Combining Philosophers

All the ideas for Lynch,MP/Glasgow,JM, Timothy Williamson and Thomas Aquinas

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209 ideas

1. Philosophy / A. Wisdom / 2. Wise People
Wise people should contemplate and discuss the truth, and fight against falsehood [Aquinas]
     Full Idea: The role of the wise person is to meditate on the truth, especially the truth regarding the first principle, and to discuss it with others, but also to fight against the falsity that is its contrary.
     From: Thomas Aquinas (Summa Contra Gentiles [1268], I.1.6), quoted by Kretzmann/Stump - Aquinas, Thomas 14
     A reaction: So nice to hear someone (from no matter how long ago) saying that wisdom is concerned with truth. If you lose your grip on truth (which many thinkers seem to have done) you must also abandon wisdom. Then fools rule.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to know the truth about the way things are [Aquinas]
     Full Idea: The study of philosophy has as its purpose to know not what people have thought, but rather the truth about the way things are.
     From: Thomas Aquinas (Sententia on 'De Caelo' [1268], I.22.228), quoted by Kretzmann/Stump - Aquinas, Thomas 05
     A reaction: I agree with this deeply unfashionable opinion. Of course, modern investigations must be more sensitive to biases built into language, culture and conceptual schemes. But I am one of those sad old folks who still think truths can be stated.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Progress in philosophy is incremental, not an immature seeking after drama [Williamson]
     Full Idea: The incremental progress which I envisage for philosophy lacks the drama after which some philosophers still hanker, and that hankering is itself a symptom of the intellectual immaturity that helps hold philosophy back.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], Intro)
     A reaction: This could stand as a motto for the whole current profession of analytical philosophy. It means that if anyone attempts to be dramatic they can make their own way out. They'll find Kripke out there, smoking behind the dustbins.
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We can't presume that all interesting concepts can be analysed [Williamson]
     Full Idea: We have no prior reason to suppose that philosophically significant concepts have interesting analyses into necessary and sufficient conditions.
     From: Timothy Williamson (Review of Bob Hale's 'Abstract Objects' [1988])
     A reaction: We might think that they are either analysable or primitive, and that failure of analysis invites us to take a concept as primitive. But maybe God can analyse it and we can't.
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Analytic philosophy has much higher standards of thinking than continental philosophy [Williamson]
     Full Idea: Certain advances in philosophical standards have been made within analytic philosophy, and there would be a serious loss of integrity involved in abandoning them in the way required to participate in current continental philosophy.
     From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.151)
     A reaction: The reply might be to concede the point, but say that the precision and rigour achieved are precisely what debar analytical philosophy from thinking about the really interesting problems. One might as well switch to maths and have done with it.
2. Reason / A. Nature of Reason / 1. On Reason
We are coerced into assent to a truth by reason's violence [Aquinas]
     Full Idea: We are coerced into assent to a truth by reason's violence.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.10)
2. Reason / A. Nature of Reason / 4. Aims of Reason
The mind is compelled by necessary truths, but not by contingent truths [Aquinas]
     Full Idea: Mind is compelled by necessary truths that can't be regarded as false, but not by contingent ones that might be false.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.h to 12)
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Supposing many principles is superfluous if a few will do it [Aquinas]
     Full Idea: It is superfluous to suppose that what can be accounted for by a few principles has been produced by many.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Ob2)
     A reaction: Notice that this is 'superfluous' rather than 'wrong'. But ten people can lift a piano which could have been lifted by eight. Note that this is 150 years before Ockham.
2. Reason / C. Styles of Reason / 1. Dialectic
Arguing with opponents uncovers truths, and restrains falsehoods [Aquinas]
     Full Idea: There is no better way of uncovering the truth and keeping falsity in check than by arguing with people who disagree with you.
     From: Thomas Aquinas (On the spiritual perfection of life [1268], 26), quoted by Kretzmann/Stump - Aquinas, Thomas 05
     A reaction: Not the sort of attitude you associate with medieval scholastics, who are presumed to be dogmatists. How many modern philosophers actually have the courage to follow this advice?
2. Reason / D. Definition / 5. Genus and Differentia
The definitions expressing identity are used to sort things [Aquinas]
     Full Idea: What sorts things into their proper genus and species are the definitions that express what they are.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.92)
     A reaction: This is straight from Aristotle, though Aristotle's view is a little more complex, I think. If the definitions 'express what they are', then definitions seem to specify the essence.
If definitions must be general, and general terms can't individuate, then Socrates can't be defined [Aquinas, by Cover/O'Leary-Hawthorne]
     Full Idea: Socrates has no definition if definitions by their nature must be in purely general terms, and if no purely general terms can succeed in uniquely singling out this signated matter.
     From: report of Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], 23) by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 1.1.2
     A reaction: There seem to be two models. That general terms actually individuate the matter of Socrates, or that they cross-reference to (so to speak) define Socrates 'by elimination', as the only individual that fits. But the latter is a poor definition.
3. Truth / A. Truth Problems / 1. Truth
Truth is universal, but knowledge of it is not [Aquinas]
     Full Idea: The truth is the same for all, but is not equally known to all.
     From: Thomas Aquinas (Summa Theologicae [1265], I-II Q94 4)
     A reaction: Amazing how many modern thinkers fail to grasp this simple distinction. However, the truth is not quite the same for all if diverse persons are expressing a single truth with different concepts and languages. The word 'facts' is helpful here.
Types of lying: Speak lies, intend lies, intend deception, aim at deceptive goal? [Aquinas, by Tuckness/Wolf]
     Full Idea: Lying can involve (1) speaking false words, (2) the intention to speak false words, (3) the intention of bringing about deception, and (4) the ultimate goal of one's deception.
     From: report of Thomas Aquinas (Summa Theologicae [1265], Q110) by Tuckness,A/Wolf,C - This is Political Philosophy 10 'Lying'
     A reaction: It's a start, but much more is needed to clarify lying. Irony is an obvious problem with (1).
3. Truth / A. Truth Problems / 3. Value of Truth
For the mind Good is one truth among many, and Truth is one good among many [Aquinas]
     Full Idea: Good itself as taken in by mind is one truth among others, and truth itself as goal of mind's activity is one good among others.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.reply)
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth and falsity apply to suppositions as well as to assertions [Williamson]
     Full Idea: The notion of truth and falsity apply to suppositions as well as to assertions.
     From: Timothy Williamson (Vagueness [1994], 7.2)
     A reaction: This may not be obvious to those who emphasise pragmatics and ordinary language, but it is self-evident to anyone who emphasises logic.
3. Truth / A. Truth Problems / 7. Falsehood
True and false are not symmetrical; false is more complex, involving negation [Williamson]
     Full Idea: The concepts of truth and falsity are not symmetrical. The asymmetry is visible in the fundamental principles governing them, for F is essentially more complex than T, by its use of negation.
     From: Timothy Williamson (Vagueness [1994], 7.5)
     A reaction: If T and F are primitives, controlled by axioms, then they might be symmetrical in nature, but asymmetrical in use. However, if forced to choose just one primitive, I presume it would be T.
3. Truth / A. Truth Problems / 9. Rejecting Truth
If the existence of truth is denied, the 'Truth does not exist' must be true! [Aquinas]
     Full Idea: Whoever denies the existence of truth grants that truth does not exist: and if truth does not exist, then the proposition 'Truth does not exist' is true: and if there is anything true, there must be truth.
     From: Thomas Aquinas (Summa Theologicae [1265], Art 1, Obj 3)
     A reaction: A classic example of turning the tables, also applicable to anyone who firmly denies knowledge, or that words are meaningful, or says that meaning needs verification. However, one measily truth is not much consolation.
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
The truthmaker principle requires some specific named thing to make the difference [Williamson]
     Full Idea: The truthmaker principle seems compelling, because if a proposition is true, something must be different from a world in which it is false. The principle makes this specific, by treating 'something' as a quantifier binding a variable in name position.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
     A reaction: See Williamson for an examination of the logical implications of this. The point is that the principle seems to require some very specific 'thing', which may be asking too much. For a start, it might be the absence of a thing.
3. Truth / B. Truthmakers / 7. Making Modal Truths
The converse Barcan formula will not allow contingent truths to have truthmakers [Williamson]
     Full Idea: The converse Barcan formula does not allow any contingent truths at all to have a truthmaker. Once cannot combine the converse Barcan formula with any truthmaker principle worth having.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: One might reply, so much the worse for the converse Barcan formula, but Williamson doesn't think that.
Truthmaker is incompatible with modal semantics of varying domains [Williamson]
     Full Idea: Friends of the truthmaker principle should reject the Kripke semantics of varying domains.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: See other ideas from this paper to get a sense of what that is about.
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Truth is the conformity of being to intellect [Aquinas]
     Full Idea: The word 'true' expresses the conformity of a being to intellect.
     From: Thomas Aquinas (Disputed questions about truth [1267], I.1c), quoted by Kretzmann/Stump - Aquinas, Thomas 09
     A reaction: I believe in a 'robust' theory of truth, but accept that the concept of 'correspondence' has major problems. So I embrace with delight the word 'conformity'. I offer the world The Conformity Theory of Truth! 'Conform' is suitably vague.
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence to the facts is a bad account of analytic truth [Williamson]
     Full Idea: Even if talk of truth as correspondence to the facts is metaphorical, it is a bad metaphor for analytic truth in a way that it is not for synthetic truth.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], 3.1)
     A reaction: A very simple and rather powerful point. Maybe the word 'truth' should be withheld from such cases. You might say that accepted analytic truths are 'conventional'. If that is wrong, then they correspond to natural facts at a high level of abstraction.
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
In S5 matters of possibility and necessity are non-contingent [Williamson]
     Full Idea: In system S5 matters of possibility and necessity are always non-contingent.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 3)
     A reaction: This will be because if something is possible in one world (because it can be seen to be true in some possible world) it will be possible for all worlds (since they can all see that world in S5).
If metaphysical possibility is not a contingent matter, then S5 seems to suit it best [Williamson]
     Full Idea: In S5, necessity and possibility are not themselves contingent matters. This is plausible for metaphysical modality, since metaphysical possibility, unlike practical possibility, does not depend on the contingencies of one's situation.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §1)
     A reaction: This is the clearest statement I have found of why S5 might be preferable for metaphysics. See Nathan Salmon for the rival view. Williamson's point sounds pretty persuasive to me.
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
If the domain of propositional quantification is constant, the Barcan formulas hold [Williamson]
     Full Idea: If the domain of propositional quantification is constant across worlds, the Barcan formula and its converse hold.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
     A reaction: So the issue is whether we should take metaphysics to be dealing with a constant or varying domains. Williamson seems to favour the former, but my instincts incline towards the latter.
If a property is possible, there is something which can have it [Williamson]
     Full Idea: Barcan's axiom says if there can be something that has a certain property, then there is something that can have that property. It and its converse are not obviously correct or incorrect. They claim that it is non-contingent what individuals there are.
     From: Timothy Williamson (Laudatio: Prof Ruth Barcan Marcus [2011], p.1)
     A reaction: Williamson defends the two Barcan formulas, but the more I understand them the less plausible they sound to me.
Converse Barcan: could something fail to meet a condition, if everything meets that condition? [Williamson]
     Full Idea: The converse Barcan is at least plausible, since its denial says there is something that could fail to meet a condition when everything met that condition; but how could everything meet that condition if that thing did not?
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: Presumably the response involves a discussion of domains, since everything in a given domain might meet a condition, but something in a different domain might fail it.
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Many-valued logics don't solve vagueness; its presence at the meta-level is ignored [Williamson]
     Full Idea: It is an illusion that many-valued logic constitutes a well-motivated and rigorously worked out theory of vagueness. ...[top] There has been a reluctance to acknowledge higher-order vagueness, or to abandon classical logic in the meta-language.
     From: Timothy Williamson (Vagueness [1994], 4.12)
4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic
Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson]
     Full Idea: Fuzzy logic is based on a continuum of degrees of truth, but it is committed to the idea that it is half-true that one identical twin is tall and the other twin is not, even though they are the same height.
     From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.154)
     A reaction: Maybe to be shocked by a contradiction is missing the point of fuzzy logic? Half full is the same as half empty. The logic does not say the twins are different, because it is half-true that they are both tall, and half-true that they both aren't.
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Formal logic struck me as exactly the language I wanted to think in [Williamson]
     Full Idea: As soon as I started learning formal logic, that struck me as exactly the language that I wanted to think in.
     From: Timothy Williamson (Interview with Baggini and Stangroom [2001])
     A reaction: It takes all sorts… It is interesting that formal logic might be seen as having the capacity to live up to such an aspiration. I don't think the dream of an ideal formal language is dead, though it will never encompass all of reality. Poetic truth.
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
If a syllogism admits one absurdity, others must follow [Aquinas]
     Full Idea: In syllogistic arguments, granted one absurdity, others must follow too.
     From: Thomas Aquinas (Summa Theologicae [1265], I-II Q19 6)
     A reaction: This asserts the necessity of logical consequence, which he derives from Aristotle.
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Formal semantics defines validity as truth preserved in every model [Williamson]
     Full Idea: An aim of formal semantics is to define in mathematical terms a set of models such that an argument is valid if and only if it preserves truth in every model in the set, for that will provide us with a precise standard of validity.
     From: Timothy Williamson (Vagueness [1994], 5.3)
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false [Williamson]
     Full Idea: The meta-logical law of excluded middle is the meta-linguistic principle that any statement 'A' in the object language is either truth or false; it is now known as the principle of 'bivalence'.
     From: Timothy Williamson (Vagueness [1994], 5.2)
     A reaction: [He cites Henryk Mehlberg 1958] See also Idea 21605. Without this way of distinguishing bivalence from excluded middle, most discussions of them strikes me as shockingly lacking in clarity. Personally I would cut the normativity from this one.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded Middle is 'A or not A' in the object language [Williamson]
     Full Idea: The logical law of excluded middle (now the standard one) is the schema 'A or not A' in the object-language.
     From: Timothy Williamson (Vagueness [1994], 5.2)
     A reaction: [He cites Henryk Mehlberg 1958] See Idea 21606. The only sensible way to keep Excluded Middle and Bivalence distinct. I would say: (meta-) only T and F are available, and (object) each proposition must have one of them. Are they both normative?
5. Theory of Logic / G. Quantification / 1. Quantification
Not all quantification is either objectual or substitutional [Williamson]
     Full Idea: We should not assume that all quantification is either objectual or substitutional.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], p.262)
     A reaction: [see Prior 1971:31-4] He talks of quantifying into sentence position.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson]
     Full Idea: If quantification into sentence position is substitutional, then it is metaphysically neutral. A substitutionally interpreted 'existential' quantification is semantically equivalent to the disjunction (possibly infinite) of its substitution instances.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
     A reaction: Is it not committed to the disjunction, just as the objectual reading commits to objects? Something must make the disjunction true. Or is it too verbal to be about reality?
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Not all quantification is objectual or substitutional [Williamson]
     Full Idea: We should not assume that all quantification is objectual or substitutional.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Or-elimination is 'Argument by Cases'; it shows how to derive C from 'A or B' [Williamson]
     Full Idea: Argument by Cases (or or-elimination) is the standard way of using disjunctive premises. If one can argue from A and some premises to C, and from B and some premises to C, one can argue from 'A or B' and the combined premises to C.
     From: Timothy Williamson (Vagueness [1994], 5.3)
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
A sorites stops when it collides with an opposite sorites [Williamson]
     Full Idea: A sorites paradox is stopped when it collides with a sorites paradox going in the opposite direction. That account will not strike a logician as solving the sorites paradox.
     From: Timothy Williamson (Vagueness [1994], 3.3)
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson]
     Full Idea: The Fregean argument for platonism is that some true assertions contain singular terms which denote abstract objects if they denote anything; since the assertions are true, the singular terms denote.
     From: Timothy Williamson (Review of Bob Hale's 'Abstract Objects' [1988])
     A reaction: I am perplexed that anyone would rest their view of reality on such an argument. The obvious comparison would be with true remarks about blatantly fictional characters, or blatantly invented concepts such as 'checkmate'.
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
If affirmative propositions express being, we affirm about what is absent [Aquinas]
     Full Idea: If being is what makes propositions true, then anything we can express in an affirmative proposition, however unreal, is said to be; so lacks and absences are, since we say that absences are opposed to presences, and blindness exists in an eye.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.92)
     A reaction: See Idea 11194 for the alternative Aristotelian approach to being, according to categories. Do absences and lacks have real essences, or causal properties? The absence of the sentry may cause the loss of the city.
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Being is basic to thought, and all other concepts are additions to being [Aquinas]
     Full Idea: Being is inherently intellect's most intelligible object, in which it finds the basis of all conceptions. ...All of intellect's other conceptions must be arrived at by adding to being, insofar as they express what is not expressed by 'being' itself.
     From: Thomas Aquinas (Disputed questions about truth [1267], I.1c), quoted by Kretzmann/Stump - Aquinas, Thomas 09
     A reaction: I like the word 'intelligible' here. We might know reality, or be aware of appearances, but what is intelligible lies nicely in between. What would Berkeley make of that? I presume 'intelligible' means 'makes good sense'.
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
Being implies distinctness, which implies division, unity, and multitude [Aquinas]
     Full Idea: What first comes to mind is being; secondly, that this being is not that being, and thus we apprehend division as a consequence; thirdly, comes the notion of one; fourthly the notion of multitude.
     From: Thomas Aquinas (Summa Theologicae [1265], I Q11 ar2 ad4), quoted by Roderick Chisholm - Person and Object 1.5
     A reaction: This is one of the best things I have read on 'being'. It is the Aristotelian recognition that we can only study being by studying identity, and that this leads on to wider metaphysics. Other approaches to being are dead ends.
7. Existence / C. Structure of Existence / 3. Levels of Reality
A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow]
     Full Idea: It seems unavoidable that the facts about logically necessary relations between levels of facts are themselves logically distinct further facts, irreducible to the microphysical facts.
     From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C)
     A reaction: I'm beginning to think that rejecting every theory of reality that is proposed by carefully exposing some infinite regress hidden in it is a rather lazy way to do philosophy. Almost as bad as rejecting anything if it can't be defined.
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow]
     Full Idea: Logical supervenience, restricted to individuals, seems to imply strong reduction. It is said that where the B-facts logically supervene on the A-facts, the B-facts simply re-describe what the A-facts describe, and the B-facts come along 'for free'.
     From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C)
     A reaction: This seems to be taking 'logically' to mean 'analytically'. Presumably an entailment is logically supervenient on its premisses, and may therefore be very revealing, even if some people think such things are analytic.
7. Existence / D. Theories of Reality / 4. Anti-realism
The realist/anti-realist debate is notoriously obscure and fruitless [Williamson]
     Full Idea: The debate between realism and anti-realism has become notorious in the rest of philosophy for its obscurity, convolution, and lack of progress.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], After)
     A reaction: I find this reassuring, because fairly early on I decided that this problem was not of great interest, and quietly tiptoed away. I take the central issue to be whether nature has 'joints', to which the answer appears to be 'yes'. End of story.
7. Existence / D. Theories of Reality / 5. Naturalism
Non-human things are explicable naturally, and voluntary things by the will, so God is not needed [Aquinas]
     Full Idea: All natural things can be reduced to one principle, which is nature; and all voluntary things can be reduced to one principle, which is human reason, or will. Therefore God does not exist.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Ob2)
     A reaction: Not, of course, the opinion of Aquinas. So the possibility of naturalism (assuming the human will can be further reduced to nature) was a clear option in the thirteenth century. In reply Aquinas cites his Fifth Way.
7. Existence / D. Theories of Reality / 6. Physicalism
Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow]
     Full Idea: The root intuition behind nonreductive materialism is that reality is composed of ontologically distinct layers or levels. …The upper levels depend on the physical without reducing to it.
     From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], B)
     A reaction: A nice clear statement of a view which I take to be false. This relationship is the sort of thing that drives people fishing for an account of it to use the word 'supervenience', which just says two things seem to hang out together. Fluffy materialism.
The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow]
     Full Idea: Jessica Wilson (1999) says what makes physicalist accounts different from emergentism etc. is that each individual causal power associated with a supervenient property is numerically identical with a causal power associated with its base property.
     From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], n 11)
     A reaction: Hence the key thought in so-called (serious, rather than self-evident) 'emergentism' is so-called 'downward causation', which I take to be an idle daydream.
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
If 'fact' is a noun, can we name the fact that dogs bark 'Mary'? [Williamson]
     Full Idea: If one uses 'fact' as a noun, the question arises why one cannot name the fact that dogs bark 'Mary'.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2 n10)
     A reaction: What an intriguing thought! Must all nouns pass this test? 'The courage of the regiment was called Alfred'?
7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
A vague term can refer to very precise elements [Williamson]
     Full Idea: Both 30° and 60° are clearly acute angles. 'Acute' is precise in all relevant respects. Nevertheless, 30° is acuter than 60°.
     From: Timothy Williamson (Vagueness [1994], 4.11)
     A reaction: A very nice example of something which is vague, despite involving precise ingredients. But then 'bald' is vague, while 'this is a hair on his head' is fairly precise.
When bivalence is rejected because of vagueness, we lose classical logic [Williamson]
     Full Idea: The principle of bivalence (that every statement is either true or false) has been rejected for vague languages. To reject bivalence is to reject classical logic or semantics.
     From: Timothy Williamson (Vagueness [1994], Intro)
     A reaction: His example is specifying a moment when Rembrandt became 'old'. This is the number one reason why the problem of vagueness is seen as important. Is the rejection of classical logic a loss of our grip on the world?
Vagueness undermines the stable references needed by logic [Williamson]
     Full Idea: Logic requires expressions to have the same referents wherever they occur; vague natural languages violate this contraint.
     From: Timothy Williamson (Vagueness [1994], 2.2)
     A reaction: This doesn't mean that logic has to win. Maybe it is important for philosophers who see logic as central to be always aware of vagueness as the gulf between their precision and the mess of reality. Precision is worth trying for, though.
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Equally fuzzy objects can be identical, so fuzziness doesn't entail vagueness [Williamson]
     Full Idea: Fuzzy boundaries do not in any way require vague identity. Objects are identical only if their boundaries have exactly the same fuzziness.
     From: Timothy Williamson (Vagueness [1994], 9.2)
     A reaction: This all rests on the Fregean idea that determinate existence requires the ability to participate in an identity statement.
There cannot be vague objects, so there may be no such thing as a mountain [Williamson]
     Full Idea: It is sometimes argued that if there is such a thing as a mountain it would be a vague object, but it is logically impossible for an object to be vague, so there is no such thing as a mountain.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], 7.2)
     A reaction: I don't take this to be a daft view. No one is denying the existence of the solid rock that is involved, but allowing such a vague object may be a slippery slope to the acceptance of almost anything as an 'object'.
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Vagueness is epistemic. Statements are true or false, but we often don't know which [Williamson]
     Full Idea: My thesis is that vagueness is an epistemic phenomenon. In cases of unclarity, statements remain true or false, but speakers of the language have no way of knowing which. Higher-order vagueness consists in ignorance about ignorance.
     From: Timothy Williamson (Vagueness [1994], Intro)
     A reaction: He has plumped for the intuitively least plausible theory. It means that a hair dropping out of someone's head triggers a situation where they are 'bald', but none of us know when that was. And Rembrandt became 'old' in an instant.
If a heap has a real boundary, omniscient speakers would agree where it is [Williamson]
     Full Idea: If, in judging a heap as grains are removed, omniscient speakers all stop at the same point, it must does mark some sort of previously hidden boundary. ...If there is no hidden boundary, then different omniscient speakers would stop at different points.
     From: Timothy Williamson (Vagueness [1994], 7.3)
     A reaction: A very nice thought experiment, which obviously won't settle anything, but brings out nicely the view the vagueness is a sort of ignorance. God is never vague in the application of terms (though God might withhold the application if there is no boundary).
The epistemic view says that the essence of vagueness is ignorance [Williamson]
     Full Idea: The epistemic view is that ignorance is the real essence of the phenomenon ostensively identified as vagueness. ...[203] According to the epistemic view, I am either thin or not thin, ...and we have no idea how to find out out which.
     From: Timothy Williamson (Vagueness [1994], 7.4)
     A reaction: Presumably this implies that there is often a real border (of which we may be ignorant), but it doesn't seem to rule out cases where there just is no border. Where does the east Atlantic meet the west Atlantic?
If there is a true borderline of which we are ignorant, this drives a wedge between meaning and use [Williamson]
     Full Idea: A common complaint against the epistemic view is that to postulate a matter of fact in borderline cases is to suppose, incoherently, that the meanings of our words draw a line where our use of them does not.
     From: Timothy Williamson (Vagueness [1994], 7.5)
     A reaction: This doesn't necessarily seem to require the view that the meaning of words is their usage. Just that if there is one consensus on usage, it seems unlikely that there is a different underlying reality about the true meaning. Externalist meanings?
Vagueness in a concept is its indiscriminability from other possible concepts [Williamson]
     Full Idea: Vagueness in a concept is its indiscriminability from other possible concepts; this can be reconciled with our knowledge of vague terms.
     From: Timothy Williamson (Vagueness [1994], 8.1)
     A reaction: Sorensen objects that this makes vagueness too relative to members of a speech community. He prefers 'absolute borderline cases'. If you like the epistemic view, then Williamson seems more plausible. My 'vague' might differ from yours.
Close to conceptual boundaries judgement is too unreliable to give knowledge [Williamson]
     Full Idea: If one is very close to a conceptual boundary, then one's judgement will be too unreliable to constitute knowledge, and therefore one will be ignorant.
     From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.156)
     A reaction: This is the epistemological rather than ontological interpretation of vagueness. It sounds very persuasive, but I am reluctant to accept that reality is full of very precise boundaries which we cannot quite discriminate.
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
The 'nihilist' view of vagueness says that 'heap' is not a legitimate concept [Williamson]
     Full Idea: The 'nihilist' view is that no genuine distinction can be vaguely drawn; since vague expressions are not properly meaningful, there is nothing for sorites reasoning to betray; they are empty.
     From: Timothy Williamson (Vagueness [1994], 6.1)
     A reaction: He cites Frege as holding this view. The thought is that 'heap' is not a legitimate concept, so fussing over what qualifies as one is pointless. This seems to be a semantic view of vagueness, of which the main rival is the contextual view.
We can say propositions are bivalent, but vague utterances don't express a proposition [Williamson]
     Full Idea: A philosopher might endorse bivalence for propositions, while treating vagueness as the failure of an utterance to express a unique proposition.
     From: Timothy Williamson (Vagueness [1994], 7.2)
     A reaction: This idea jumps at out me as an extremely promising approach to vagueness, because I am a fan of propositions (and have written a paper on them). The whole point of propositions is that they are not ambiguous (and probably not vague).
If the vague 'TW is thin' says nothing, what does 'TW is thin if his perfect twin is thin' say? [Williamson]
     Full Idea: If vague utterances in borderline cases fail to say anything, then if 'TW is thin' is vague, and TW has a twin of identical dimensions, it still seems that 'If TW is thin then his twin is thin' must be true, and so it must have said something.
     From: Timothy Williamson (Vagueness [1994], 7.2 (d))
     A reaction: This an objection to the Fregean 'nihilistic' view of Idea 21614. I am inclined to a solution based on the proposition expressed, rather than the sentence. The first question is whether you are willing to assert 'TW is thin'.
The vagueness of 'heap' can remain even when the context is fixed [Williamson]
     Full Idea: Vagueness remains even when the context is fixed. In principle, a vague word might exhibit no context dependence whatsoever. ...For example, a dispute over whether someone has left a 'heap' of sand on the floor.
     From: Timothy Williamson (Vagueness [1994], 7.7)
     A reaction: A fairly devastating rebuttal of what seems to be David Lewis's view. He talks of something being 'smooth' depending on context.
7. Existence / D. Theories of Reality / 10. Vagueness / e. Higher-order vagueness
Asking when someone is 'clearly' old is higher-order vagueness [Williamson]
     Full Idea: Difficulties of vagueness are presented by the question 'When did Rembrandt become clearly old?', and the iterating question 'When did he become clearly clearly old?'. This is the phenomenon of higher-order vagueness. The language of vagueness is vague.
     From: Timothy Williamson (Vagueness [1994], Intro)
     A reaction: [compressed] I presume the bottom level is a question about Rembrandt, the second level is about this use of the word 'old', and the third level is about this particular application of the word 'clearly'. Meta-languages.
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
Supervaluationism defines 'supertruth', but neglects it when defining 'valid' [Williamson]
     Full Idea: Supervaluationists identify truth with 'supertruth'; since validity is necessary preservation of truth, they should identify it with necessary preservation of supertruth. But it plays no role in their definition of 'local' validity.
     From: Timothy Williamson (Vagueness [1994], 5.3)
     A reaction: [See text for 'local'] Generally Williamson's main concern with attempts to sort out vagueness is that higher-order and meta-language issues are neglected.
Supervaluation adds a 'definitely' operator to classical logic [Williamson]
     Full Idea: Supervaluation seems to inherit the power of classical logic, ...but also enables it to be extended. It makes room for a new operator 'definitely' to express supertruth in the object-language.
     From: Timothy Williamson (Vagueness [1994], 5.3)
     A reaction: Once you mention higher-order vagueness you can see a regress looming over the horizon. 'He is definitely definitely definitely bald'. [p.164 he says 'definitely' has no analysis, and is an uninteresting primitive]
Supervaluationism cannot eliminate higher-order vagueness [Williamson]
     Full Idea: Supervaluationism cannot eliminate higher-order vagueness. It must conduct its business in a vague meta-language. ...[162] All truth is at least disquotational, and supertruth is not.
     From: Timothy Williamson (Vagueness [1994], 5.6)
     A reaction: This is Williamson's final verdict on the supervaluation strategy for vagueness. Intuitively, it looks as if merely narrowing down the vagueness (by some sort of consensus) is no solution to the problem of vagueness.
Supervaluation keeps classical logic, but changes the truth in classical semantics [Williamson]
     Full Idea: Supervaluationism preserves almost all of classical logic, at the expense of classical semantics, but giving a non-standard account of truth. I argue that its treatment of higher-order vagueness undermines the non-standard account of truth.
     From: Timothy Williamson (Vagueness [1994], Intro)
You can't give a precise description of a language which is intrinsically vague [Williamson]
     Full Idea: If a vague language is made precise, its expressions change in meaning, so an accurate semantic description of the precise language is inaccurate as a description of the vague one.
     From: Timothy Williamson (Vagueness [1994], 5.1)
     A reaction: Kind of obvious, really, but it clarifies the nature of any project (starting with Leibniz) to produce a wholly precise language. That is usually seen as a specialist language for science.
Supervaluation assigns truth when all the facts are respected [Williamson]
     Full Idea: 'Admissible' interpretations respect all the theoretical and ostensive connections. ...'Supervaluation' is the assignment of truth to the statements true on all admissible valuations, falsity to the false one, and neither to the rest.
     From: Timothy Williamson (Vagueness [1994], 5.2)
     A reaction: So 'he is bald' is true if when faced with all observations and definitions it is acceptable. Prima facie, that doesn't sound like a solution to the problem. Supervaluation started in philosophy of science. [p.156 'Admissible seems vague']
Supervaluation has excluded middle but not bivalence; 'A or not-A' is true, even when A is undecided [Williamson]
     Full Idea: The supervaluationist denies bivalence but accepts excluded middle. The statement 'A or not-A' is true on each admissible interpretation, and therefore true, even if 'A' (and hence 'not-A') are true and some and false on others, so neither T nor F.
     From: Timothy Williamson (Vagueness [1994], 5.2)
     A reaction: See Ideas 21605 and 21606 for the distinction being used here. Denying bivalence allows 'A' to be neither true nor false. It seems common sense that 'he is either bald or not-bald' is true, without being sure about the disjuncts.
Truth-functionality for compound statements fails in supervaluation [Williamson]
     Full Idea: A striking fearure of supervaluations is the failure of truth-functionality for compound statements.
     From: Timothy Williamson (Vagueness [1994], 5.3)
     A reaction: Supervaluations has the initial appearance of enhancing classical logic, but turns out to somewhat undermine it. Hence Williamson's lack of sympathy. But see Idea 21610.
7. Existence / E. Categories / 4. Category Realism
Different genera are delimited by modes of predication, which rest on modes of being [Aquinas]
     Full Idea: Being is delimited into different genera in accord with different modes of predicating, which depend on different modes of being.
     From: Thomas Aquinas (On Aristotle's 'Metaphysics' [1266], V.9.890), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 12.3
     A reaction: I like this. When people say that predication is the way we divide things up, and go all linguistic-relativist about things, they forget how closely language not only describes reality, but arises out of, or is even caused by, reality. 'Grue' is silly.
8. Modes of Existence / B. Properties / 8. Properties as Modes
Properties have an incomplete essence, with definitions referring to their subject [Aquinas]
     Full Idea: Incidental properties have an incomplete essence, and need to refer in their definitions to their subject, lying outside their own genus.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.93)
     A reaction: These are 'incidental' properties, but it is a nice question whether properties have essences. Presumably they must have if they are universals, or platonic Forms. The notion of being 'strong' can be defined without specific examples.
Whiteness does not exist, but by it something can exist-as-white [Aquinas]
     Full Idea: Whiteness is said to exist not because it subsists in itself, but because by it something has existence-as-white.
     From: Thomas Aquinas (Quodlibeta [1267], IX.2.2), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 10.2
     A reaction: It seems unavoidable to refer to the whiteness as 'it'. It might be called the 'adverbial' theory of properties, as ways of doing something.
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
If the form of 'human' contains 'many', Socrates isn't human; if it contains 'one', Socrates is Plato [Aquinas]
     Full Idea: If (in the Platonic view) manyness was contained in humanness it could never be one as it is in Socrates, and if oneness was part of its definition then Socrates would be Plato and the nature couldn't be realised more than once.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.100)
     A reaction: I suppose the reply is that since we are trying to explain one-over-many, then this unusual combination of both manyness and oneness is precisely what distinguishes forms from other ideas.
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalists suspect that properties etc are our projections, and could have been different [Williamson]
     Full Idea: The nominalist suspects that properties, relations and states of affairs are mere projections onto the world of our forms of speech. One source of the suspicion is a sense that we could just as well have classified things differently.
     From: Timothy Williamson (Vagueness [1994], 9.3)
     A reaction: I know it is very wicked to say so, but I'm afraid I have some sympathy with this view. But I like the primary/secondary distinction, so there is more 'projection' in the latter case. Classification is not random; it is a response to reality.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
The principle of diversity for corporeal substances is their matter [Aquinas, by Cover/O'Leary-Hawthorne]
     Full Idea: In the view of Aquinas, while substantial form is the ultimate ground of identity and difference of angels, it is matter that provides a principle of diversity in the case of corporeal substances.
     From: report of Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267]) by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 5.2.3
     A reaction: This is at least as good a proposal as their apatial location. There is more chance of reidentifying matter than of precisely reidentifying a spatial location. Two indistinguishable spheres remain the classic problem case (of Max Black, Idea 10195)
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
'One' can mean undivided and not a multitude, or it can add measurement, giving number [Aquinas]
     Full Idea: There are two sorts of one. There is the one which is convertible with being, which adds nothing to being except being undivided; and this deprives of multitude. Then there is the principle of number, which to the notion of being adds measurement.
     From: Thomas Aquinas (Quaestiones de Potentia Dei [1269], q3 a16 ad 3-um)
     A reaction: [From a lecture handout] I'm not sure I understand this. We might say, I suppose, that insofar as water is water, it is all one, but you can't count it. Perhaps being 'unified' and being a 'unity' are different?
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
If fuzzy edges are fine, then why not fuzzy temporal, modal or mereological boundaries? [Williamson]
     Full Idea: If objects can have fuzzy spatial boundaries, surely they can have fuzzy temporal, modal or mereological boundaries too.
     From: Timothy Williamson (Vagueness [1994], 9.2)
     A reaction: Fair point. I think there is a distinction between parts of the thing, such as its edges, being fuzzy, and the whole thing being fuzzy, in the temporal case.
What sort of logic is needed for vague concepts, and what sort of concept of truth? [Williamson]
     Full Idea: The problem of vagueness is the problem of what logic is correct for vague concepts, and correspondingly what notions of truth and falsity are applicable to vague statements (does one need a continuum of degrees of truth, for example?).
     From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.153)
     A reaction: This certainly makes vagueness sound like one of the most interesting problems in all of philosophy, though also one of the most difficult. Williamson's solution is that we may be vague, but the world isn't.
Common sense and classical logic are often simultaneously abandoned in debates on vagueness [Williamson]
     Full Idea: The constraints of common sense and classical logic are often simultaneously abandoned in debates on vagueness.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], After)
     A reaction: Wiliamson has described himself (in my hearing) as a 'rottweiller realist', but presumably the problem of vagueness interests a lot of people precisely because it pushes us away from common sense and classical logic.
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
Humans only have a single substantial form, which contains the others and acts for them [Aquinas]
     Full Idea: A human being has no substantial form other than the intellective soul alone, and it contains the sensitive and nutritive souls, and all lower forms, and it alone brings about whatever it is that less perfect forms bring about in other things.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia Q76 4c), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 25.1
     A reaction: He says brutes and plants also have a single soul. Pasnau says this is Aquinas's most distinctive doctrine, because other thinkers postulate a whole hierarchy of substantial forms.
One thing needs a single thing to unite it; if there were two forms, something must unite them [Aquinas]
     Full Idea: One thing simpliciter is produced out of many actually existing things only if there is something uniting and tying them to each other. If Socrates were animal and rational by different forms, then to be united they would need something to make them one.
     From: Thomas Aquinas (Quaestiones de anima [1269], 11c), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 25.2
     A reaction: This is the reply to the idea that a single thing is just an interesting of many sortal essences. It presumes, of course, that a thing like a horse has something called 'unity'.
9. Objects / D. Essence of Objects / 1. Essences of Objects
It is by having essence that things exist [Aquinas]
     Full Idea: It is by having essence that things exist.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.94)
     A reaction: Compare Idea 11199, which gives a fuller picture. This idea seems to suggest essence as the cause of existence, which sounds wrong. Perhaps essence is a necessary condition of existence, but it is necessary that nothing indeterminate can exist?
9. Objects / D. Essence of Objects / 2. Types of Essence
Specific individual essence is defined by material, and generic essence is defined by form [Aquinas]
     Full Idea: Specific essence differs from generic essence by being demarcated: individuals are demarcated within species by dimensionally defined material, but species within genus by a defining differentiation taken from the form.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.95)
     A reaction: It clearly won't be enough to define an individual just to define its material and its shape. The material might also be essential to the genus, as when defining fire. Probably not very helpful.
9. Objects / D. Essence of Objects / 4. Essence as Definition
The definition of a physical object must include the material as well as the form [Aquinas]
     Full Idea: Form alone cannot be a composite substance's essence. For a thing's essence is expressed by its definition, and unless the definition of a physical substance included both form and material, the definition wouldn't differ from mathematical objects.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.93)
     A reaction: This is the sort of thoroughly sensible remark that you only get from the greatest philosophers. Minor philosophers fall in love with things like forms, and then try to use them to explain everything.
9. Objects / D. Essence of Objects / 5. Essence as Kind
Essence is something in common between the natures which sort things into categories [Aquinas]
     Full Idea: Since being as belonging to a category expresses the 'isness' of things, and belongs to all ten Aristotelian categories, essence must be something all the natures that sort different beings into genera and species have in common.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.92)
     A reaction: I like this because it is the essence which does the sorting, not the sorting which defines the essence (which seems to me to be a deep and widespread confusion).
9. Objects / D. Essence of Objects / 6. Essence as Unifier
A simple substance is its own essence [Aquinas]
     Full Idea: A simple substance is its own essence.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.103)
     A reaction: Aquinas takes complex substances to have their essences in various ways, but this thought is the basis of all essence. Presumably the Greek word 'ousia' names the key ingredient.
9. Objects / E. Objects over Time / 8. Continuity of Rivers
A river is not just event; it needs actual and counterfactual boundaries [Williamson]
     Full Idea: A river is not just an event. One would need to specify counterfactual as well as actual boundaries.
     From: Timothy Williamson (Vagueness [1994], 9.3)
     A reaction: In other words the same river can change its course a bit, but it can't head off in the opposite direction.
10. Modality / A. Necessity / 1. Types of Modality
Necessity is counterfactually implied by its negation; possibility does not counterfactually imply its negation [Williamson]
     Full Idea: Modal thinking is logically equivalent to a type of counterfactual thinking. ...The necessary is that which is counterfactually implied by its own negation; the possible is that which does not counterfactually imply its own negation.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
     A reaction: I really like this, because it builds modality on ordinary imaginative thinking. He says you just need to grasp counterfactuals, and also negation and absurdity, and you can then understand necessity and possibility. We can all do that.
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
Strict conditionals imply counterfactual conditionals: □(A⊃B)⊃(A□→B) [Williamson]
     Full Idea: The strict conditional implies the counterfactual conditional: □(A⊃B) ⊃ (A□→B) - suppose that A would not have held without B holding too; then if A had held, B would also have held.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
     A reaction: [He then adds a reading of his formula in terms of possible worlds] This sounds rather close to modus ponens. If A implies B, and A is actually the case, what have you got? B!
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactual conditionals transmit possibility: (A□→B)⊃(◊A⊃◊B) [Williamson]
     Full Idea: The counterfactual conditional transmits possibility: (A□→B) ⊃ (◊A⊃◊B). Suppose that if A had held, B would also have held; the if it is possible for A to hold, it is also possible for B to hold.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 1)
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Rather than define counterfactuals using necessity, maybe necessity is a special case of counterfactuals [Williamson, by Hale/Hoffmann,A]
     Full Idea: Instead of regarding counterfactuals as conditionals restricted to a range of possible worlds, we can define the necessity operator by means of counterfactuals. Metaphysical necessity is a special case of ordinary counterfactual thinking.
     From: report of Timothy Williamson (Modal Logic within Counterfactual Logic [2010]) by Bob Hale/ Aviv Hoffmann - Introduction to 'Modality' 2
     A reaction: [compressed] I very much like Williamson's approach, of basing these things on the ordinary way that ordinary people think. To me it is a welcome inclusion of psychology into metaphysics, which has been out in the cold since Frege.
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
We can't infer metaphysical necessities to be a priori knowable - or indeed knowable in any way [Williamson]
     Full Idea: The inference from metaphysical necessity to a priori knowlability is, as Kripke has emphasized, fallacious. Indeed, metaphysical necessities cannot be assumed knowable in any way at all.
     From: Timothy Williamson (Vagueness [1994], 7.4)
     A reaction: The second sentence sounds like common sense. He cites Goldbach's Conjecture. A nice case of the procedural rule of keeping your ontology firmly separated from your epistemology. How is it? is not How do we know it?
Modal thinking isn't a special intuition; it is part of ordinary counterfactual thinking [Williamson]
     Full Idea: The epistemology of metaphysical modality requires no dedicated faculty of intuition. It is simply a special case of the epistemology of counterfactual thinking, a kind of thinking tightly integrated with our thinking about the spatio-temporal world.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], 5.6)
     A reaction: This seems to me to be spot-on, though it puts the focus increasingly on the faculty of imagination, as arguably an even more extraordinary feature of brains than the much-vaunted normal consciousness.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Williamson can't base metaphysical necessity on the psychology of causal counterfactuals [Lowe on Williamson]
     Full Idea: The psychological mechanism that Williamson proposes as the supposedly reliable source of our knowledge of necessities only seems applicable to counterfactuals that are distinctively causal, not metaphysical, in character.
     From: comment on Timothy Williamson (The Philosophy of Philosophy [2007]) by E.J. Lowe - What is the Source of Knowledge of Modal Truths? 5
     A reaction: My rough impression of Williamson's account is that it is correct but unilluminating. We have to assess necessities by counterfactual thinking, because nothing else is available (apart from evaluating the coherence of the findings).
We scorn imagination as a test of possibility, forgetting its role in counterfactuals [Williamson]
     Full Idea: The epistemology of modality often focuses on (and pours scorn on) imagination or conceivability as a test of possibility, while ignoring the role of the imagination in the assessment of mundane counterfactuals.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], 5.4)
     A reaction: Good point. I've been guilty of this easy scorn myself. Williamson gives our modal capacities an evolutionary context. What is needed is well-informed imagination, rather than wild fantasy.
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
Our ability to count objects across possibilities favours the Barcan formulas [Williamson]
     Full Idea: Consideration of our ability to count objects across possibilities strongly favour both the Barcan formula and its converse.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: I'm not sure that I can understand counting objects across possibilities. The objects themselves are possibilia, and possibilia seem to include unknowns. The unexpected is highly possible.
If talking donkeys are possible, something exists which could be a talking donkey [Williamson, by Cameron]
     Full Idea: Williamson's view on modality is that everything that could exist does exist: since there could exist a talking donkey there actually exists some thing that could be a talking donkey.
     From: report of Timothy Williamson (Modal Logic as Metaphysics [2013], n20) by Ross P. Cameron - Truthmaking for Presentists n20
     A reaction: Well that thing certainly isn't me, or Tim Williamson. I'm guessing that the thing is an actual donkey, probably a rather bright one. Actually, I think this is one of those views that invites the incredulous stare. (Barcan formulae).
11. Knowledge Aims / A. Knowledge / 1. Knowledge
We have inexact knowledge when we include margins of error [Williamson]
     Full Idea: Inexact knowledge is a widespread and easily recognised cognitive phenomenon, whose underlying nature turns out to be characterised by the holding of margin of error principles.
     From: Timothy Williamson (Vagueness [1994], 8.3)
     A reaction: Williamson is invoking this as a tool in developing his epistemic view of vagueness. It obviously invites the question of how it can be knowledge if error is a possibility. A very large margin of error would obviously invalidate it.
11. Knowledge Aims / A. Knowledge / 2. Understanding
Senses grasp external properties, but the understanding grasps the essential natures of things [Aquinas]
     Full Idea: Our imagination and senses grasp only the outer properties of things, not their natures. ...Understanding, however, grasps the very substance and nature of things, so that what is represented in understanding is a likeness of thing's very essence.
     From: Thomas Aquinas (Quodlibeta [1267], 8.2.2)
     A reaction: This is exactly the picture I endorse for modern science. Explanation is the path to understanding, and that must venture beyond immediate experience.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Belief aims at knowledge (rather than truth), and mere believing is a kind of botched knowing [Williamson]
     Full Idea: Knowing is the best kind of believing. Mere believing is a kind of botched knowing. In short, belief aims at knowledge (not just truth).
     From: Timothy Williamson (Knowledge and its Limits [2000], §1.5)
     A reaction: The difference between aiming at truth and aiming at knowledge has to be in the justificiation, so beliefs aim to be justified. Believers always aim at truth, but they can be strikingly relaxed about justification.
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
Don't analyse knowledge; use knowledge to analyse other concepts in epistemology [Williamson, by DeRose]
     Full Idea: Williamson says that instead of being viewed as a concept to be analysed, knowledge should be seen as something useful in the analysis of all sorts of other concepts to epistemology - and to philosophy of mind as well.
     From: report of Timothy Williamson (Knowledge and its Limits [2000]) by Keith DeRose - The Case for Contextualism 1.8
     A reaction: I just don't believe this, because knowledge is obviously a complex state of mind, which invites breaking it down into ingredients. How could knowledge possibly be prior to truth?
Knowledge is prior to believing, just as doing is prior to trying to do [Williamson]
     Full Idea: Knowing corresponds to doing, believing to trying. Just as trying is naturally understood in relation to doing, so believing is naturally understood in relation to knowing.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.4)
     A reaction: An interesting analogy. You might infer that there can be no concept of 'belief' without the concept of 'knowledge', but we could say that it is 'truth' which is indispensible, and leave out knowledge entirely. Belief is to truth as trying is to doing?
We don't acquire evidence and then derive some knowledge, because evidence IS knowledge [Williamson]
     Full Idea: When we acquire new evidence in perception, we do not first acquire unknown evidence and then somehow base knowledge on it later. Rather, acquiring new is evidence IS acquiring new knowledge.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.4)
     A reaction: This makes his point much better than Idea 19526 does.
Belief explains justification, and knowledge explains belief, so knowledge explains justification [Williamson]
     Full Idea: If justification is the fundamental epistemic norm of belief, and a belief ought to constitute knowledge, then justification should be understood in terms of knowledge too.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.5)
     A reaction: If we are looking for the primitive norm which motivates the whole epistemic game, then I am thinking that truth might well play that role better than knowledge. TW would have to reply that it is the 'grasped truth', rather than the 'theoretical truth'.
Knowledge-first says your total evidence IS your knowledge [Williamson]
     Full Idea: Knowledge-first equate one's total evidence with one's total knowledge.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.8)
     A reaction: Couldn't lots of evidence which merely had a high probability be combined together to give a state we would call 'knowledge'? Many dubious witnesses confirm the truth, as long as they are independent, and agree.
A neutral state of experience, between error and knowledge, is not basic; the successful state is basic [Williamson]
     Full Idea: A neutral state covering both perceiving and misperceiving (or remembering and misrembering) is not somehow more basic than perceiving, for what unifies the case of each neutral state is their relation to the successful state.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.5-6)
     A reaction: An alternative is Disjunctivism, which denies the existence of a single neutral state, so that there is nothing to unite the two states, and they don't have a dependence relation. Why can't there be a prior family of appearances, some of them successful?
Internalism about mind is an obsolete view, and knowledge-first epistemology develops externalism [Williamson]
     Full Idea: A postulated underlying layer of narrow mental states is a myth, whose plausibility derives from a comfortingly familiar but obsolescent philosophy of mind. Knowledge-first epistemology is a further step in the development of externalism.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.6)
     A reaction: Williamson is a real bruiser, isn't he? I don't take internalism about mind to be obsolescent at all, but now I feel so inferior for clinging to such an 'obsolescent' belief. ...But then I cling to Aristotle, who is (no doubt) an obsolete philosopher.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
The conclusions of speculative reason about necessities are certain [Aquinas]
     Full Idea: Since the speculative reason is concerned chiefly with necessary things, which cannot be otherwise than they are, its proper conclusions, like the universal principles, contain the truth without fail.
     From: Thomas Aquinas (Summa Theologicae [1265], I-II Q94 4)
     A reaction: This seems over-confident, and to confuse the facts with our knowledge of the facts. Simple arithmetic may seem certain, but long and intricate proofs are always a little uncertain.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
A knowing being possesses a further reality, the 'presence' of the thing known [Aquinas]
     Full Idea: Knowing beings are differentiated from non-knowing beings by this: non-knowing beings have only their own reality, but knowing beings are capable of possessing also the reality of something else, ...a presence of the thing known produced by this thing.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,q.Q14,art 1)
     A reaction: [Quoted by Ryan Meade in a talk at Pigotts] A famous and much discussed remark. Aquinas was a direct realist about perception, so this presence seems to be the thing itself, rather than a 'representation'.
Surely I am acquainted with physical objects, not with appearances? [Williamson]
     Full Idea: When I ask myself what I am acquainted with, the physical objects in front of me are far more natural candidates than their appearances.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.3)
     A reaction: Not very impressive. The word 'acquainted' means the content of the experience, not the phenomena. Do I 'experience' the objects, or the appearances? The answer there is less obvious. If you apply it to colours, it is even less obvious.
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Some things are self-evident to us; others are only self-evident in themselves [Aquinas]
     Full Idea: A thing can be self-evident in either of two ways: on the one hand, self-evident in itself, though not to us; on the other hand, self-evident in itself, and to us.
     From: Thomas Aquinas (Summa Theologicae [1265], Art 1, Obj 3)
     A reaction: A clear distinction, which is hard to deny, though there are lots of borderline cases. Self-evident to genius, and self-evident to future genius. Self-evident to almost everyone. Goldbach's Conjecture may be self-evident but unknowable.
There are 'armchair' truths which are not a priori, because experience was involved [Williamson]
     Full Idea: There is extensive 'armchair knowledge' in which experience plays no strictly evidential role, but it may not fit the stereotype of the a priori, because the contribution of experience was more than enabling, such as armchair truths about our environment.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], 5.5)
     A reaction: Once this point is conceded we have no idea where to draw the line. Does 'if it is red it can't be green' derive from experience? I think it might.
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Initial universal truths are present within us as potential, to be drawn out by reason [Aquinas]
     Full Idea: For present in us by nature are certain initial truths everyone knows, in which lie potentially known conclusions our reasons can draw out and make actually known.
     From: Thomas Aquinas (Quodlibeta [1267], 8.2.2)
     A reaction: Note that these are truths rather than concepts, but that they have to be 'drawn out' by reason. This is Descartes' view of the matter, where the 'natural light' of reason is needed to articulate what is innate, such as geometry.
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
A proposition is self-evident if the predicate is included in the essence of the subject [Aquinas]
     Full Idea: A proposition is self-evident because the predicate is included in the essence of the subject. E.g. Man is an animal, because animal is included in the essence of man.
     From: Thomas Aquinas (Summa Theologicae [1265], Art 1, Obj 3)
     A reaction: Aquinas focuses on the essence of the subject, where Kant embraces the whole concept of the subject. Is it self-evident that we are genetically related to apes? Yes, to a geneticiist. Is that part of human essence? No. So Kant wins.
12. Knowledge Sources / B. Perception / 1. Perception
How can one discriminate yellow from red, but not the colours in between? [Williamson]
     Full Idea: If one takes a spectrum of colours from yellow to red, it might be that given a series of colour samples along that spectrum, each sample is indiscriminable by the naked eye from the next one, though samples at either end are blatantly different.
     From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.151)
     A reaction: This seems like a nice variant of the Sorites paradox (Idea 6008). One could demonstrate it with just three samples, where A and C seemed different from each other, but other comparisons didn't.
12. Knowledge Sources / B. Perception / 3. Representation
Minds take in a likeness of things, which activates an awaiting potential [Aquinas]
     Full Idea: What the mind takes in is not some material element of the agent, but a likeness of the agent actualising some potential the patient already has. This, for example, is the way our seeing takes in the colour of a coloured body.
     From: Thomas Aquinas (Quodlibeta [1267], 8.2.1)
     A reaction: This is exactly right. Descartes agreed. It works for colour, but not (obviously) for cheese graters.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Sensation prepares the way for intellectual knowledge, which needs the virtues of reason [Aquinas]
     Full Idea: Knowledge of truth is not consummated in the sensitive powers of apprehension, for these prepare the way to intellectual knowledge. And therefore in these powers there are none of the virtues by which we know truth; these are in the intellect or reason.
     From: Thomas Aquinas (Summa Theologicae [1265], I-II Q56 a5 obj3), quoted by Linda Trinkaus Zagzebski - Virtues of the Mind III 2.2
     A reaction: A gem of a quotation for Zagzebski's thesis, that knowledge is defined in terms of the intellectual virtues. The only virtues of perception are in focusing and paying attention to features. Good eyesight is a biological 'virtue', I suppose.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Knowledge may be based on senses, but we needn't sense all our knowledge [Aquinas]
     Full Idea: All our knowledge comes through our senses, but that doesn't mean that everything we know is sensed.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.h to 18)
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition is neither powerful nor vacuous, but reveals linguistic or conceptual competence [Williamson]
     Full Idea: Crude rationalists postulate a special knowledge-generating faculty of rational intuition. Crude empiricists regard intuition as an obscurantist term of folk psychology. Linguistic/conceptual philosophy says it reveals linguistic or conceptual competence.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], Intro)
     A reaction: Kripke seems to think that it is the basis of logical competence. I would use it as a blank term for any insight in which we have considerable confidence, and yet are unable to articulate its basis; roughly, for rational thought that evades logic.
When analytic philosophers run out of arguments, they present intuitions as their evidence [Williamson]
     Full Idea: 'Intuition' plays a major role in contemporary analytic philosophy's self-understanding. ...When contemporary analytic philosophers run out of arguments, they appeal to intuitions. ...Thus intuitions are presented as our evidence in philosophy.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], p.214-5), quoted by Herman Cappelen - Philosophy without Intuitions 01.1
     A reaction: Williamson says we must investigate this 'scandal', but Cappelen's book says analytic philosophy does not rely on intuition.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Knowing you know (KK) is usually denied if the knowledge concept is missing, or not considered [Williamson]
     Full Idea: The failure of the KK principle is not news. The standard counterexamples involve knowing subjects who lack the concept of knowledge, or have not reflected on their knowledge, and therefore do not know that they know.
     From: Timothy Williamson (Vagueness [1994], 8.2)
     A reaction: There is also the timid but knowledgeable pupil, who can't believe they know so much. The simplest case would be if we accept that animals know lots of things, but are largely devoid of any metathinking.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
The fullest knowledge places a conclusion within an accurate theory [Aquinas, by Kretzmann/Stump]
     Full Idea: Having 'scientia' is the fullest possible human cognition, by which one situates the fact expressed by a conclusion in an explanatory theory that accurately maps metaphysical or physical reality.
     From: report of Thomas Aquinas (Sententia on 'Posterior Analytics' [1269], 1.2.9, 1.5.7) by Kretzmann/Stump - Aquinas, Thomas 11
     A reaction: That is a perfect statement of my concept of knowledge. Explanatory theories must specify the essential natures of the entities involved. We don't aim for 'knowledge', we aim for the 'fullest possible cognition'. This account extend's Aristotle's.
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Definition of essence makes things understandable [Aquinas]
     Full Idea: It is definition of essence that makes things understandable.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.92)
     A reaction: The aim of philosophy is understanding, which is achieved by successful explanation. I totally agree with this Aristotelian view, so neatly summarised by Aquinas.
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Sensations are transmitted to 'internal senses' in the brain, chiefly to 'phantasia' and 'imagination' [Aquinas, by Kretzmann/Stump]
     Full Idea: Sensory species received in external senses are transmitted to 'internal senses', organs located in the brain. The most important of these for cognition are 'phantasia' and 'imagination' (part of phantasia), which produce and preserve 'phantasms'.
     From: report of Thomas Aquinas (Summa Theologicae [1265]) by Kretzmann/Stump - Aquinas, Thomas 11
     A reaction: This seems to make Aquinas a representative realist. I add this to my portfolio of philosophical faculties - those required by philosophy, rather than by psychology or neuroscience.
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Mental activity combines what we sense with imagination of what is not present [Aquinas]
     Full Idea: Mental activity combines two activities which in the senses are distinct: exterior perception in which we are simply affected by what we sense, and interior imagination in which we create images of things that are not, and never have been present.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.2)
     A reaction: Geach cites this thought to show that he is anti-abstractionist, since mind creates images, and these can arise from things which have not been experienced. Any defence of abstractionism must allow an active power to imagination.
Imagination is important, in evaluating possibility and necessity, via counterfactuals [Williamson]
     Full Idea: Imagination can be made to look cognitively worthless. Once we recall its fallible but vital role in evaluating counterfactual conditionals, we should be more open to the idea that it plays such a role in evaluating claims of possibility and necessity.
     From: Timothy Williamson (Modal Logic within Counterfactual Logic [2010], 6)
     A reaction: I take this to be a really important idea, because it establishes the importance of imagination within the formal framework of modern analytic philosopher (rather than in the whimsy of poets and dreamers).
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstracting A from B generates truth, as long as the connection is not denied [Aquinas]
     Full Idea: Abstacting A from B can mean denying A's connection with B, or simply thinking A without thinking B. Abstracting what in reality is connected generates falsehood if done the first way, but not if done the second.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1)
     A reaction: Despite Geach's denials, this seems to make Aquinas a classic abstractionist. He goes on to distinguish two sorts of abstraction, but he certainly thinks of abstraction from sense experience as a revelation about the nature of reality.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
We understand the general nature of things by ignoring individual peculiarities [Aquinas]
     Full Idea: If we think what defines a stone, man or horse, without thinking of any individual peculiarities it may have, this is precisely what we do when we abstract the general nature of what we understand from any particular way in which we imagine it.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1)
     A reaction: This may not be simple abstraction from sense experience, since there would obviously be a threatened circularity in the process. Do you need to know the essential definition first, in order to discard the individual peculiarities?
The mind abstracts generalities from images, but also uses images for understanding [Aquinas]
     Full Idea: Our mind both abstracts the species from images when it attends to the general nature of things, and understand the species in the images when it has recourse to the images in order to understand the things whose species it has abstracted.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1)
     A reaction: Geach claims that the second half of this idea means that Aquinas is not an abstractionist, but he seems to be explictly abstractionist about the way in which we create higher level concepts from lower ones.
Very general ideas (being, oneness, potentiality) can be abstracted from thought matter in general [Aquinas]
     Full Idea: There are even things we can abstract from thought matter in general, things like being and oneness and potentiality and realization.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1)
     A reaction: The Aristotelian 'potentiality' means possibility, which means that modality is understood by abstraction. Aquinas seems to have four levels: particular perceived, general perceived, particular thought, and general thought. This is the highest level.
Particular instances come first, and (pace Plato) generalisations are abstracted from them [Aquinas]
     Full Idea: The generality attaching to a nature - its relatedness to many particular instances - results from abstraction, so in this sense a generalized nature presupposes its instances, and does not, as Plato thought, precede them.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.2)
     A reaction: This seems to be a quite explicit endorsement of abstractionism by Aquinas, despite all Geach's assertions to the contrary.
Species are abstracted from appearances by ignoring individual conditions [Aquinas]
     Full Idea: The agent intellect abstracts intelligible species from phantasms insofar as through the power of the agent intellect we can take into our consideration the natures of the species without the individual conditions.
     From: Thomas Aquinas (Summa Theologicae [1265], Q85 Ad4)
     A reaction: There might be a threatened circularity here, in trying to decide which features to ignore and which to retain. If we saw a hundred horses with a white nose blaze, we still wouldn't be sure that this was essential to a horse. Innate notions of species??
16. Persons / F. Free Will / 1. Nature of Free Will
Aquinas attributes freedom to decisions and judgements, and not to the will alone [Aquinas, by Kretzmann/Stump]
     Full Idea: Aquinas conceives of freedom as free decision or judgement, which cannot be attributed to the will alone.
     From: report of Thomas Aquinas (Summa Theologicae [1265]) by Kretzmann/Stump - Aquinas, Thomas 12
     A reaction: This idea might improve the free will debate considerably, because it is not clear what sort of thing a 'will' is, and it is not clear how an entity can be 'free' in isolation, by its intrinsic nature. Isn't all freedom contextual?
16. Persons / F. Free Will / 3. Constraints on the will
If we saw something as totally and utterly good, we would be compelled to will it [Aquinas]
     Full Idea: Something apprehended to be good and appropriate in any and every circumstance that could be thought of would compel us to will it.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.reply)
16. Persons / F. Free Will / 4. For Free Will
Because the will moves by examining alternatives, it doesn't compel itself to will [Aquinas]
     Full Idea: Because will moves itself by deliberation - a kind of investigation which doesn't prove some one way correct but examines the alternatives - will doesn't compel itself to will.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.reply)
The will is not compelled to move, even if pleasant things are set before it [Aquinas]
     Full Idea: The will is not compelled to move, for it doesn't have to want the pleasant things set before it.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.h to 21)
Nothing can be willed except what is good, but good is very varied, and so choices are unpredictable [Aquinas]
     Full Idea: Nothing can be willed except good, but many and various things are good, and you can't conclude from this that wills are compelled to choose this or that one.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.h to 05)
Since will is a reasoning power, it can entertain opposites, so it is not compelled to embrace one of them [Aquinas]
     Full Idea: Reasoning powers can entertain opposite objects. Now will is a reasoning power, so will can entertain opposites and is not compelled to embrace one of them.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.x2)
However habituated you are, given time to ponder you can go against a habit [Aquinas]
     Full Idea: However habituated you are, given time to ponder you can go against a habit.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.h to 24)
16. Persons / F. Free Will / 5. Against Free Will
We must admit that when the will is not willing something, the first movement to will must come from outside the will [Aquinas]
     Full Idea: We are forced to admit that, in any will that is not always willing, the very first movement to will must come from outside, stimulating the will to start willing.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.reply)
     A reaction: cf Nietzsche
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
The human intellectual soul is an incorporeal, subsistent principle [Aquinas]
     Full Idea: It is necessary to say that that which is the principle of intellective activity, what we call the soul of a human being, is an incorporeal, subsistent principle.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia.Q75 2c), quoted by Kretzmann/Stump - Aquinas, Thomas 10
     A reaction: Note 'subsistent' rather than 'existent' (capable of independence?). This identifies the immortal soul with the conscious mind. 'Principle' is an odd word, presumably with roots in Aristotle. It seems to be an Aristotelian 'form' [morphe].
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
Without God's influence every operation would stop, so God causes everything [Aquinas]
     Full Idea: If God's divine influence stopped, every operation would stop. Every operation, therefore, of everything is traced back to him as cause.
     From: Thomas Aquinas (Summa Contra Gentiles [1268], III.67), quoted by Brian Davies - Introduction to the Philosophy of Religion 3 'Freedom'
     A reaction: If the systematic interraction of mind and body counts as an 'operation', then this seems to imply Occasionalism.
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
To know, believe, hope or fear, one must grasp the thought, but not when you fail to do them [Williamson]
     Full Idea: To know, believe, hope, or fear that A, one must grasp the thought that A. In contrast, to fail to know, believe, hope or fear that A, one need not grasp the thought that A.
     From: Timothy Williamson (Vagueness [1994], 9.3 c)
     A reaction: A simple point, which at least shows that propositional attitudes are a two-stage operation.
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
First grasp what it is, then its essential features; judgement is their compounding and division [Aquinas]
     Full Idea: The intellect first apprehends the quiddity of a thing. ...Then it acquires the properties, accidents and dispositions associated with the thing's essence. It must proceed from one compounding or dividing of aspects to another, which is reasoning.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia.Q85 5c), quoted by Kretzmann/Stump - Aquinas, Thomas 11
     A reaction: [compressed] Tracking the process of acquiring knowledge of a thing (rather than necessary and sufficient conditions for full knowledge) is closer to Quine's naturalised epistemology than to the standard analytic approach to the concept of knowledge.
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
'Blue' is not a family resemblance, because all the blues resemble in some respect [Williamson]
     Full Idea: 'Blue' is vague by some standards, for it has borderline cases, but that does not make it a family resemblance term, for all the shades of blue resemble each other in some respect.
     From: Timothy Williamson (Vagueness [1994], 3.3)
     A reaction: Presumably the point of family resemblance is that fringe members as still linked to the family, despite having lost the main features. A bit of essentialism seems needed here.
18. Thought / E. Abstraction / 1. Abstract Thought
We abstract forms from appearances, and acquire knowledge of immaterial things [Aquinas]
     Full Idea: To cognize that which is in individual matter, not as it is in such matter, is to abstract the form from the individual matter that the phantasms represents. Thus we come to a degree of cognition of immaterial things.
     From: Thomas Aquinas (Summa Theologicae [1265], Q85 1 Reply)
     A reaction: This offers abstraction as a kind of inference to best explanation which takes us beyond immediate empirical experience to what is behind it. Aquinas thinks the concepts and explanation are spiritual, but they may be generalities and essences.
Understanding consists entirely of grasping abstracted species [Aquinas]
     Full Idea: Of the thing understood all that is within the actually understanding intellect is the abstracted intelligible species.
     From: Thomas Aquinas (Summa Theologicae [1265], Q85 Art2)
     A reaction: Abstraction is never supposed to be a luxury bolt-on, but is always seen (in this tradition, and presumably in the modern one), as essential to the intellect, and its way of coming to understand the world. Aristotelian definition is behind this idea.
18. Thought / E. Abstraction / 2. Abstracta by Selection
Mathematics can be abstracted from sensible matter, and from individual intelligible matter [Aquinas]
     Full Idea: Intellect can abstract mathematical species from sensible matter, both individual and common. Yet it cannot abstract such species from common intelligible matter, but only from individual intelligible matter.
     From: Thomas Aquinas (Summa Theologicae [1265], Q85 Ad2)
     A reaction: The idea is that common intelligible matter lacks underlying substance, which is where quantity is to be found.
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Mathematical objects abstract both from perceived matter, and from particular substance [Aquinas]
     Full Idea: Objects of mathematics abstract from perceived matter both in particular and in general, though from thought matter (substance as underlying quality) only in particular and not in general.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1)
     A reaction: This appears to be a thoroughly abstractionist view of the way in which humans create mathematics. Aquinas explicitly denies the Platonic view that the numbers already have abstract existence, awaiting our discovery.
We can just think of an apple's colour, because the apple is not part of the colour's nature [Aquinas]
     Full Idea: The apple is not part of the nature of the colour, and so nothing prevents one from understanding the colour while understanding nothing of the apple.
     From: Thomas Aquinas (Summa Theologicae [1265], Q85 1 Ad 1)
     A reaction: This helps to clarify why the procedure of 'ignoring' features is possible. It suggests that some features might be too entangled with the substance (too essential?) to be thus ignored. I can't think of an example, though. Why not?!
Abstracting either treats something as separate, or thinks of it separately [Aquinas]
     Full Idea: Abstracting takes place in two ways: by composition and division, understanding something to be not in another or to be separated from it; and by a simple and unconditioned consideration, understanding one thing while not considering the other at all.
     From: Thomas Aquinas (Summa Theologicae [1265], Q85 1 Ad 1)
     A reaction: The second way is by 'ignoring', which he says cannot contain error. The first seems to be considering some mode of a thing to be actually separate from the thing, which could clearly be erroneous. Ignoring makes to commitment to a unity.
Numbers and shapes are abstracted by ignoring their sensible qualities [Aquinas]
     Full Idea: Quantities such as numbers and dimensions, and also shapes (which are the limits of quantities) can be considered without their sensible qualities, which is for them to be abstracted from sensible matter.
     From: Thomas Aquinas (Summa Theologicae [1265], Q85 Ad2)
     A reaction: His account relies on underlying substance, which is where quantity is to be found (presumably because a substance is the epitome of a unit).
18. Thought / E. Abstraction / 8. Abstractionism Critique
The mind must produce by its own power an image of the individual species [Aquinas]
     Full Idea: The agent mind must itself turn to images, and produce by its own power in the receptive mind a representation as to species of whatever the images represent as individual.
     From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1)
     A reaction: Unlike much of this section, this sentence supports Geach's claim that Aquinas agrees with him - that the mind creates its concepts, rather than 'abstracting' them from experience.
19. Language / A. Nature of Meaning / 6. Meaning as Use
You might know that the word 'gob' meant 'mouth', but not be competent to use it [Williamson]
     Full Idea: Someone who acquires the word 'gob' just by being reliably told that it is synonymous with 'mouth' knows what 'gob' means without being fully competent to use it.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], 4.7)
     A reaction: Not exactly an argument against meaning-as-use, but a very nice cautionary example to show that 'knowing the meaning' of a word may be a rather limited, and dangerous, achievement.
19. Language / B. Reference / 1. Reference theories
References to the 'greatest prime number' have no reference, but are meaningful [Williamson]
     Full Idea: The predicate 'is a prime number greater than all other prime numbers' is necessarily not true of anything, but it is not semantically defective, for it occurs in sentences that constitute a sound proof that there is no such number.
     From: Timothy Williamson (Vagueness [1994], 6.2)
     A reaction: One might reply that the description can be legitimately mentioned, but not legitimately used.
19. Language / C. Assigning Meanings / 2. Semantics
The 't' and 'f' of formal semantics has no philosophical interest, and may not refer to true and false [Williamson]
     Full Idea: In a formal semantics we can label two properties 't' and 'f' and suppose that some sentences have neither (or both). Such a manoeuvre shows nothing of philosophical interest. No connection has been made between 't' and 'f' and truth and falsity.
     From: Timothy Williamson (Vagueness [1994], 7.2)
     A reaction: This is right, and means there is a huge gulf between 'formal' semantics (which could be implemented on a computer), and seriously interesting semantics about how language refers to and describes the world.
How does inferentialism distinguish the patterns of inference that are essential to meaning? [Williamson]
     Full Idea: Inferentialism faces the grave problem of separating patterns of inference that are to count as essential to the meaning of an expression from those that will count as accidental (a form of the analytic/synthetic distinction).
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.6)
     A reaction: This sounds like a rather persuasive objection to inferentialism, though I don't personally take that as a huge objection to all internalist semantics.
Internalist inferentialism has trouble explaining how meaning and reference relate [Williamson]
     Full Idea: The internalist version of inferentialist semantics has particular difficulty in establishing an adequate relation between meaning and reference.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.6)
     A reaction: I would have thought that this was a big problem for referentialist semantics too, though evidently Williamson doesn't think so. If he is saying that the meaning is in the external world, dream on.
Inferentialist semantics relies on internal inference relations, not on external references [Williamson]
     Full Idea: On internalist inferential (or conceptual role) semantics, the inferential relations of an expression do not depend on what, if anything, it refers to, ...rather, the meaning is something like its place in a web of inferential relations.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.6)
     A reaction: Williamson says the competition is between externalist truth-conditional referential semantics (which he favours), and this internalist inferential semantics. He is, like, an expert, of course, but I doubt whether that is the only internalist option.
19. Language / C. Assigning Meanings / 3. Predicates
The mind constructs complete attributions, based on the unified elements of the real world [Aquinas]
     Full Idea: Attribution is something mind brings to completion by constructing propositional connections and disconnections, basing itself on real-world unity possessed by the things being attributed to one another.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.102)
     A reaction: This compromise story seems to me to be exactly right. I take it that we respond to the real joints of nature, but using thought and language which is riddled with convention.
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Truth-conditional referential semantics is externalist, referring to worldly items [Williamson]
     Full Idea: Truth-conditional referential semantics is an externalist programme. In a context of utterance the atomic expressions of a language refer to worldly items, from which the truth-conditions of sentences are compositionally determined.
     From: Timothy Williamson (Knowledge First (and reply) [2014], p.6)
     A reaction: I just don't see how a physical object can be part of the contents of a sentence. 'Dragons fly' is atomic, and meaningful, but its reference fails. 'The cat is asleep' is just words - it doesn't contain a live animal.
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
It is known that there is a cognitive loss in identifying propositions with possible worlds [Williamson]
     Full Idea: It is well known that when a proposition is identified with the set of possible worlds at which it is true, a region in the space of possible worlds, cognitively significant distinctions are lost.
     From: Timothy Williamson (Vagueness [1994], 7.6)
     A reaction: Alas, he doesn't specify which distinctions get lost, so this is just a pointer. It would seem likely that two propositions could have identical sets of possible worlds, while not actually saying the same thing. Equilateral/equiangular.
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
     Full Idea: A proposition about an item exists only if that item exists... how could something be the proposition that that dog is barking in circumstances in which that dog does not exist?
     From: Timothy Williamson (Necessary Existents [2002], p.240), quoted by Trenton Merricks - Propositions
     A reaction: This is a view of propositions I can't make sense of. If I'm under an illusion that there is a dog barking nearby, when there isn't one, can I not say 'that dog is barking'? If I haven't expressed a proposition, what have I done?
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
We don't have to will even perfect good, because we can choose not to think of it [Aquinas]
     Full Idea: The will can avoid actually willing something by avoiding thinking of it, since mental activity is subject to will. In this respect we aren't compelled to will even total happiness, which is the only perfect good.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.h to 07)
The will is the rational appetite [Aquinas]
     Full Idea: The will is the rational appetite.
     From: Thomas Aquinas (Summa Theologicae [1265], II-II Q58 4)
     A reaction: Defining the will in terms of reason sounds more like an Enlightenment optimist than a medieval theologian. I suspect that for him it is tautological the reason is involved, if only the reason can make decisions. Hobbes prefers to ruling appetite.
The will must aim at happiness, but can choose the means [Aquinas]
     Full Idea: The will is compelled by its ultimate goal (to achieve happiness), but not by the means to achieve it.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.07)
The will can only want what it thinks is good [Aquinas]
     Full Idea: Will's object is what is good, and so it cannot will anything but what is good.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.06)
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Without free will not only is ethical action meaningless, but also planning, commanding, praising and blaming [Aquinas]
     Full Idea: If we are not free to will in any way, but are compelled, everything that makes up ethics vanishes: pondering action, exhorting, commanding, punishing, praising, condemning.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.reply)
     A reaction: If doesn't require some magical 'free will' to avoid compulsions. All that is needed is freedom to enact your own willing, rather than someone else's.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
For humans good is accordance with reason, and bad is contrary to reason [Aquinas]
     Full Idea: A human being's good is existing in accordance with reason, while what is bad for a human being is whatever is contrary to reason.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia IIae.Q18.5c), quoted by Kretzmann/Stump - Aquinas, Thomas 13
     A reaction: For anyone who thought Kant invented the idea that morality derives from reason. This idea of Aquinas is a fairly precise echo of the stoic view (which influenced Kant). Is there a circularity? Is it irrational because bad, or bad because irrational?
22. Metaethics / B. Value / 1. Nature of Value / e. Means and ends
We must know the end, know that it is the end, and know how to attain it [Aquinas]
     Full Idea: Perfect knowledge of the end consists in not only apprehending the thing which is the end but also knowing it under the aspect of the end and the relation of the means to that end.
     From: Thomas Aquinas (Summa Theologicae [1265], II-I.Q132), quoted by Philippa Foot - Natural Goodness 4
     A reaction: We don't talk much now about 'perfect' knowledge of something, but I suppose this is the necessary and sufficient conditions. If you complete the checklist, your knowledge should be perfect (if the list is right).
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Good applies to goals, just as truth applies to ideas in the mind [Aquinas]
     Full Idea: Good applies to all goals, just as truth applies to all forms mind takes in.
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.reply)
     A reaction: In danger of being tautological, if good is understood as no more than the goal of actions. It seems perfectly possibly to pursue a wicked end, and perhaps feel guilty about it.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
All acts of virtue relate to justice, which is directed towards the common good [Aquinas]
     Full Idea: The good of any virtue …is referable to the common good, to which justice directs, so that all acts of virtue can pertain to justice insofar as it directs man to the common good.
     From: Thomas Aquinas (Summa Theologicae [1265], II-II Q58 5)
     A reaction: Michael Sandel has recently lamented to fading of the concept of 'the common good' from our moral and political life. In which case this thought of Aquinas takes on great importance. I certainly like it. It seems to apply to courage, for example.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Aquinas wanted, not to escape desire, but to transform it for moral ends [Aquinas, by MacIntyre]
     Full Idea: The Aristotelianism of Thomas Aquinas (unlike St Augustine's Platonism) is not concerned with escaping from the snares of the world and of desire, but with transforming desire for moral ends.
     From: report of Thomas Aquinas (Summa Theologicae [1265]) by Alasdair MacIntyre - A Short History of Ethics Ch.9
     A reaction: This is very close to Aristotle himself, for whom education of the feelings (into good habits, and then true virtues) was central. Education of feelings should be central to all education (though young psychopaths may show resistance).
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues
Legal justice is supreme, because it directs the other virtues to the common good [Aquinas]
     Full Idea: There must be one supreme virtue essentially distinct from every other virtue, which directs all the virtues to the common good, and this virtue is legal justice.
     From: Thomas Aquinas (Summa Theologicae [1265], II-II Q58 6)
     A reaction: This concept of legal justice is underpinned, for Aquinas, by the concept of natural law, which has divine backing. Positive law could hardly fulfil such a major role, given that it could be corrupt.
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Temperance prevents our passions from acting against reason [Aquinas]
     Full Idea: The passions may incite us to something against reason, and so we need a curb, which we name 'temperance'.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia 2ae Q61 a.3), quoted by Philippa Foot - Virtues and Vices II
     A reaction: I am increasingly unclear what 'reason' means in contexts like these. It seems to mean no more than the awareness of greater goods than the indulgence of passion. Without that awareness, high intelligence couldn't produce temperance.
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Justice directs our relations with others, because it denotes a kind of equality [Aquinas]
     Full Idea: It is proper to justice, as compared with the other virtues, to direct man in his relations with others, because it denotes a kind of equality, as its very name implies; indeed we are wont to say that things are 'adjusted' when they are made equal.
     From: Thomas Aquinas (Summa Theologicae [1265], II-II Q57 1)
     A reaction: Even if you say justice is giving people what they deserve, rather than mere equality, they must still be equal in receiving like for like. Legal justice implies equality before the law (except for monarchs?).
24. Political Theory / B. Nature of a State / 5. Culture
If languages are intertranslatable, and cognition is innate, then cultures are all similar [Williamson]
     Full Idea: Given empirical evidence for the approximate intertranslatability of all human languages, and a universal innate basis of human cognition, we may wonder how 'other' any human culture really is.
     From: Timothy Williamson (The Philosophy of Philosophy [2007], 8.1)
     A reaction: This seems to be a fairly accurate account of the situation. In recent centuries people seem to have been over-impressed by superficial differences in cultural behaviour, but we increasingly see the underlying identity.
25. Social Practice / D. Justice / 1. Basis of justice
People differ in their social degrees, and a particular type of right applies to each [Aquinas]
     Full Idea: There are many differences of degrees among men, for instance, some are soldiers, some are priests, some are princes. Therefore some special kind of right should be alloted to them.
     From: Thomas Aquinas (Summa Theologicae [1265], II-II Q57 4)
     A reaction: An objection (3), but Aquinas endorses it in his reply. In 58.10 he says striking a prince is worse that striking a commoner. The shift to the idea that everyone is supposed to be equal before the law has been slow, and we are not quite there yet.
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Tyrannical laws are irrational, and so not really laws [Aquinas]
     Full Idea: A tyrannical law, since it is not in accord with reason, is not unconditionally a law, but is rather a perversion of law.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia IIae.Q92.1, ad 4), quoted by Kretzmann/Stump - Aquinas, Thomas 13
     A reaction: Only a belief in natural law can give a basis for such a claim. Positivists will say a tyrannical law is unconditionally a law like any other, but a bad one.
Natural law is a rational creature's participation in eternal law [Aquinas]
     Full Idea: It is evident that the natural law is nothing else than the rational creature's participation of the eternal law.
     From: Thomas Aquinas (Summa Theologicae [1265], I-II Q91 2)
     A reaction: It is not enough merely that God decrees eternal laws. It is also necessary for us to use reason in order to participate. I'm not sure what reasoning process is involved.
Right and wrong actions pertain to natural law, as perceived by practical reason [Aquinas]
     Full Idea: All things to be done or to be avoided pertain to the precepts of natural law, which practical reasoning apprehends naturally as being human goods.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia IIae.Q94.2c), quoted by Kretzmann/Stump - Aquinas, Thomas 13
     A reaction: No mention of God, but you feel the divine presence in the background. He also cites 'eternal law'. No coincidence that the atheist Hobbes rejected natural law. Personally I would offer an atheistic defence of natural law, based on human nature.
25. Social Practice / E. Policies / 1. War / a. Just wars
For Aquinas a war must be in a just cause, have proper authority, and aim at good [Aquinas, by Grayling]
     Full Idea: Aquinas argued that on three conditions war can be justified: first, that there is a just cause; second, that it is begun on proper authority; and third, that it is waged with right intention, for 'the advancement of good, or the avoidance of evil'.
     From: report of Thomas Aquinas (Summa Theologicae [1265], II) by A.C. Grayling - Among the Dead Cities Ch.6
     A reaction: But see also Idea 7292. Nowadays we are rightly suspicious of all three conditions. Evil people seem to think their cause is just; authority has often been seized by violence, or is being abused; and people seem confused about what is good or evil.
25. Social Practice / F. Life Issues / 3. Abortion
Aquinas says a fertilized egg is not human, and has no immortal soul [Aquinas, by Martin/Barresi]
     Full Idea: In Aquinas's view the fertilized egg is not, either at the moment of conception or for quite a while afterwards, endowed with an immortal soul. In fact, technically speaking, it is not even human.
     From: report of Thomas Aquinas (Summa Theologicae [1265]) by R Martin / J Barresi - Introduction to 'Personal Identity' p.20
     A reaction: It is pointed at that therefore Aquinas does not give good support for modern Catholic views on abortion. There is certainly no reason why a human zygote should be ensouled from the start, as God may do this whenever He wishes.
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Bodies are three-dimensional substances [Aquinas]
     Full Idea: Bodies are those substances in which one finds three dimensions.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia Q18.2c), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 16.2
     A reaction: Pasnau points out that this extensional view of physical bodies was a commonplace long before Descartes. Presumably there are also non-dimensional substances (such as angels?).
26. Natural Theory / C. Causation / 5. Direction of causation
A cause can exist without its effect, but the effect cannot exist without its cause [Aquinas]
     Full Idea: When things are so related that one causes the other to exist, the cause can exist without what it causes but not vice versa.
     From: Thomas Aquinas (De Ente et Essentia (Being and Essence) [1267], p.103)
     A reaction: This is open to question, if causes are supposed to be sufficient for effects. Presumably Aquinas would support the view that if the cause had not been, the effect would not have happened. But the current idea indicates the priority relation.
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Even a sufficient cause doesn't compel its effect, because interference could interrupt the process [Aquinas]
     Full Idea: Even a sufficient cause doesn't always compel its effect, since it can sometimes be interfered with so that its effect doesn't happen
     From: Thomas Aquinas (Quaestiones Disputatae de Malo [1271], Q6.h to 15)
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
Eternity coexists with passing time, as the centre of a circle coexists with its circumference [Aquinas]
     Full Idea: The centre of a circle is directly opposite any designated point on the circumference. In this way, whatever is in any part of time coexists with what is eternal as being present to it even though past or future with respect to another part of time.
     From: Thomas Aquinas (Summa Contra Gentiles [1268], I.66), quoted by Robin Le Poidevin - Past, Present and Future of Debate about Tense 2 c
     A reaction: A nice example of a really cool analogy which almost gets you to accept something which is actually completely incomprehensible.
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
Divine law commands some things because they are good, while others are good because commanded [Aquinas]
     Full Idea: The divine law commands certain things because they are good and forbids others because they are evil, while others are good because they are prescribed, and others evil because they are forbidden.
     From: Thomas Aquinas (Summa Theologicae [1265], II-II Q57 2)
     A reaction: This is a fifty-fifty response to the Euthyphro dilemma, but it seems to leave the theological puzzle of the source of the goodness which is prescribed because it is in fact good.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
We can't know God's essence, so his existence can't be self-evident for us [Aquinas]
     Full Idea: Because we do not know the essence of God, the proposition 'God exists' is not self-evident to us, but needs to be demonstrated by things that are more known to us.
     From: Thomas Aquinas (Summa Theologicae [1265], Art 1, Obj 3)
     A reaction: Depends on his definition of self-evidence (Idea 21250), which needs knowledge of the essence of the subject. Anselm required 'understanding' of the concept. One might understand the existence criteria without knowing the whole essence. Anselm wins.
A thing can't be the only necessary existent, because its singleton set would be as well [Williamson]
     Full Idea: That there is just one necessary existent is surely false, for if x is a necessary, {x} is a distinct necessary existent.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §1)
     A reaction: You would have to believe that sets actually 'exist' to accept this, but it is a very neat point.
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
If you assume that there must be a necessary being, you can't say which being has this quality [Kant on Aquinas]
     Full Idea: To those who assume the existence of a necessary being, and would only know which among all things had to be regarded as such a thing, one could not answer: This thing here is the necessary being
     From: comment on Thomas Aquinas (Summa Theologicae [1265]) by Immanuel Kant - Critique of Pure Reason A612/B640
     A reaction: See Aquinas in Idea 1431. Kant makes a nice point. You might turn out to be the necessary being? How could you tell? You only know that there must be one lurking somewhere. I could be a slug. Aquinas makes a huge leap to God.
Way 1: the infinite chain of potential-to-actual movement has to have a first mover [Aquinas]
     Full Idea: A thing can only be reduced from potentiality to actuality by something actual. A thing can never be in actuality and potentiality in the same respect. So what is moved must be moved by another. But this cannot go on to infinity, with no first mover.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Reply)
     A reaction: [compressed] This relies on the Aristotelian ideas of potentiality and actuality. We might talk about things moving, but lacking the 'power' to move. This is almost identical to Plato in 'The Laws' (which I guess Aquinas knew nothing of).
Way 3: contingent beings eventually vanish, so continuity needs a necessary being [Aquinas]
     Full Idea: That which can not-be at some time is not. So if everything can not-be, then once there was nothing in existence. If so, it would have been impossible for anything to have begun to exist. So there must be some being having of itself its own necessity.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Reply)
     A reaction: [compressed] Why can't things take it in turns to not-be, so that something is always on duty? Maybe it is a feature of things that they bring other things into existence (e.g. virtual particles)?
Way 2: no effect without a cause, and this cannot go back to infinity, so there is First Cause [Aquinas]
     Full Idea: If there is no first cause among efficient causes, there is no ultimate or intermediate cause. That in efficient causes it is possible to go on to infinity is plainly false. So it is necessary to admit a first efficient cause, which everyone calls God.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Reply)
     A reaction: [compressed] It doesn't seem to follow at all that the First Cause is God. There could be a single thing like the Phoenix, with unique self-causing properties. Or a quantum fluctuation.
Way 4: the source of all qualities is their maximum, so something (God) causes all perfections [Aquinas]
     Full Idea: More and less are predicated of different things according as they resemble in their different ways something which is the maximum. The maximum of a genus is the cause of all in that genus. So there must be something causing the perfections of all beings.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Reply)
     A reaction: [compressed] The argument makes a startling jump from each quality (like heat or nobility) having a maximum, to their being a single entity (a 'being' at that) which is the sole source of all human perfections.
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
Way 5: mindless things act towards an obvious end, so there is an intelligent director [Aquinas]
     Full Idea: Things which lack knowledge, such as natural bodies, act for an end, which is usually in the same way, to obtain the best result. Hence they achieve their end designedly. Hence some intelligent being exists by whom all natural things are directed.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Reply)
     A reaction: [compressed] This is Greek teleology with a vengeance. Plants probably illustrate best what he has in mind. There is obvious teleology in human affairs, and there is a sort of teleology in living things, but we take the end to be reinforced by success.
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Life aims at the Beatific Vision - of perfect happiness, and revealed truth [Aquinas, by Zagzebski]
     Full Idea: Aquinas describes the ultimate end of human life as the Beatific Vision, a state that is simultaneously the enjoyment of perfect happiness and a perfect revelation of truth.
     From: report of Thomas Aquinas (Summa Theologicae [1265]) by Linda Trinkaus Zagzebski - Virtues of the Mind II 4.2
     A reaction: I like that a lot, even though my idea of the revelation of truth is very distant from that of Aquinas. Ignorant happiness is not much of an aspiration.
29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels
Aquinas saw angels as separated forms, rather than as made of 'spiritual matter' [Aquinas, by Kretzmann/Stump]
     Full Idea: Unlike some of his contemporaries, Aquinas does not think that there is a 'spiritual matter' that angels or disembodied souls have as one of their components, but rather that they are separated forms that configure no matter at all.
     From: report of Thomas Aquinas (Summa Theologicae [1265]) by Kretzmann/Stump - Aquinas, Thomas 10
     A reaction: 'Separated forms' sounds like the modern concept of abstract entities, meaning that souls and angels exist in the way that platonists believe numbers exist. How else might Aquinas have understood them?
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Heretics should be eradicated like wolves [Aquinas]
     Full Idea: Heretics are wolves …and therefore ought to be eradicated.
     From: Thomas Aquinas (Sentences [1264], IV.13.2.3sc), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Humans have a non-physical faculty of reason, so they can be immortal [Aquinas, by Sorabji]
     Full Idea: Aquinas infers from Aristotle that intellectual understanding is the only operation of the soul that is performed without a physical organ, so that only human souls, and not animal ones, can be immortal.
     From: report of Thomas Aquinas (Summa Theologicae [1265], I, q75, a3, resp) by Richard Sorabji - Rationality 'Reason'
     A reaction: This shows why so many thinkers are desperate to hang on to dualism, of some sort. Interesting that he only claims partial dualism.
If the soul achieves well-being in another life, it doesn't follow that I do [Aquinas]
     Full Idea: Even if soul achieves well-being in another life, that doesn't mean I do or any other human being does.
     From: Thomas Aquinas (Super Epistolam Pauli Apostoli [1272])
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
Those in bliss have their happiness increased by seeing the damned punished [Aquinas]
     Full Idea: In order that the bliss of the saints may be more delightful for them, and they may render more copious thanks to God for it, it is given to them to see perfectly the punishment of the damned.
     From: Thomas Aquinas (Summa Theologicae [1265], III Supp Q94,1), quoted by Friedrich Nietzsche - On the Genealogy of Morals I.§15
     A reaction: This has probably been repudiated by the Church of England. Justice should be seen to be done. Presumably you mustn't gloat, or you join them.
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
God does not exist, because He is infinite and good, and so no evil should be discoverable [Aquinas]
     Full Idea: If one of two contraries be infinite, the other would be altogether destroyed. But the name God means that He is infinite goodness. If therefore God existed there would be no evil discoverable; but there is evil in the world. Therefore God does not exist.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Ob1)
     A reaction: This is not, of course, the opinion of Aquinas. I love the way he states the opposition's arguments so lucidly. The modern problem usually talks of God's omnipotence, rather than infinity. His formulation allows that there might be undiscoverable evil.
It is part of God's supreme goodness that He brings good even out of evil [Aquinas]
     Full Idea: As Augustine says, God would not allow any evil to exist in his works, unless he were to bring good even out of evil. It is part of the infinite goodness of God, that He allows evil to exist and out of it produces good.
     From: Thomas Aquinas (Summa Theologicae [1265], Ia,Q02,Art3,Ob1rep)
     A reaction: Are God's powers so limited that He could not have achieved an equal amount of good without having to indulge in some evil first?