Combining Philosophers

All the ideas for Shaughan Lavine, Thomas Aquinas and Mohammed

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165 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 / 7. Despair over Philosophy
Instead of prayer and charity, sinners pursue vain disputes and want their own personal scripture [Mohammed]
     Full Idea: The sinners will say 'we never prayed or fed the hungry. We engaged in vain disputes and denied the Day of Reckoning'. Indeed, each one of them demands a scripture of his own to be unrolled before him.
     From: Mohammed (The Koran [c.622], Ch.74)
     A reaction: The implication seems to be that most disputes are 'vain'. The charge that everyone wants a 'scripture of his own' is a nice challenge to the world of liberal education, where we are all enjoined to pursue our personalised routes to our own truth.
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
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.
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.
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 / 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 / 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.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Second-order set theory just adds a version of Replacement that quantifies over functions [Lavine]
     Full Idea: Second-order set theory is just like first-order set-theory, except that we use the version of Replacement with a universal second-order quantifier over functions from set to sets.
     From: Shaughan Lavine (Understanding the Infinite [1994], VII.4)
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
An 'upper bound' is the greatest member of a subset; there may be several of these, so there is a 'least' one [Lavine]
     Full Idea: A member m of M is an 'upper bound' of a subset N of M if m is not less than any member of N. A member m of M is a 'least upper bound' of N if m is an upper bound of N such that if l is any other upper bound of N, then m is less than l.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.4)
     A reaction: [if you don't follow that, you'll have to keep rereading it till you do]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set
Collections of things can't be too big, but collections by a rule seem unlimited in size [Lavine]
     Full Idea: Since combinatorial collections are enumerated, some multiplicities may be too large to be gathered into combinatorial collections. But the size of a multiplicity seems quite irrelevant to whether it forms a logical connection.
     From: Shaughan Lavine (Understanding the Infinite [1994], IV.2)
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
Those who reject infinite collections also want to reject the Axiom of Choice [Lavine]
     Full Idea: Many of those who are skeptical about the existence of infinite combinatorial collections would want to doubt or deny the Axiom of Choice.
     From: Shaughan Lavine (Understanding the Infinite [1994], VI.2)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
The Power Set is just the collection of functions from one collection to another [Lavine]
     Full Idea: The Power Set is just he codification of the fact that the collection of functions from a mathematical collection to a mathematical collection is itself a mathematical collection that can serve as a domain of mathematical study.
     From: Shaughan Lavine (Understanding the Infinite [1994], VI.1)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement was immediately accepted, despite having very few implications [Lavine]
     Full Idea: The Axiom of Replacement (of Skolem and Fraenkel) was remarkable for its universal acceptance, though it seemed to have no consequences except for the properties of the higher reaches of the Cantorian infinite.
     From: Shaughan Lavine (Understanding the Infinite [1994], I)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
Foundation says descending chains are of finite length, blocking circularity, or ungrounded sets [Lavine]
     Full Idea: The Axiom of Foundation (Zermelo 1930) says 'Every (descending) chain in which each element is a member of the previous one is of finite length'. ..This forbids circles of membership, or ungrounded sets. ..The iterative conception gives this centre stage.
     From: Shaughan Lavine (Understanding the Infinite [1994], V.4)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Pure collections of things obey Choice, but collections defined by a rule may not [Lavine]
     Full Idea: Combinatorial collections (defined just by the members) obviously obey the Axiom of Choice, while it is at best dubious whether logical connections (defined by a rule) do.
     From: Shaughan Lavine (Understanding the Infinite [1994], IV.2)
The controversy was not about the Axiom of Choice, but about functions as arbitrary, or given by rules [Lavine]
     Full Idea: The controversy was not about Choice per se, but about the correct notion of function - between advocates of taking mathematics to be about arbitrary functions and advocates of taking it to be about functions given by rules.
     From: Shaughan Lavine (Understanding the Infinite [1994], I)
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
The 'logical' notion of class has some kind of definition or rule to characterise the class [Lavine]
     Full Idea: The Peano-Russell notion of class is the 'logical' notion, where each collection is associated with some kind of definition or rule that characterises the members of the collection.
     From: Shaughan Lavine (Understanding the Infinite [1994], IV.1)
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception of set wasn't suggested until 1947 [Lavine]
     Full Idea: The iterative conception of set was not so much as suggested, let alone advocated by anyone, until 1947.
     From: Shaughan Lavine (Understanding the Infinite [1994], I)
The iterative conception needs the Axiom of Infinity, to show how far we can iterate [Lavine]
     Full Idea: The iterative conception of sets does not tell us how far to iterate, and so we must start with an Axiom of Infinity. It also presupposes the notion of 'transfinite iteration'.
     From: Shaughan Lavine (Understanding the Infinite [1994], V.5)
The iterative conception doesn't unify the axioms, and has had little impact on mathematical proofs [Lavine]
     Full Idea: The iterative conception does not provide a conception that unifies the axioms of set theory, ...and it has had very little impact on what theorems can be proved.
     From: Shaughan Lavine (Understanding the Infinite [1994], V.5)
     A reaction: He says he would like to reject the iterative conception, but it may turn out that Foundation enables new proofs in mathematics (though it hasn't so far).
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size: if it's the same size as a set, it's a set; it uses Replacement [Lavine]
     Full Idea: Limitation of Size has it that if a collection is the same size as a set, then it is a set. The Axiom of Replacement is characteristic of limitation of size.
     From: Shaughan Lavine (Understanding the Infinite [1994], V.5)
4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
A collection is 'well-ordered' if there is a least element, and all of its successors can be identified [Lavine]
     Full Idea: A collection M is 'well-ordered' by a relation < if < linearly orders M with a least element, and every subset of M that has an upper bound not in it has an immediate successor.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.4)
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order logic presupposes a set of relations already fixed by the first-order domain [Lavine]
     Full Idea: The distinctive feature of second-order logic is that it presupposes that, given a domain, there is a fact of the matter about what the relations on it are, so that the range of the second-order quantifiers is fixed as soon as the domain is fixed.
     From: Shaughan Lavine (Understanding the Infinite [1994], V.3)
     A reaction: This sounds like a rather large assumption, which is open to challenge. I am not sure whether it was the basis of Quine's challenge to second-order logic. He seems to have disliked its vagueness, because it didn't stick with 'objects'.
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 / D. Assumptions for Logic / 2. Excluded Middle
Mathematical proof by contradiction needs the law of excluded middle [Lavine]
     Full Idea: The Law of Excluded Middle is (part of) the foundation of the mathematical practice of employing proofs by contradiction.
     From: Shaughan Lavine (Understanding the Infinite [1994], VI.1)
     A reaction: This applies in a lot of logic, as well as in mathematics. Come to think of it, it applies in Sudoku.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is nowadays (thanks to set theory) regarded as the study of structure, not of quantity [Lavine]
     Full Idea: Mathematics is today thought of as the study of abstract structure, not the study of quantity. That point of view arose directly out of the development of the set-theoretic notion of abstract structure.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.2)
     A reaction: It sounds as if Structuralism, which is a controversial view in philosophy, is a fait accompli among mathematicians.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Every rational number, unlike every natural number, is divisible by some other number [Lavine]
     Full Idea: One reason to introduce the rational numbers is that it simplifes the theory of division, since every rational number is divisible by every nonzero rational number, while the analogous statement is false for the natural numbers.
     From: Shaughan Lavine (Understanding the Infinite [1994], VI.3)
     A reaction: That is, with rations every division operation has an answer.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
For the real numbers to form a set, we need the Continuum Hypothesis to be true [Lavine]
     Full Idea: The chief importance of the Continuum Hypothesis for Cantor (I believe) was that it would show that the real numbers form a set, and hence that they were encompassed by his theory.
     From: Shaughan Lavine (Understanding the Infinite [1994], IV.2)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a necessary condition for the convergence of a sequence [Lavine]
     Full Idea: The Cauchy convergence criterion for a sequence: the sequence S0,S1,... has a limit if |S(n+r) - S(n)| is less than any given quantity for every value of r and sufficiently large values of n. He proved this necessary, but not sufficient.
     From: Shaughan Lavine (Understanding the Infinite [1994], 2.5)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
The two sides of the Cut are, roughly, the bounding commensurable ratios [Lavine]
     Full Idea: Roughly speaking, the upper and lower parts of the Dedekind cut correspond to the commensurable ratios greater than and less than a given incommensurable ratio.
     From: Shaughan Lavine (Understanding the Infinite [1994], II.6)
     A reaction: Thus there is the problem of whether the contents of the gap are one unique thing, or many.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Counting results in well-ordering, and well-ordering makes counting possible [Lavine]
     Full Idea: Counting a set produces a well-ordering of it. Conversely, if one has a well-ordering of a set, one can count it by following the well-ordering.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.4)
     A reaction: Cantor didn't mean that you could literally count the set, only in principle.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
The theory of infinity must rest on our inability to distinguish between very large sizes [Lavine]
     Full Idea: The indiscernibility of indefinitely large sizes will be a critical part of the theory of indefinitely large sizes.
     From: Shaughan Lavine (Understanding the Infinite [1994], VIII.2)
The infinite is extrapolation from the experience of indefinitely large size [Lavine]
     Full Idea: My proposal is that the concept of the infinite began with an extrapolation from the experience of indefinitely large size.
     From: Shaughan Lavine (Understanding the Infinite [1994], VIII.2)
     A reaction: I think it might be better to talk of an 'abstraction' than an 'extrapolition', since the latter is just more of the same, which doesn't get you to concept. Lavine spends 100 pages working out his proposal.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
The intuitionist endorses only the potential infinite [Lavine]
     Full Idea: The intuitionist endorse the actual finite, but only the potential infinite.
     From: Shaughan Lavine (Understanding the Infinite [1994], VI.2)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
'Aleph-0' is cardinality of the naturals, 'aleph-1' the next cardinal, 'aleph-ω' the ω-th cardinal [Lavine]
     Full Idea: The symbol 'aleph-nought' denotes the cardinal number of the set of natural numbers. The symbol 'aleph-one' denotes the next larger cardinal number. 'Aleph-omega' denotes the omega-th cardinal number.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Ordinals are basic to Cantor's transfinite, to count the sets [Lavine]
     Full Idea: The ordinals are basic because the transfinite sets are those that can be counted, or (equivalently for Cantor), those that can be numbered by an ordinal or are well-ordered.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.4)
     A reaction: Lavine observes (p.55) that for Cantor 'countable' meant 'countable by God'!
Paradox: the class of all ordinals is well-ordered, so must have an ordinal as type - giving a bigger ordinal [Lavine]
     Full Idea: The paradox of the largest ordinal (the 'Burali-Forti') is that the class of all ordinal numbers is apparently well-ordered, and so it has an ordinal number as order type, which must be the largest ordinal - but all ordinals can be increased by one.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.5)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Paradox: there is no largest cardinal, but the class of everything seems to be the largest [Lavine]
     Full Idea: The paradox of the largest cardinal ('Cantor's Paradox') says the diagonal argument shows there is no largest cardinal, but the class of all individuals (including the classes) must be the largest cardinal number.
     From: Shaughan Lavine (Understanding the Infinite [1994], III.5)
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory will found all of mathematics - except for the notion of proof [Lavine]
     Full Idea: Every theorem of mathematics has a counterpart with set theory - ...but that theory cannot serve as a basis for the notion of proof.
     From: Shaughan Lavine (Understanding the Infinite [1994], V.3)
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Modern mathematics works up to isomorphism, and doesn't care what things 'really are' [Lavine]
     Full Idea: In modern mathematics virtually all work is only up to isomorphism and no one cares what the numbers or points and lines 'really are'.
     From: Shaughan Lavine (Understanding the Infinite [1994], VI.1)
     A reaction: At least that leaves the field open for philosophers, because we do care what things really are. So should everybody else, but there is no persuading some people.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionism rejects set-theory to found mathematics [Lavine]
     Full Idea: Intuitionism in philosophy of mathematics rejects set-theoretic foundations.
     From: Shaughan Lavine (Understanding the Infinite [1994], V.3 n33)
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 / 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 / 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
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.
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.
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.
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 / 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.
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 / 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'.
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.
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 / 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)
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.
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
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)
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)
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)
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)
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)
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 / 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 / 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 / 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.
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
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)
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 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)
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.
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 / B. Contract Ethics / 1. Contractarianism
Repay evil with good and your enemies will become friends (though this is hard) [Mohammed]
     Full Idea: Requite evil with good, and he who is your enemy will become your dearest friend; but none will attain this save those who endure with fortitude and are greatly favoured by Allah.
     From: Mohammed (The Koran [c.622], Ch.41)
     A reaction: This seems opposed to some of the more vengeful remarks in the Koran. It strikes me as good common sense, since vengeance only seems to breed counter-vengeance. It doesn't carry the full altruistic commitment, though, of unrewarded love.
You may break off a treaty if you fear treachery from your ally [Mohammed]
     Full Idea: If you fear treachery from any of your allies, you may retaliate by breaking off your treaty with them; Allah does not love the treacherous.
     From: Mohammed (The Koran [c.622], Ch.8)
     A reaction: I do not think this is good advice. Everybody fears treachery, but if we all acted on that fear human relationships and society would immediately collapse. If anyone thought this was good advice, I would not want to make a treaty with them.
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 / a. Virtues
Allah rewards those who are devout, sincere, patient, humble, charitable, chaste, and who fast [Mohammed]
     Full Idea: Allah will bestow forgiveness and a rich reward on those, both men and women, who are devout, sincere, patient, humble, charitable and chaste; who fast and are ever mindful of Allah.
     From: Mohammed (The Koran [c.622], Ch.33)
     A reaction: Most people would still agree that all of these are virtues, though other lists will show interesting virtues that are not mentioned here, and many on this list seem overrated in the modern pantheon of virtues.
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
Those who avenge themselves when wronged incur no guilt [Mohammed]
     Full Idea: Those who avenge themselves when wronged incur no guilt.
     From: Mohammed (The Koran [c.622], Ch.42)
     A reaction: Compare Ideas 1659 (Protagoras), 346 (Socrates), 6288 (Jesus), and 4286 (Scruton!). In the light of those ideas, this comment in the Koran strikes me as coming from an older and less civilized world.
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?).
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
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.
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.
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
Punish theft in men or women by cutting off their hands [Mohammed]
     Full Idea: As for the man or woman who is guilty of theft, cut off their hands to punish them for their crimes.
     From: Mohammed (The Koran [c.622], Ch.5)
     A reaction: I find this shocking because it is irrevocable and offers no hope of redemption. It is particularly shocking that the text does not enjoin any caution about inflicting the punishment on the young, most of whom reform from thieving in later life.
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 / 1. Causing Death
Do not kill except for a just cause [Mohammed]
     Full Idea: Do not kill except for a just cause.
     From: Mohammed (The Koran [c.622], Ch.25)
     A reaction: Slippery slope! I can see that pleasure would not be a just cause, and ensuring the entry of all humanity to paradise might be one, but I find the area in between a little unclear. The Koran seems to allow you to decide for yourself.
Killing a human, except as just punishment, is like killing all mankind [Mohammed]
     Full Idea: We laid it down for the Israelites that whoever killed a human being, except as a punishment for murder or other wicked crimes, should be looked upon as though he had killed all mankind.
     From: Mohammed (The Koran [c.622], Ch.5)
     A reaction: It seems inconceivable that the Koran could be used to justify indiscriminate terrorism, in the light of remarks such as this.
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 / 2. Divine Nature
Allah is lord of creation, compassionate, merciful, king of judgement-day [Mohammed]
     Full Idea: Praise be to Allah, Lord of Creation, The Compassionate, the Merciful, King of Judgement-day!
     From: Mohammed (The Koran [c.622], Exord)
     A reaction: The Muslim concept of God confronts directly a clear theological difficulty, a difficulty faced by any judge: the conflict between mercy and justice. Christianity seems to emphasise mercy, and Islam emphasises justice.
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.
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 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 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 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
True believers see that Allah made the night for rest and the day to give light [Mohammed]
     Full Idea: Do they not see how We have made the night for them to rest in and the day to give them light? Surely there are signs in this for true believers.
     From: Mohammed (The Koran [c.622], Ch.27)
     A reaction: The main traditional argument for God implied in the Koran is the design argument. It is clear from this that Islam will not be comfortable with Darwinian evolution, which implies we are 'designed' for the Earth, not the Earth for us.
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
Allah cannot have begotten a son, as He is self-sufficient [Mohammed]
     Full Idea: They say: 'Allah has begotten a son.' Allah forbid! Self-sufficient is He.
     From: Mohammed (The Koran [c.622], Ch.10)
     A reaction: This is quite persuasive, except that the point of Jesus is that he suffers a cruel death, and we are required to identify with God's parental feelings here, His involvement, which would not occur with the death of one of His prophets.
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 / B. Monotheistic Religion / 6. Islam
There shall be no compulsion in religion [Mohammed]
     Full Idea: There shall be no compulsion in religion.
     From: Mohammed (The Koran [c.622], Ch.2)
     A reaction: This seems to contradict some of the more aggressive remarks in the Koran, such as Idea 6827. As I read it, the three non-compelling ideas that lead to true religion in the Koran are desire for paradise, fear of punishment, and worship of divine design.
He that kills a believer by design shall burn in Hell for ever [Mohammed]
     Full Idea: He that kills a believer by design shall burn in Hell for ever.
     From: Mohammed (The Koran [c.622], Ch.4)
     A reaction: This would appear to make modern indiscriminate urban terrorism a damning sin for a Muslim.
Make war on the unbelievers until Allah's religion reigns supreme [Mohammed]
     Full Idea: Make war on the unbelievers until idolatry is no more and Allah's religion reigns supreme.
     From: Mohammed (The Koran [c.622], Ch.8)
     A reaction: This should presumably be seen in context, as a war speech written during a conflict, like Churchill 'fighting them on the beaches', which does not apply to modern German tourists. However, one worries about how fundamentalists might read it.
Unbelievers try to interpret the ambiguous parts of the Koran, simply to create dissension [Mohammed]
     Full Idea: Some of the verses of the Koran are precise in meaning - they are the foundations of the Book - and others are ambiguous. Disbelievers follow the ambiguous part, to create dissension by seeking to explain it. No one knows its meaning except Allah.
     From: Mohammed (The Koran [c.622], Ch.3)
     A reaction: It is tempting to ask why some of the verses are ambiguous. The implication here is that they are a deliberate test for believers, like the apple in the garden of Eden.
The Koran is certainly composed by Allah; no one could compose a chapter like it [Mohammed]
     Full Idea: This Koran could not have been composed by any but Allah. It is beyond doubt from the Lord of the Creation. If they say: 'It is your own invention', say: 'Compose one chapter like it. Call on your false gods to help you!'
     From: Mohammed (The Koran [c.622], Ch.10)
     A reaction: I find this unpersuasive, firstly because I couldn't imitate the sonnets of Shakespeare either, and secondly because the authority of a text must be asserted outside the text, not within it. Scribble "this is a ten pound note" on a scrap of paper.
Do not split into sects, exulting in separate beliefs [Mohammed]
     Full Idea: Do not split up your religion into sects, each exulting in its own beliefs.
     From: Mohammed (The Koran [c.622], Ch.30)
     A reaction: This seems like good advice to a religion, but it is very difficult to retrace steps and reunite once it has happened. Which sect should make the greatest concessions? Must they both admit to being somewhat wrong?
I created mankind that it might worship Me [Mohammed]
     Full Idea: I created mankind and the jinn in order that they might worship Me.
     From: Mohammed (The Koran [c.622], Ch.51)
     A reaction: This seems to be a view common to all the monotheistic religions, with monasticism as its clearest (and most logical) outcome. Nietzsche is the most obvious opponent of this idea that the abasement of mankind is its highest ideal.
Be patient with unbelievers, and leave them to the judgement of Allah [Mohammed]
     Full Idea: Bear patiently with what the unbelievers say, and leave their company without recrimination; leave to Me those that deny the truth.
     From: Mohammed (The Koran [c.622], Ch.73)
     A reaction: This explicitly says Muslims should not attack infidels simply for their unbelief in Allah.
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
The righteous shall dwell on couches in gardens, wedded to dark-eyed houris [Mohammed]
     Full Idea: In fair gardens the righteous shall dwell in bliss, rejoicing in what their Lord will give them. They shall recline on couches ranged in rows. To dark-eyed houris We shall wed them.
     From: Mohammed (The Koran [c.622], Ch.52)
     A reaction: What I find distressing about this is that we have gradually worked out how young men can recline on couches in gardens with dark-eyed houris before death, and the Koran seems to depict it as the highest form of living.
Heaven will be reclining on couches, eating fruit, attended by virgins [Mohammed]
     Full Idea: All who dwell in heaven shall recline on couches lined with thick brocade, and within their reach will hang the fruits of gardens; they shall dwell with bashful virgins whom neither men nor jinnee will have touched before.
     From: Mohammed (The Koran [c.622], Ch.55)
     A reaction: In the seventh century this was more impressive than it seems now. I still find it sad (though understandable) that paradise must always be depicted in terms of physical pleasure. Aristotle wouldn't have yearned for such an immortality.
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 / 2. Immortality / e. Hell
Unbelievers will have their skin repeatedly burned off in hell [Mohammed]
     Full Idea: Those that deny Our revelations We will burn in Hell-fire. No sooner will their skins be consumed that We shall give them other skins, so that they may truly taste Our scourge. Allah is mighty and wise.
     From: Mohammed (The Koran [c.622], Ch.4)
     A reaction: Of all the accounts of hell in the Koran, this strikes me as the most alarming. I cannot think of a worse infliction, because here every nerve which can experience pain will suffer it (though the drinking of boiling water, Idea 6816, will make it worse).
The unbelievers shall drink boiling water [Mohammed]
     Full Idea: As for the unbelievers, they shall drink boiling water.
     From: Mohammed (The Koran [c.622], Ch.10)
     A reaction: This seems to be presented not only as a threat to unbelievers, but also as a satisfaction to believers.
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?