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All the ideas for 'Logical Pluralism', 'Abstract of 'The Fourfold Root'' and 'works'

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58 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Quinean metaphysics just lists the beings, which is a domain with no internal structure [Schaffer,J on Quine]
     Full Idea: The Quinean task in metaphysics is to say what exists. What exists forms the domain of quantification. The domain is a set (or class, or plurality) - it has no internal structure. In other words, the Quinean task is to list the beings.
     From: comment on Willard Quine (works [1961]) by Jonathan Schaffer - On What Grounds What 1.1
     A reaction: I really warm to this thesis. The Quinean version is what you get when you think that logic is the best tool for explicating metaphysics. Schaffer goes on to say that the only real aim for Quine is the cardinality of what exists!
2. Reason / B. Laws of Thought / 2. Sufficient Reason
'There is nothing without a reason why it should be rather than not be' (a generalisation of 'Why?') [Schopenhauer]
     Full Idea: The Principle may be stated as 'There is nothing without a reason why it should be rather than not be', which is a generalisation of the assumption which justifies the question 'Why?', which is the mother of all science.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.I)
     A reaction: This faith is the core of philosophy, to be maintained against all defeatists like Wittgenstein and Colin McGinn. Reality must be rational, or we wouldn't be here to think about it. (Maybe!)
3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
     Full Idea: Dialetheism is the view that some truths have true negations.
     From: JC Beall / G Restall (Logical Pluralism [2006], 7.4)
     A reaction: The important thing to remember is that they are truths. Thus 'Are you feeling happy?' might be answered 'Yes and no'.
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
     Full Idea: The truthmaker thesis is that an object is a truthmaker for a sentence if and only if its existence entails the sentence.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.3)
     A reaction: The use of the word 'object' here is even odder than usual, and invites many questions. And the 'only if' seems peculiar, since all sorts of things can make a sentence true. 'There is someone in the house' for example.
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
     Full Idea: The inference of 'distribution' (∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically. It is straightforward to construct a 'stage' at which the LHS is true but the RHS is not.
     From: JC Beall / G Restall (Logical Pluralism [2006], 6.1.2)
     A reaction: This seems to parallel the iterative notion in set theory, that you must construct your hierarchy. All part of the general 'constructivist' approach to things. Is some kind of mad platonism the only alternative?
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
     Full Idea: The argument from P to A is 'relevantly' valid if and only if, for every situation in which each premise in P is true, so is A.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: I like the idea that proper inference should have an element of relevance to it. A falsehood may allow all sorts of things, without actually implying them. 'Situations' sound promising here.
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
     Full Idea: Relevant logic endorses excluded middle, ..but says instances of the law may fail. Bv¬B is true in every situation that settles the matter of B. It is necessary that there is some such situation.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: See next idea for the unusual view of necessity on which this rests. It seems easier to assert something about all situations than just about 'some' situation.
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
     Full Idea: Relevant consequence says the conclusion of a relevantly invalid argument is not 'carried in' the premises - it does not follow from the premises.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.3.3)
     A reaction: I find this appealing. It need not invalidate classical logic. It is just a tougher criterion which is introduced when you want to do 'proper' reasoning, instead of just playing games with formal systems.
Relevant logic does not abandon classical logic [Beall/Restall]
     Full Idea: We have not abandoned classical logic in our acceptance of relevant logic.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.4)
     A reaction: It appears that classical logic is straightforwardly accepted, but there is a difference of opinion over when it is applicable.
A doesn't imply A - that would be circular [Beall/Restall]
     Full Idea: We could reject the inference from A to itself (on grounds of circularity).
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: [Martin-Meyer System] 'It's raining today'. 'Are you implying that it is raining today?' 'No, I'm SAYING it's raining today'. Logicians don't seem to understand the word 'implication'. Logic should capture how we reason. Nice proposal.
Relevant logic may reject transitivity [Beall/Restall]
     Full Idea: Some relevant logics reject transitivity, but we defend the classical view.
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: [they cite Neil Tennant for this view] To reject transitivity (A?B ? B?C ? A?C) certainly seems a long way from classical logic. But in everyday inference Tennant's idea seems good. The first premise may be irrelevant to the final conclusion.
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
     Full Idea: A logic is 'free' to the degree it refrains from existential import of its singular and general terms. Classical logic must have non-empty domain, and each name must denote in the domain.
     From: JC Beall / G Restall (Logical Pluralism [2006], 7.1)
     A reaction: My intuition is that logic should have no ontology at all, so I like the sound of 'free' logic. We can't say 'Pegasus does not exist', and then reason about Pegasus just like any other horse.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory is full of Platonist metaphysics, so Quine aimed to keep it separate from logic [Quine, by Benardete,JA]
     Full Idea: Quine has showed us how set theory - now recognised to be positively awash in Platonistic metaphysics - can and should be prevented from infecting logic proper.
     From: report of Willard Quine (works [1961]) by José A. Benardete - Metaphysics: the logical approach Intro
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Quine wants V = L for a cleaner theory, despite the scepticism of most theorists [Quine, by Shapiro]
     Full Idea: Quine suggests that V = L be accepted in set theory because it makes for a cleaner theory, even though most set theorists are skeptical of V = L.
     From: report of Willard Quine (works [1961]) by Stewart Shapiro - Philosophy of Mathematics Ch.1
     A reaction: Shapiro cites it as a case of a philosopher trying to make recommendations to mathematicians. Maddy supports Quine.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Two things can never entail three things [Quine, by Benardete,JA]
     Full Idea: Two things can never entail three things.
     From: report of Willard Quine (works [1961]) by José A. Benardete - Metaphysics: the logical approach Ch.17
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
     Full Idea: Nowadays we think of the consequence relation itself as the primary subject of logic, and view logical truths as degenerate instances of this relation. Logical truths follow from any set of assumptions, or from no assumptions at all.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: This seems exactly right; the alternative is the study of necessities, but that may not involve logic.
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
     Full Idea: According to the Peripatetics (Aristotelians), only syllogistic laws stated in variables belong to logic, and not their applications to concrete terms.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.5)
     A reaction: [from Lukasiewicz] Seems wrong. I take it there are logical relations between concrete things, and the variables are merely used to describe these relations. Variables lack the internal powers to drive logical necessities. Variables lack essence!
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
     Full Idea: Through much of the 20th century the conception of logic was inherited from Frege and Russell, as knowledge of a body of logical truths, as arithmetic or geometry was a knowledge of truths. This is odd, and a historical anomaly.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: Interesting. I have always taken this idea to be false. I presume logic has minimal subject matter and truths, and preferably none at all.
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
     Full Idea: Logic does not study formal languages for their own sake, which is formal grammar. Logic evaluates arguments, and primarily considers formal languages as interpreted.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.1)
     A reaction: Hodges seems to think logic just studies formal languages. The current idea strikes me as a much more sensible view.
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
     Full Idea: The model theory of classical predicate logic is mathematics if anything is.
     From: JC Beall / G Restall (Logical Pluralism [2006], 4.2.1)
     A reaction: This is an interesting contrast to the claim of logicism, that mathematics reduces to logic. This idea explains why students of logic are surprised to find themselves involved in mathematics.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
There are several different consequence relations [Beall/Restall]
     Full Idea: We are pluralists about logical consequence because we take there to be a number of different consequence relations, each reflecting different precisifications of the pre-theoretic notion of deductive logical consequence.
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: I don't see how you avoid the slippery slope that leads to daft logical rules like Prior's 'tonk' (from which you can infer anything you like). I say that nature imposes logical conquence on us - but don't ask me to prove it.
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
     Full Idea: The sentence X follows logically from the sentences of the class K if and only if every model of the class K is also a model of the sentence X.
     From: JC Beall / G Restall (Logical Pluralism [2006], 3.2)
     A reaction: This why the symbol |= is often referred to as 'models'.
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
If we had to name objects to make existence claims, we couldn't discuss all the real numbers [Quine]
     Full Idea: Since one wants to say that real numbers exist and yet one cannot name each of them, it is not unreasonable to relinquish the connection between naming an object and making an existence claim about it.
     From: Willard Quine (works [1961]), quoted by Alex Orenstein - W.V. Quine Ch.2
     A reaction: One could say that same about people, such as 'the most recent citizen of Brazil'. Some sort of successful reference seems to be needed, such as 'the next prime beyond the biggest so far found'. Depends what your predicate is going to be.
5. Theory of Logic / G. Quantification / 1. Quantification
No sense can be made of quantification into opaque contexts [Quine, by Hale]
     Full Idea: Quine says that no good sense can be made of quantification into opaque contexts.
     From: report of Willard Quine (works [1961]) by Bob Hale - Abstract Objects Ch.2
     A reaction: This is because poor old Quine was trapped in a world of language, and had lost touch with reality. I can quantify over the things you are thinking about, as long as you are thinking about things that can be quantified over.
Finite quantification can be eliminated in favour of disjunction and conjunction [Quine, by Dummett]
     Full Idea: Quine even asserts that where we have no infinite domains, quantification can be eliminated in favour of finite disjunction and conjunction.
     From: report of Willard Quine (works [1961]) by Michael Dummett - Frege Philosophy of Language (2nd ed) Ch.14
     A reaction: Thus ∃x is expressed as 'this or this or this...', and ∀ is expressed as 'this and this and this...' Dummett raises an eyebrow, but it sounds OK to me.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quine thought substitutional quantification confused use and mention, but then saw its nominalist appeal [Quine, by Marcus (Barcan)]
     Full Idea: Quine at first regarded substitutional quantification as incoherent, behind which there lurked use-mention confusions, but has over the years, given his nominalist dispositions, come to notice its appeal.
     From: report of Willard Quine (works [1961]) by Ruth Barcan Marcus - Nominalism and Substitutional Quantifiers p.166
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
     Full Idea: If mathematical truth reduces to logical truth then it is important what counts as logically true, …but if logicism is not a going concern, then the body of purely logical truths will be less interesting.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: Logicism would only be one motivation for pursuing logical truths. Maybe my new 'Necessitism' will derive the Peano Axioms from broad necessary truths, rather than from logic.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
     Full Idea: The Paradox of the Preface is an apology, that you are committed to each proposition in the book, but admit that collectively they probably contain a mistake. There is a contradiction, of affirming and denying the conjunction of propositions.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.4)
     A reaction: This seems similar to the Lottery Paradox - its inverse perhaps. Affirm all and then deny one, or deny all and then affirm one?
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein]
     Full Idea: Intuitionists will not admit any numbers which are not properly constructed out of rational numbers, ...but classical mathematics appeals to the real numbers (a non-denumerable totality) in notions such as that of a limit
     From: report of Willard Quine (works [1961]) by Alex Orenstein - W.V. Quine Ch.3
     A reaction: (See Idea 8454 for the categories of numbers). This is a problem for Dummett.
For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein]
     Full Idea: Quine feels that the intuitionist's ontology of abstract objects is too slight to serve the needs of classical mathematics.
     From: report of Willard Quine (works [1961]) by Alex Orenstein - W.V. Quine Ch.3
     A reaction: Quine, who devoted his life to the application of Ockham's Razor, decided that sets were an essential part of the ontological baggage (which made him, according to Orenstein, a 'reluctant Platonist'). Dummett defends intuitionism.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
A logically perfect language could express all truths, so all truths must be logically expressible [Quine, by Hossack]
     Full Idea: Quine's test of ontological commitment says that anything that can be said truly at all must be capable of being said in a logically perfect language, so there must be a paraphrase of every truth into the language of logic.
     From: report of Willard Quine (works [1961]) by Keith Hossack - Plurals and Complexes 2
     A reaction: A very nice statement of the Quinean view, much more persuasive than other statements I have encountered. I am suddenly almost converted to a doctrine I have hitherto despised. Isn't philosophy wonderful?
7. Existence / D. Theories of Reality / 11. Ontological Commitment / c. Commitment of predicates
Quine says we can expand predicates easily (ideology), but not names (ontology) [Quine, by Noonan]
     Full Idea: The highly intuitive methodological programme enunciated by Quine says that as our knowledge expands we should unhesitatingly expand our ideology, our stock of predicables, but should be much more wary about ontology, the name variables.
     From: report of Willard Quine (works [1961]) by Harold Noonan - Identity §3
     A reaction: I suddenly embrace this as a crucial truth. This distinction allows you to expand on truths without expanding on reality. I would add that it is also crucial to distinguish properties from predicates. A new predicate isn't a new property.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
For Quine everything exists theoretically, as reference, predication and quantification [Quine, by Benardete,JA]
     Full Idea: Theoretical entities (which is everything, according to Quine) are postulated by us in a threefold fashion as an object (1) to which we refer, (2) of which we predicate, and (3) over which we quantify.
     From: report of Willard Quine (works [1961]) by José A. Benardete - Metaphysics: the logical approach Ch.12
     A reaction: Postulating and referring seem to be the same thing. Quantifying makes each entity a perfectly individuated object in a domain. Logicians then panic about vagueness. They should also panic about overlap.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Quine says the predicate of a true statement has no ontological implications [Quine, by Armstrong]
     Full Idea: Quine's doctrine is that the predicate of a true statement carries no ontological implications.
     From: report of Willard Quine (works [1961]) by David M. Armstrong - Properties §1
     A reaction: Quine is ontologically committed to the subject of the statement (an object). The predicate seems to be an inseparable part of that object. Quine is, of course, a holist, so ontological commitment isn't judged in single statements.
8. Modes of Existence / B. Properties / 12. Denial of Properties
Quine brought classes into semantics to get rid of properties [Quine, by McGinn]
     Full Idea: Quine brought classes into semantics in order to oust properties.
     From: report of Willard Quine (works [1961]) by Colin McGinn - Logical Properties Ch.3
     A reaction: Quine's view has always struck me as odd, as I don't see how you can decide what set something belongs to if you haven't already decided its properties. But then I take it that nature informs you of most properties, and set membership is not arbitrary.
Quine suggests that properties can be replaced with extensional entities like sets [Quine, by Shapiro]
     Full Idea: Quine doubts the existence of properties, and, trying to be helpful, suggests that variables ranging over properties be replaced with variables ranging over respectable extensional entities like sets, so we can 'identify' a property with a singleton set.
     From: report of Willard Quine (works [1961]) by Stewart Shapiro - Higher-Order Logic 2.1
     A reaction: This strikes me as a classic modern heresy, a slippery slope that loses all grip on what a property is, replacing it with entities that mean nothing, but make the logic work.
Don't analyse 'red is a colour' as involving properties. Say 'all red things are coloured things' [Quine, by Orenstein]
     Full Idea: Quine proposes that 'red is a colour' does not require analysis, such as 'there is an x which is the property of being red and it is a colour' which needs an ontology of properties. We can just say that all red things are coloured things.
     From: report of Willard Quine (works [1961]) by Alex Orenstein - W.V. Quine Ch.6
     A reaction: The question of the ontology of properties is here approached, in twentieth century style, as the question 'what is the logical form of property attribution sentences?' Quine's version deals in sets of prior objects, rather than abstract entities.
Quine says that if second-order logic is to quantify over properties, that can be done in first-order predicate logic [Quine, by Benardete,JA]
     Full Idea: Quine assures us that if the specific mission of second-order logic is quantifying over properties, the task can readily be performed by first-order predicate logic, as in (Ex) x is a property, and (y) y has x.
     From: report of Willard Quine (works [1961]) by José A. Benardete - Metaphysics: the logical approach Ch.10
8. Modes of Existence / D. Universals / 2. Need for Universals
Universals are acceptable if they are needed to make an accepted theory true [Quine, by Jacquette]
     Full Idea: Abstract entities (universals) are admitted to an ontology by Quine's criterion if they must be supposed to exist (or subsist) in order to make the propositions of an accepted theory true.
     From: report of Willard Quine (works [1961]) by Dale Jacquette - Abstract Entity p.3
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Quine is committed to sets, but is more a Class Nominalist than a Platonist [Quine, by Macdonald,C]
     Full Idea: Armstrong dubs Quine an 'Ostrich Nominalist' (what problem??), but Quine calls himself a Platonist, because he is committed to classes or sets as well as particulars. He is not an extreme nominalist, and might best be called a Class Nominalist.
     From: report of Willard Quine (works [1961], Ch.6 n15) by Cynthia Macdonald - Varieties of Things
     A reaction: For someone as ontologically austere as Quine to show 'commitment' to sets deserves some recognition. If he wants to be a Platonist, I say that's fine. What on earth is a set, apart from its members?
9. Objects / A. Existence of Objects / 4. Impossible objects
Definite descriptions can't unambiguously pick out an object which doesn't exist [Lycan on Quine]
     Full Idea: Meinong characteristically refers to his Objects using definite descriptions, such as 'the golden mountain'. But on his view there are many golden mountains, with different features. How can 'the golden mountain' then succeed in denoting a single Object?
     From: comment on Willard Quine (works [1961]) by William Lycan - The Trouble with Possible Worlds 01
     A reaction: Use of definite descriptions doesn't seem obligatory in this situation. 'Think of a golden mountain' - 'which one?' - 'never mind which one!'.
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
     Full Idea: In relevant logic, the necessary truths are not those which are true in every situation; rather, they are those for which it is necessary that there is a situation making them true.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: This seems to rest on the truthmaker view of such things, which I find quite attractive (despite Merricks's assault). Always ask what is making some truth necessary. This leads you to essences.
10. Modality / B. Possibility / 1. Possibility
Quine wants identity and individuation-conditions for possibilia [Quine, by Lycan]
     Full Idea: Quine notoriously demands identity and individuation-conditions for mere possibilia.
     From: report of Willard Quine (works [1961]) by William Lycan - The Trouble with Possible Worlds 01
     A reaction: Demanding individuation before speaking of anything strikes me as dubious. 'Whoever did this should own up'. 'There must be something we can do'. Obviously you need some idea of what you are talking about - but not much.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer]
     Full Idea: Necessity has no meaning other than the irresistible sequence of the effect where the cause is given. All necessity is thus conditioned, and absolute or unconditioned necessity is a contradiction in terms.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.VIII)
     A reaction: I.e. there is only natural necessity, and no such thing as metaphysical necessity. But what about logical necessity(e.g. 2+3=5)? I think there may be metaphysical necessity, but we can't know much about it, and we are over-confident in assessing it.
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
For Quine the only way to know a necessity is empirically [Quine, by Dancy,J]
     Full Idea: Quine argues that no necessity can be known other than empirically.
     From: report of Willard Quine (works [1961]) by Jonathan Dancy - Intro to Contemporary Epistemology 14.6
11. Knowledge Aims / A. Knowledge / 2. Understanding
All understanding is an immediate apprehension of the causal relation [Schopenhauer]
     Full Idea: All understanding is an immediate apprehension of the causal relation.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.IV)
     A reaction: Based, I take it, on Hume. Presumably he means a posteriori understanding, as it hardly fits an understanding of arithmetic. Understanding needs more than just causation. What aspects of causation?
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Quine's empiricism is based on whole theoretical systems, not on single mental events [Quine, by Orenstein]
     Full Idea: Traditional empiricism takes impressions, ideas or sense data as the basic unit of empirical thought, but Quine takes account of the theoretical as well as the observational; the unit of empirical significance is whole systems of belief.
     From: report of Willard Quine (works [1961]) by Alex Orenstein - W.V. Quine Ch.1
     A reaction: This invites either the question of what components make up the whole systems, or (alternatively) what sort of mental events decide to accept a system as a whole. Should Quine revert either to traditional empiricism, or to rationalism?
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
To proclaim cultural relativism is to thereby rise above it [Quine, by Newton-Smith]
     Full Idea: Truth, says the cultural relativist, is culture-bound. But if it were, then he, within his own culture, ought to see his own culture-bound truth as absolute. He cannot proclaim cultural relativism without rising above it.
     From: report of Willard Quine (works [1961]) by W.H. Newton-Smith - The Rationality of Science VII.10
14. Science / B. Scientific Theories / 3. Instrumentalism
For Quine, theories are instruments used to make predictions about observations [Quine, by O'Grady]
     Full Idea: Quine's epistemological position is instrumentalist. Our theories are instruments we use to make predictions about observations.
     From: report of Willard Quine (works [1961]) by Paul O'Grady - Relativism Ch.3
     A reaction: This is the pragmatist in Quine. It fits the evolutionary view to think that the bottom line is prediction. My theory about the Pelopponesian War seems an exception.
16. Persons / C. Self-Awareness / 2. Knowing the Self
What we know in ourselves is not a knower but a will [Schopenhauer]
     Full Idea: What we know in ourselves is never what knows, but what wills, the will.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.VII)
     A reaction: An interesting slant on Hume's scepticism about personal identity. Hume was hunting for a thing-which-experiences. If he had sought his will, he might have spotted it.
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer]
     Full Idea: The identity of the subject of willing with that of knowing by virtue whereof ...the word 'I' includes and indicates both, is the knot of the world, and hence inexplicable.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], p.211-2), quoted by Christopher Janaway - Schopenhauer 4 'Self'
     A reaction: I'm struggling to see this as a deep mystery. If we look objectively at animals and ask 'what is their brain for?' the answer seems obvious. This may be a case of everything looking mysterious after a philosopher has stared at it for a while.
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
     Full Idea: All judgement, for Kant, is essentially the predication of some property to some subject.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.5)
     A reaction: Presumably the denial of a predicate could be a judgement, or the affirmation of ambiguous predicates?
19. Language / B. Reference / 1. Reference theories
Quine says there is no matter of fact about reference - it is 'inscrutable' [Quine, by O'Grady]
     Full Idea: Quine holds the doctrine of the 'inscrutability of reference', which means there is no fact of the matter about reference.
     From: report of Willard Quine (works [1961]) by Paul O'Grady - Relativism Ch.3
     A reaction: Presumably reference depends on conventions like pointing, or the functioning of words like "that", or the ambiguities of descriptions. If you can't define it, it doesn't exist? I don't believe him.
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
     Full Idea: Situation semantics is a variation of the truth-conditional approach, taking the salient unit of analysis not to be the possible world, or some complete consistent index, but rather the more modest 'situation'.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.4)
     A reaction: When I read Davidson (and implicitly Frege) this is what I always assumed was meant. The idea that worlds are meant has crept in to give truth conditions for modal statements. Hence situation semantics must cover modality.
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]
     Full Idea: Our talk of propositions expresses commitment to the general notion of content, without a commitment to any particular way of spelling this out.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.1)
     A reaction: As a fan of propositions I like this. It leaves open the question of whether the content belongs to the mind or the language. Animals entertain propositions, say I.
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
The principle of charity only applies to the logical constants [Quine, by Miller,A]
     Full Idea: Quine takes to the principle of charity to apply only to the translation of the logical constants.
     From: report of Willard Quine (works [1961]) by Alexander Miller - Philosophy of Language 8.7
     A reaction: Given how weird some people's view of the world seems to be, this very cautious approach has an interesting rival appeal to Davidson't much more charitable view, that people mostly speak truth. It depends whether you are discussing lunch or the gods.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Essence gives an illusion of understanding [Quine, by Almog]
     Full Idea: Essence engenders a mere illusion of understanding
     From: report of Willard Quine (works [1961]) by Joseph Almog - Nature Without Essence Intro
     A reaction: [Almog quotes Quine, but doesn't give a reference] This is roughly the same as Popper's criticism of essentialism.
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer]
     Full Idea: Time may be defined as the possibility of mutually exclusive conditions of the same thing.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.IV)
     A reaction: An off-beat philosophical view of the question. Sounds more like a consequence of time than its essential nature.