Combining Texts

All the ideas for 'Two Dogmas of Empiricism', 'Quine on Quantifying In' and 'Russell's Mathematical Logic'

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40 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Any statement can be held true if we make enough adjustment to the rest of the system [Quine]
2. Reason / D. Definition / 1. Definitions
Definition rests on synonymy, rather than explaining it [Quine]
2. Reason / D. Definition / 8. Impredicative Definition
Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Is it the sentence-token or the sentence-type that has a logical form? [Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
Quine's arguments fail because he naively conflates names with descriptions [Fine,K on Quine]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is referential quantification over expressions [Fine,K]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Quine blurs the difference between knowledge of arithmetic and of physics [Jenkins on Quine]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Impredicative definitions are admitted into ordinary mathematics [Gödel]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Quine is hopeless circular, deriving ontology from what is literal, and 'literal' from good ontology [Yablo on Quine]
9. Objects / A. Existence of Objects / 1. Physical Objects
If physical objects are a myth, they are useful for making sense of experience [Quine]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Aristotelian essence of the object has become the modern essence of meaning [Quine]
10. Modality / A. Necessity / 6. Logical Necessity
Contrary to some claims, Quine does not deny logical necessity [Quine, by McFetridge]
10. Modality / A. Necessity / 11. Denial of Necessity
Quine's attack on the analytic-synthetic distinction undermined necessary truths [Quine, by Shoemaker]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Metaphysical analyticity (and linguistic necessity) are hopeless, but epistemic analyticity is a priori [Boghossian on Quine]
Quine challenges the claim that analytic truths are knowable a priori [Quine, by Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Quine's objections to a priori knowledge only work in the domain of science [Horwich on Quine]
Science is empirical, simple and conservative; any belief can hence be abandoned; so no a priori [Quine, by Horwich]
Logic, arithmetic and geometry are revisable and a posteriori; quantum logic could be right [Horwich on Quine]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricism makes a basic distinction between truths based or not based on facts [Quine]
Our outer beliefs must match experience, and our inner ones must be simple [Quine]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The second dogma is linking every statement to some determinate observations [Quine, by Yablo]
14. Science / B. Scientific Theories / 6. Theory Holism
Statements about the external world face the tribunal of sense experience as a corporate body [Quine]
19. Language / A. Nature of Meaning / 1. Meaning
It is troublesome nonsense to split statements into a linguistic and a factual component [Quine]
19. Language / A. Nature of Meaning / 8. Synonymy
'Renate' and 'cordate' have identical extensions, but are not synonymous [Quine, by Miller,A]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Once meaning and reference are separated, meaning ceases to seem important [Quine]
19. Language / E. Analyticity / 1. Analytic Propositions
Analytic statements are either logical truths (all reinterpretations) or they depend on synonymy [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Did someone ever actually define 'bachelor' as 'unmarried man'? [Quine]
Quine's attack on analyticity undermined linguistic views of necessity, and analytic views of the a priori [Quine, by Boghossian]
Quine attacks the Fregean idea that we can define analyticity through synonyous substitution [Quine, by Thomasson]
The last two parts of 'Two Dogmas' are much the best [Miller,A on Quine]
Erasing the analytic/synthetic distinction got rid of meanings, and saved philosophy of language [Davidson on Quine]
The analytic needs excessively small units of meaning and empirical confirmation [Quine, by Jenkins]
If we try to define analyticity by synonymy, that leads back to analyticity [Quine]