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All the ideas for 'Intro to Naming,Necessity and Natural Kinds', 'Must We Believe in Set Theory?' and 'Semantic Necessity'

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20 ideas

2. Reason / D. Definition / 1. Definitions
5831 The new view is that "water" is a name, and has no definition [Schwartz,SP]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
14620 Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms [Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
5829 We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP]
5830 The traditional theory of names says some of the descriptions must be correct [Schwartz,SP]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
14530 The role of semantic necessity in semantics is like metaphysical necessity in metaphysics [Fine,K, by Hale/Hoffmann,A]
18. Thought / C. Content / 8. Intension
5826 The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP]
19. Language / C. Assigning Meanings / 2. Semantics
14618 Semantics is either an assignment of semantic values, or a theory of truth [Fine,K]
14621 Semantics is a body of semantic requirements, not semantic truths or assigned values [Fine,K]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
14622 Referential semantics (unlike Fregeanism) allows objects themselves in to semantic requirements [Fine,K]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
14619 The Quinean doubt: are semantics and facts separate, and do analytic sentences have no factual part? [Fine,K]