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All the ideas for 'fragments/reports', '(Nonsolipsistic) Conceptual Role Semantics' and 'Russell's Mathematical Logic'

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26 ideas

2. Reason / A. Nature of Reason / 6. Coherence
12596 Reasoning aims at increasing explanatory coherence [Harman]
12599 Reason conservatively: stick to your beliefs, and prefer reasoning that preserves most of them [Harman]
2. Reason / D. Definition / 8. Impredicative Definition
10041 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
21716 In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
12595 We have a theory of logic (implication and inconsistency), but not of inference or reasoning [Harman]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
10035 Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
12597 I might accept P and Q as likely, but reject P-and-Q as unlikely [Harman]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10042 Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10038 A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10046 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
10039 Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10043 Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
10045 Impredicative definitions are admitted into ordinary mathematics [Gödel]
7. Existence / D. Theories of Reality / 3. Reality
12598 Reality is the overlap of true complete theories [Harman]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
12602 There is no natural border between inner and outer [Harman]
12603 We can only describe mental attitudes in relation to the external world [Harman]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
12601 The way things look is a relational matter, not an intrinsic matter [Harman]
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
12592 Concepts in thought have content, but not meaning, which requires communication [Harman]
19. Language / A. Nature of Meaning / 6. Meaning as Use
12590 Take meaning to be use in calculation with concepts, rather than in communication [Harman]
12593 The use theory attaches meanings to words, not to sentences [Harman]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
12588 Meaning from use of thoughts, constructed from concepts, which have a role relating to reality [Harman]
12589 Some regard conceptual role semantics as an entirely internal matter [Harman]
12600 The content of thought is relations, between mental states, things in the world, and contexts [Harman]
19. Language / F. Communication / 3. Denial
12594 If one proposition negates the other, which is the negative one? [Harman]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
12591 Mastery of a language requires thinking, and not just communication [Harman]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]