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All the ideas for 'Explanation and Reference', 'Being You' and 'Russell's Mathematical Logic'

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22 ideas

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 / 8. Logic of Mathematics
10035 Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
17505 Using proper names properly doesn't involve necessary and sufficient conditions [Putnam]
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]
9. Objects / D. Essence of Objects / 5. Essence as Kind
11908 Putnam bases essences on 'same kind', but same kinds may not share properties [Mackie,P on Putnam]
14. Science / B. Scientific Theories / 2. Aim of Science
17508 Science aims at truth, not at 'simplicity' [Putnam]
15. Nature of Minds / A. Nature of Mind / 8. Brain
23514 The cerbellum has a huge number of neurons, but little involvement in consciousness [Seth]
23513 Single neurons can carry out complex functions [Seth]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
23516 Maybe a system is conscious if the whole generates more information than its parts [Seth]
16. Persons / C. Self-Awareness / 2. Knowing the Self
23519 The self is embodied, perspectival, volitional, narrative and social [Seth, by PG]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
23518 Modern AI is mostly machine-based pattern recognition [Seth]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
17506 I now think reference by the tests of experts is a special case of being causally connected [Putnam]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
23517 Volition is felt as doing what you want, with possible alternatives, and a source from within [Seth]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
23515 Human exceptionalism plagues biology, and most other human thinking [Seth]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
17507 Natural kind stereotypes are 'strong' (obvious, like tiger) or 'weak' (obscure, like molybdenum) [Putnam]
11904 Express natural kinds as a posteriori predicate connections, not as singular terms [Putnam, by Mackie,P]