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All the ideas for 'Tropes', 'Russell's Mathematical Logic' and 'Contributions to Philosophy'

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14 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 / 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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
10467 Individuals consist of 'compresent' tropes [Bacon,John]
10464 A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John]
10465 Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
10466 Maybe possible worlds are just sets of possible tropes [Bacon,John]
23. Ethics / F. Existentialism / 4. Boredom
20767 Culture is now dominated by boredom, so universal it is unnoticed [Heidegger, by Aho]