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All the ideas for 'Russell's Mathematical Logic', 'On the Nature of Moral Values' and 'poems (frags)'

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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]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
21750 Science is sympathetic to truth as correspondence, since it depends on observation [Quine]
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]
14. Science / C. Induction / 2. Aims of Induction
21748 More careful inductions gradually lead to the hypothetico-deductive method [Quine]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
21749 Altruistic values concern other persons, and ceremonial values concern practices [Quine]
22. Metaethics / B. Value / 2. Values / g. Love
21751 Love seems to diminish with distance from oneself [Quine]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
3015 The virtue of man is thoughtful foresight of future events [Chilo, by Diog. Laertius]