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All the ideas for 'Russell's Mathematical Logic', 'Beitrage' and 'works'

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16 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
22070 Irony is consciousness of abundant chaos [Schlegel,F]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
22069 Plato has no system. Philosophy is the progression of a mind and development of thoughts [Schlegel,F]
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
22068 Poetry is transcendental when it connects the ideal to the real [Schlegel,F]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9145 We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
22030 For poets free choice is supreme [Schlegel,F]
22. Metaethics / B. Value / 2. Values / g. Love
22071 True love is ironic, in the contrast between finite limitations and the infinity of love [Schlegel,F]
23. Ethics / F. Existentialism / 3. Angst
22029 Irony is the response to conflicts of involvement and attachment [Schlegel,F, by Pinkard]