Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Natural Science (lost)' and 'On the Concept of Character'

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11 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
8679 We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
9942 Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
18062 Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10868 The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
13517 If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
10271 Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
527 Everything exists which anyone perceives [Metrodorus of Chios]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
23896 We see our character as a restricting limit, but also as an unshakable support [Weil]
23894 The concept of character is at the centre of morality [Weil]
23893 We don't see character in a single moment, but only over a period of time [Weil]
23895 We modify our character by placing ourselves in situations, or by attending to what seems trivial [Weil]