Combining Texts

All the ideas for 'On Truth and Lies in a Nonmoral Sense', 'The Idea of Equality' and 'What is Cantor's Continuum Problem?'

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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]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
20363 Leaves are unequal, but we form the concept 'leaf' by discarding their individual differences [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
3236 Equality of opportunity without equality of respect would create a very inhuman society [Williams,B]
25. Social Practice / B. Equalities / 1. Grounds of equality
3234 Equality seems to require that each person be acknowledged as having a significant point of view [Williams,B]
3233 Equality implies that people are alike in potential as well as in needs [Williams,B]
25. Social Practice / B. Equalities / 4. Economic equality
3235 It is a mark of extreme exploitation that the sufferers do not realise their plight [Williams,B]