Combining Texts

All the ideas for 'poems', 'What is Cantor's Continuum Problem?' and 'Critique of Judgement II: Teleological'

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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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
6017 Nomos is king [Pindar]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
18239 What is contemplated must have a higher value than contemplation [Kant, by Korsgaard]
18238 Only a good will can give man's being, and hence the world, a final purpose [Kant]
26. Natural Theory / A. Speculations on Nature / 1. Nature
22053 The Critique of Judgement aims for a principle that unities humanity and nature [Kant, by Bowie]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
18237 Without men creation would be in vain, and without final purpose [Kant]