Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Recent Work on Consciousness' and 'Knowing One's Own Mind'

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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
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
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
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
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
15. Nature of Minds / B. Features of Minds / 3. Privacy
A full neural account of qualia will give new epistemic access to them, beyond private experience [Churchlands]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
It is question-begging to assume that qualia are totally simple, hence irreducible [Churchlands]
The qualia Hard Problem is easy, in comparison with the co-ordination of mental states [Churchlands]
18. Thought / C. Content / 6. Broad Content
External identification doesn't mean external location, as with sunburn [Davidson, by Rowlands]