Combining Texts

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

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15 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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
What knowledge is required to live well? [Plato]
22. Metaethics / C. The Good / 1. Goodness / e. Good as knowledge
Only knowledge of some sort is good [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
Something which lies midway between two evils is better than either of them [Plato]