Combining Texts

All the ideas for 'Philosophical Explanations', 'On the Nature of Moral Values' and 'What is Cantor's Continuum Problem?'

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12 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
21750 Science is sympathetic to truth as correspondence, since it depends on observation [Quine]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
3570 Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
2748 A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]
14. Science / C. Induction / 2. Aims of Induction
21748 More careful inductions gradually lead to the hypothetico-deductive method [Quine]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
21749 Altruistic values concern other persons, and ceremonial values concern practices [Quine]
22. Metaethics / B. Value / 2. Values / g. Love
21751 Love seems to diminish with distance from oneself [Quine]