Combining Texts

All the ideas for 'fragments/reports', 'What is Cantor's Continuum Problem?' and 'Pragmatism and Objective Truth'

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12 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19086 Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
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 / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
19093 Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
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]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
579 Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
578 Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]
14. Science / B. Scientific Theories / 1. Scientific Theory
19091 Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
19088 For pragmatists a concept means its consequences [Macbeth]