Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Theology and Falsification' and 'Ontological Ground of Alethic Modality'

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10 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]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
9220 Lewis must specify that all possibilities are in his worlds, making the whole thing circular [Shalkowski, by Sider]
29. Religion / D. Religious Issues / 1. Religious Commitment / b. Religious Meaning
1466 Claims about God don't seem to claim or deny anything tangible, so evidence is irrelevant [Flew, by PG]
29. Religion / D. Religious Issues / 1. Religious Commitment / d. Religious Falsification
1465 You can't claim a patch of land is tended by a 'gardener' if there is no evidence, and all counter-evidence is rejected [Flew, by PG]
1467 Religious people seem unwilling to accept any evidence that God does not love us, so their claim is unfalsifiable [Flew, by PG]