Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Philosophy and the Nature of Language' and 'fragments/reports'

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20 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 / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
4568 If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE]
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]
7. Existence / E. Categories / 5. Category Anti-Realism
4574 If some peoples do not have categories like time or cause, they can't be essential features of rationality [Cooper,DE]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
4573 If it is claimed that language correlates with culture, we must be able to identify the two independently [Cooper,DE]
4575 A person's language doesn't prove their concepts, but how are concepts deduced apart from language? [Cooper,DE]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
4561 Many sentences set up dispositions which are irrelevant to the meanings of the sentences [Cooper,DE]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
4564 I can meaningfully speculate that humans may have experiences currently impossible for us [Cooper,DE]
4565 The verification principle itself seems neither analytic nor verifiable [Cooper,DE]
19. Language / A. Nature of Meaning / 6. Meaning as Use
4563 'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE]
4562 Most people know how to use the word "Amen", but they do not know what it means [Cooper,DE]
19. Language / B. Reference / 1. Reference theories
4571 Reference need not be a hit-or-miss affair [Cooper,DE]
4566 Any thesis about reference is also a thesis about what exists to be referred to [Cooper,DE]
19. Language / C. Assigning Meanings / 3. Predicates
4572 If predicates name things, that reduces every sentence to a mere list of names [Cooper,DE]
19. Language / E. Analyticity / 2. Analytic Truths
4576 An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
5996 Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]