Combining Texts

All the ideas for 'The Nature of Thought', 'The Bacchae' and 'Intuitionism and Formalism'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Our ancient beliefs can never be overthrown by subtle arguments [Euripides]
2. Reason / A. Nature of Reason / 6. Coherence
Full coherence might involve consistency and mutual entailment of all propositions [Blanshard, by Dancy,J]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Coherence tests for truth without implying correspondence, so truth is not correspondence [Blanshard, by Young,JO]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]