Combining Texts

All the ideas for 'fragments/reports', 'On the Nature of Mathematical Reasoning' and 'works'

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5 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Anti-realism needs an intuitionist logic with no law of excluded middle [Dummett, by Miller,A]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
7. Existence / D. Theories of Reality / 4. Anti-realism
For anti-realists there are no natural distinctions between objects [Dummett, by Benardete,JA]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]