Combining Texts

All the ideas for 'Natural Science (lost)', 'Presidential Address of Am. Math. Soc' and 'On the Nature of Mathematical Reasoning'

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3 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
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 / A. Nature of Existence / 6. Criterion for Existence
Everything exists which anyone perceives [Metrodorus of Chios]