Combining Texts

All the ideas for 'works', 'talk' and 'On the Nature of Mathematical Reasoning'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

15. Nature of Minds / C. Capacities of Minds / 2. Imagination

6901	Understanding is needed for imagination, just as much as the other way around [Betteridge]