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Ideas for 'A Résumé of Metaphysics', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'On the Nature of Mathematical Reasoning'

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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

18252

Real numbers are ratios of quantities, such as lengths or masses [Frege]

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

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