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Ideas for 'fragments/reports', 'Universal Arithmetick' and 'On the Nature of Mathematical Reasoning'

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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]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

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A number is not a multitude, but a unified ratio between quantities [Newton]