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'Mahaprajnaparamitashastra', 'Intermediate Logic' and 'works'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
9147
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Number cannot be defined as addition of ones, since that needs the number; it is a single act of abstraction [Fine,K on Leibniz]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
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The continuum is not divided like sand, but folded like paper [Leibniz, by Arthur,R]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18080
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A tangent is a line connecting two points on a curve that are infinitely close together [Leibniz]
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18081
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Nature uses the infinite everywhere [Leibniz]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
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Ordinary or mathematical induction assumes for the first, then always for the next, and hence for all [Bostock]
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13359
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Complete induction assumes for all numbers less than n, then also for n, and hence for all numbers [Bostock]
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