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'The Evolution of Modern Metaphysics', 'works' and 'Elements of Intuitionism'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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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 / c. Potential infinite
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15938
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Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
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19375
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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
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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 / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
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15939
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For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
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