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Ideas for
'Wiener Logik', 'works' and 'Modern Philosophy:introduction and survey'
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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 / 4. Using Numbers / c. Counting procedure
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3907
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Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]
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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 / b. Intuitionism
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3908
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If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]
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