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Ideas for
'Nature and Observability of Causal Relations', 'works' and 'Causal Powers'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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15273
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Points can be 'dense' by unending division, but must meet a tougher criterion to be 'continuous' [Harré/Madden]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
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15274
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Points are 'continuous' if any 'cut' point participates in both halves of the cut [Harré/Madden]
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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 / 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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