Combining Philosophers
Ideas for Kretzmann/Stump, Plato and Anon (Dham)
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10 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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8726
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Geometry can lead the mind upwards to truth and philosophy [Plato]
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9867
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It is absurd to define a circle, but not be able to recognise a real one [Plato]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
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13155
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If you add one to one, which one becomes two, or do they both become two? [Plato]
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9865
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Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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9863
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We aim for elevated discussion of pure numbers, not attaching them to physical objects [Plato]
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9864
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In pure numbers, all ones are equal, with no internal parts [Plato]
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8727
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Geometry is not an activity, but the study of unchanging knowledge [Plato]
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10216
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We master arithmetic by knowing all the numbers in our soul [Plato]
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16150
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
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9861
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The same thing is both one and an unlimited number at the same time [Plato]
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