Combining Philosophers
Ideas for Hermarchus, E.J. Lowe and Euclid
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5 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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4240
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It might be argued that mathematics does not, or should not, aim at truth [Lowe]
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6. Mathematics / A. Nature of Mathematics / 2. Geometry
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6297
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Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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9603
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An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
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9894
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A unit is that according to which each existing thing is said to be one [Euclid]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
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8738
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Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
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