Combining Philosophers
Ideas for Robert Hanna, Isaac Newton and Karl Weierstrass
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6 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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18079
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Newton developed a kinematic approach to geometry [Newton, by Kitcher]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
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13152
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We can talk of 'innumerable number', about the infinite points on a line [Newton]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
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13151
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Not all infinites are equal [Newton]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
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18086
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Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
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18082
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Quantities and ratios which continually converge will eventually become equal [Newton]
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18092
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Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
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