Combining Philosophers
Ideas for Augustin-Louis Cauchy, Numenius and Michael Morris
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5 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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23460
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To count, we must distinguish things, and have a series with successors in it [Morris,M]
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23451
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Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
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23452
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Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
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18085
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Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
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18084
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When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
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