Combining Philosophers
Ideas for Augustin-Louis Cauchy, Carrie Jenkins and Collegium Conimbricense
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6 ideas
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
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17730
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Combining the concepts of negation and finiteness gives the concept of infinity [Jenkins]
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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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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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17719
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Arithmetic concepts are indispensable because they accurately map the world [Jenkins]
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17717
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Senses produce concepts that map the world, and arithmetic is known through these concepts [Jenkins]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
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17724
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It is not easy to show that Hume's Principle is analytic or definitive in the required sense [Jenkins]
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