Combining Philosophers
Ideas for Melvin Fitting, Roger Scruton and Carrie Jenkins
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6 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
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Combining the concepts of negation and finiteness gives the concept of infinity [Jenkins]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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Arithmetic concepts are indispensable because they accurately map the world [Jenkins]
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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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It is not easy to show that Hume's Principle is analytic or definitive in the required sense [Jenkins]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
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If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]
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