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Ideas for 'Precis of 'Limits of Abstraction'', 'Grounding Concepts' and 'fragments/reports'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17730

Combining the concepts of negation and finiteness gives the concept of infinity [Jenkins]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

10529

If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

17719

Arithmetic concepts are indispensable because they accurately map the world [Jenkins]

17717

Senses produce concepts that map the world, and arithmetic is known through these concepts [Jenkins]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

17724

It is not easy to show that Hume's Principle is analytic or definitive in the required sense [Jenkins]