Combining Texts

Ideas for 'Precis of 'Limits of Abstraction'', 'The Boundary Stones of Thought' and 'Intro to 'Communitarianism and Individualism''

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

18842

Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18834

Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

18846

Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt]

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]