Combining Texts

All the ideas for 'Letter to Shumacher', 'What is an Idea?' and 'On the Foundations of Logic and Arithmetic'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

10855

Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

17697

The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]

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

17698

Logic already contains some arithmetic, so the two must be developed together [Hilbert]

18. Thought / C. Content / 2. Ideas

19423

By an 'idea' I mean not an actual thought, but the resources we can draw on to think [Leibniz]