Combining Texts

All the ideas for 'Chomsky on himself', 'Introduction to 'Hippias Minor'' and 'The Development of Logic'

expand these ideas     |    start again     |     specify just one area for these texts

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3 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

10051

The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

9548	A mathematical object exists if there is no contradiction in its definition [Waterfield]

18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts

6649	Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]