Combining Texts

All the ideas for 'Chomsky on himself', 'De Mundo Praesenti' and 'On boundary numbers and domains of sets'

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

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6 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17832

Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII

13028

Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]

5. Theory of Logic / L. Paradox / 3. Antinomies

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]

8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence

12714

The substantial form is the principle of action or the primitive force of acting [Leibniz]

9. Objects / D. Essence of Objects / 1. Essences of Objects

12743

A true being must (unlike a chain) have united parts, with a substantial form as its subject [Leibniz]

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]