Combining Texts

All the ideas for 'The Psychophysical Nexus', 'On boundary numbers and domains of sets' and 'Aspects of the Theory of Syntax'

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

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5 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]

7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience

4242	Pure supervenience explains nothing, and is a sign of something fundamental we don't know [Nagel]

19. Language / C. Assigning Meanings / 1. Syntax

18006

Chomsky's 'interpretative semantics' says syntax comes first, and is then interpreted [Chomsky, by Magidor]