Combining Texts

All the ideas for 'fragments/reports', 'On boundary numbers and domains of sets' and 'Events and Semantic Architecture'

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]

9. Objects / E. Objects over Time / 8. Continuity of Rivers

579	Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

578	Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]

19. Language / B. Reference / 5. Speaker's Reference

21650

No language is semantically referential; it all occurs at the level of thought or utterance [Pietroski, by Hofweber]