Combining Texts

All the ideas for 'works', 'On boundary numbers and domains of sets' and 'The Poetics'

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 / G. Quantification / 2. Domain of Quantification

17743

De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

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]

10. Modality / B. Possibility / 1. Possibility

22518

The actual must be possible, because it occurred [Aristotle]

21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature

16566

Poetry is more philosophic than history, as it concerns universals, not particulars [Aristotle]