Combining Texts

All the ideas for 'The Lagoon: how Aristotle invented science', 'Remembrance of Things Past' and 'On boundary numbers and domains of sets'

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

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5 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy

21355

The Pre-Socratics are not simple naturalists, because they do not always 'leave the gods out' [Leroi]

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]

18. Thought / B. Mechanics of Thought / 3. Modularity of Mind

7845	When we need to do something, we depute an inner servant to remind us of it [Proust]