Combining Texts

All the ideas for 'Reply to Foucher', 'Toward a Philosophy of History' 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]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

19406

I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]

7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)

20752

For man, being is not what he is, but what he is going to be [Ortega y Gassett]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

20756

Instead of having a nature, man only has a history [Ortega y Gassett]