Combining Texts

All the ideas for 'On boundary numbers and domains of sets', 'Paradoxes of the Infinite' and 'Moral Luck'

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6 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9987	An aggregate in which order does not matter I call a 'set' [Bolzano]

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 / a. The Infinite

10856

A truly infinite quantity does not need to be a variable [Bolzano]

22. Metaethics / C. The Good / 1. Goodness / i. Moral luck

23282

If all that matters in morality is motive and intention, that makes moral luck irrelevant [Williams,B]