Combining Texts

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

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7 ideas

2. Reason / C. Styles of Reason / 1. Dialectic

20768

Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius]

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]

21. Aesthetics / B. Nature of Art / 4. Art as Expression

8120	Objects can be beautiful which express nothing at all, such as the rainbow [Herbart, by Tolstoy]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean

3049	The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius]

23. Ethics / D. Deontological Ethics / 1. Deontology

3549	Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas]