Combining Texts

All the ideas for 'reports', 'On boundary numbers and domains of sets' and 'Substance'

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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]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
15391 A substance is, roughly, a basic being or subject at the foundation of reality [Robb]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
15392 If an object survives the loss of a part, complex objects can have autonomy over their parts [Robb]
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
1743 The greatest deterrence for injustice is if uninjured parties feel as much indignation as those who are injured [Solon, by Diog. Laertius]