Combining Texts

All the ideas for 'reports', 'On boundary numbers and domains of sets' and 'Two Chief World Systems'

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

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5 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]

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]

27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion

19673

Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux]