Combining Texts

All the ideas for 'On boundary numbers and domains of sets', 'De arcanus motus' and 'Specimen inventorum'

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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]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
12733 Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]
10. Modality / A. Necessity / 2. Nature of Necessity
12734 Every necessary proposition is demonstrable to someone who understands [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
12729 The cause of a change is not the real influence, but whatever gives a reason for the change [Leibniz]