Combining Texts

All the ideas for 'reports', 'A Rsum of Metaphysics' and 'On boundary numbers and domains of sets'

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

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7 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]

10. Modality / A. Necessity / 8. Transcendental Necessity

3016	Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]

22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure

5049	Intelligent pleasure is the perception of beauty, order and perfection [Leibniz]

28. God / A. Divine Nature / 3. Divine Perfections

5048	Perfection is simply quantity of reality [Leibniz]

29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil

5050	Evil serves a greater good, and pain is necessary for higher pleasure [Leibniz]