Combining Texts

All the ideas for 'A Résumé of Metaphysics', 'Introduction to Zermelo's 1930 paper' and 'Universals and Particulars'

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

---

8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication

4442	Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong]

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]