Combining Texts

All the ideas for 'Reason, Emotions and Good Life', 'Introduction to Zermelo's 1930 paper' and 'Possible Worlds'

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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]

7. Existence / A. Nature of Existence / 2. Types of Existence

15789

Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis]

10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism

15790

Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis]

15791

What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis]

20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason

4316	Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham]