Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', '06: Epistle to the Romans' and 'Introduction to Zermelo's 1930 paper'

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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]

12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge

5052	When Gentiles follow the law, they must have the law written in their hearts [Paul]

15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories

3158	Theories of intentionality presuppose rationality, so can't explain it [Dennett]

17. Mind and Body / B. Behaviourism / 3. Intentional Stance

3159	Beliefs and desires aren't real; they are prediction techniques [Dennett]

24. Political Theory / D. Ideologies / 10. Theocracy

7572	Power is ordained by God, so anyone who resists power resists God, and will be damned [Paul]