Combining Texts

All the ideas for 'Contrib to Critique of Hegel's Phil of Right', 'Reply to Sixth Objections' and 'Introduction to Zermelo's 1930 paper'

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10 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 / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience

3644	Two things being joined together doesn't prove they are the same [Descartes]

13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism

3621	Only judgement decides which of our senses are reliable [Descartes]

24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution

21991

The middle class gain freedom through property, but workers can only free all of humanity [Marx, by Singer]

21990

Theory is as much a part of a revolution as material force is [Marx]

28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality

3637	Ideas in God's mind only have value if he makes it so [Descartes]

29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief

7128	Religion is the opium of the people, and real happiness requires its abolition [Marx]