Combining Texts

All the ideas for 'That Politics may be reduced to a Science', 'Introduction to Zermelo's 1930 paper' and 'Sense Data and the Percept Theory'

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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 / B. Perception / 4. Sense Data / d. Sense-data problems

6493	We are not conscious of pure liquidity, but of the liquidity of water [Firth]

23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship

21093

Friendship without community spirit misses out on the main part of virtue [Hume]

24. Political Theory / B. Nature of a State / 3. Constitutions

21091

It would be absurd if even a free constitution did not impose restraints, for the public good [Hume]

24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites

21092

Nobility either share in the power of the whole, or they compose the power of the whole [Hume]