Combining Texts

All the ideas for 'Sense Data and the Percept Theory', 'The Theory of Epistemic Rationality' and 'Introduction to Zermelo's 1930 paper'

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6 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]

13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism

19708

Rational internal belief is conviction that a proposition enhances a belief system [Foley, by Vahid]