Combining Texts

All the ideas for 'works', 'There are no ordinary things' 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]

7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic

9052	Vague predicates lack application; there are no borderline cases; vague F is not F [Unger, by Keefe/Smith]

9. Objects / A. Existence of Objects / 5. Simples

16070

There are no objects with proper parts; there are only mereological simples [Unger, by Wasserman]

29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy

16713

Philosophers are the forefathers of heretics [Tertullian]

29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism

6610	I believe because it is absurd [Tertullian]