Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'The Logical Structure of the World (Aufbau)'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

23367

Even pointing a finger should only be done for a reason [Epictetus]

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]

14. Science / B. Scientific Theories / 1. Scientific Theory

18699

Carnap tried to define all scientific predicates in terms of primitive relations, using type theory [Carnap, by Button]

18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism

12131

All concepts can be derived from a few basics, making possible one science of everything [Carnap, by Brody]