Combining Philosophers

All the ideas for Andreas Osiander, Michael Hallett and David M. Rosenthal

expand these ideas     |    start again     |     specify just one area for these philosophers

---

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]

14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations

15282

Facts should be deducible from the theory and initial conditions, and prefer the simpler theory [Osiander, by Harré/Madden]

16. Persons / C. Self-Awareness / 1. Introspection

5692	Introspection is not perception, because there are no extra qualities apart from the mental events themselves [Rosenthal]