Combining Philosophers

All the ideas for Andreas Osiander, Michael Hallett and A.W. Moore

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7 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics

21959

Metaphysics is the most general attempt to make sense of things [Moore,AW]

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]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

21958

Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]

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]