Combining Philosophers

All the ideas for Carl Ginet, Michael Hallett and Nicholas Rescher

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9 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 / B. Change in Existence / 2. Processes

22626

Process philosophy insists that processes are not inferior in being to substances [Rescher]

9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects

10650

In the military, persons are parts of parts of large units, but not parts of those large units [Rescher]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues

8836	Must all justification be inferential? [Ginet]

8837	Inference cannot originate justification, it can only transfer it from premises to conclusion [Ginet]

27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement

20365

We only see points in motion, and thereby infer movement [Rescher]