Combining Philosophers

All the ideas for Hilbert,D/Ackermann,W, Leucippus and Cian Dorr

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5 ideas

4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC

17750

The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta

14596

Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr]

8. Modes of Existence / E. Nominalism / 5. Class Nominalism

14597

Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr]

10. Modality / A. Necessity / 8. Transcendental Necessity

490	Everything happens by reason and necessity [Leucippus]

10. Modality / A. Necessity / 11. Denial of Necessity

14598

Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr]