Combining Texts

All the ideas for 'There Are No Abstract Objects', 'Principles of Theoretical Logic' and 'works'

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6 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]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

12427

All of mathematics is properties of the whole numbers [Kronecker]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

10091

God made the integers, all the rest is the work of man [Kronecker]

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 / 11. Denial of Necessity

14598

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