Combining Texts

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

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6 ideas

4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
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
Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr]
10. Modality / A. Necessity / 11. Denial of Necessity
Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
If we are rebuilding our ship at sea, we should jettison some cargo [Boolos on Neurath]
We must always rebuild our ship on the open sea; we can't reconstruct it properly in dry-dock [Neurath]