Combining Texts

All the ideas for 'Recent Debates on the A Priori', 'Intro to 2nd ed of Principia Mathematica' and 'Completeness of Axioms of Logic'

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3 ideas

4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC

17751

Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]

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

9226	If mathematical theories conflict, it may just be that they have different subject matter [Field,H]

7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms

21681

Given all true atomic propositions, in theory every other truth can thereby be deduced [Russell]