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Ideas for 'works', 'Logic in Mathematics' and 'W.V. Quine'

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

16869

To create order in mathematics we need a full system, guided by patterns of inference [Frege]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

8454	The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

16864

If principles are provable, they are theorems; if not, they are axioms [Frege]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

8473	The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein]