Combining Philosophers

Ideas for Kurt Vonnegut, Alex Orenstein and Gerhard Gentzen

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3 ideas

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 / g. Incompleteness of Arithmetic

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

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]