Combining Philosophers

Ideas for Rescher,N/Oppenheim,P, George Boolos and Alvin Plantinga

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

14648

Could I name all of the real numbers in one fell swoop? Call them all 'Charley'? [Plantinga]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

10491

Infinite natural numbers is as obvious as infinite sentences in English [Boolos]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

10483

Mathematics and science do not require very high orders of infinity [Boolos]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

10833

Many concepts can only be expressed by second-order logic [Boolos]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10490

Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]