Combining Philosophers

Ideas for H.Putnam/P.Oppenheim, Paul J. Cohen and R Kaplan / E Kaplan

expand these ideas     |    start again     |     choose another area for these philosophers

display all the ideas for this combination of philosophers

---

5 ideas

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

15712

1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]

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

15711

The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

15714

'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]

15715

'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

14248

We could accept the integers as primitive, then use sets to construct the rest [Cohen]