Combining Philosophers

Ideas for James Rachels, Alex Orenstein and Charles Sanders Peirce

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

display all the ideas for this combination of philosophers

---

6 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 / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

14775

Numbers are just names devised for counting [Peirce]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

14776

That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce]

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

14788

Mathematics is close to logic, but is even more abstract [Peirce]

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

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism

19226

We now know that mathematics only studies hypotheses, not facts [Peirce]