Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Carl Friedrich Gauss and Seymour Lipschutz

expand these ideas     |    start again     |     specify just one area for these philosophers

---

3 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

10855

Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]

9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts

12887

A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]