Combining Philosophers

All the ideas for Anaxarchus, Nicholas P. White and Haskell B. Curry

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

---

6 ideas

5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic

17807

To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

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

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

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

17806

It is untenable that mathematics is general physical truths, because it needs infinity [Curry]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

17808

Saying mathematics is logic is merely replacing one undefined term by another [Curry]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

3061	Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]