Combining Philosophers

All the ideas for Carl Friedrich Gauss, David Robb and Nicholas P. White

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

---

5 ideas

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 / 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 / B. Unity of Objects / 2. Substance / d. Substance defined

15391

A substance is, roughly, a basic being or subject at the foundation of reality [Robb]

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

15392

If an object survives the loss of a part, complex objects can have autonomy over their parts [Robb]