Combining Texts

All the ideas for 'works', 'Commentary on 'Posterior Analytics'' and 'What Numbers Are'

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

---

4 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 / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance

16629

By comparing qualities and features, reason can gradually infer the nature of substance [Grosseteste]