Combining Texts

All the ideas for 'Amphitheatrum', 'Conceptions of Consequence' and 'What Numbers Are'

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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]

11. Knowledge Aims / A. Knowledge / 2. Understanding

18810

Aristotle's proofs give understanding, so it can't be otherwise, so consequence is necessary [Smiley, by Rumfitt]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter

16591

Prime matter is nothing but its parts [Vanini]