Combining Texts

All the ideas for 'fragments/reports', 'What Numbers Are' and 'De aequopollentia causae et effectus'

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4 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Everything has a fixed power, as required by God, and by the possibility of reasoning [Leibniz]
27. Natural Reality / G. Biology / 1. Biology
Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]