Combining Texts

All the ideas for 'Two Problems of Epistemology', 'fragments/reports' and 'What Numbers Are'

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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]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Xenocrates held that the soul had no form or substance, but was number [Xenocrates, by Cicero]