Combining Texts

All the ideas for 'Issues of Pragmaticism', 'Aquinas, Thomas' 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 / 2. Demonstration
Demonstration provides depth of understanding and explanation (rather than foundations) [Kretzmann/Stump]
19. Language / A. Nature of Meaning / 1. Meaning
The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]