Combining Texts

All the ideas for 'Concerning the Trinity', 'Rechnungsmethoden (dissertation)' and 'What Numbers Are'

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5 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 / 3. Nature of Numbers / c. Priority of numbers

18256

Quantity is inconceivable without the idea of addition [Frege]

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 / C. Sources of Mathematics / 2. Intuition of Mathematics

9831	Geometry appeals to intuition as the source of its axioms [Frege]

7. Existence / E. Categories / 1. Categories

16661

There are two sorts of category - referring to things, and to circumstances of things [Boethius]