Combining Texts

All the ideas for 'Letters to Edward Stillingfleet', 'What Numbers Are' and 'Frege on Knowing the Foundations'

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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]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17622

We come to believe mathematical propositions via their grounding in the structure [Burge]

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]

9. Objects / D. Essence of Objects / 3. Individual Essences

15990

Every individual thing which exists has an essence, which is its internal constitution [Locke]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

15994

If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]