Combining Texts

All the ideas for 'Reply to Foucher', 'What Numbers Are' and 'Tarski on Truth and Logical Consequence'

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5 ideas

3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth

19323

'Snow is white' depends on meaning; whether snow is white depends on snow [Etchemendy]

3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth

19137

We can get a substantive account of Tarski's truth by adding primitive 'true' to the object language [Etchemendy]

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 / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

19406

I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]