Combining Texts

All the ideas for 'What Numbers Are', 'Sentences' and 'Frege on Apriority (with ps)'

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6 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

16728

Logicians acknowledge too few things, while others acknowledge too many [Fitzralph]

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 / 2. Geometry

16901

The equivalent algebra model of geometry loses some essential spatial meaning [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]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

16902

Peano arithmetic requires grasping 0 as a primitive number [Burge]

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

16892

Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]