Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'What Numbers Are' and 'There is no a Priori'

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6 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 / 4. Using Numbers / c. Counting procedure

17812

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

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

9354	Why should necessities only be knowable a priori? That Hesperus is Phosporus is known empirically [Devitt]

12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts

9353	We explain away a priori knowledge, not as directly empirical, but as indirectly holistically empirical [Devitt]

12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori

9356	The idea of the a priori is so obscure that it won't explain anything [Devitt]