Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'What Numbers Are' and 'The Barcan Formula and Metaphysics'

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7 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

16186

The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]

16187

The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]

16190

BF implies that if W possibly had a child, then something is possibly W's child [Simchen]

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

17447

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

17812

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

10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism

16188

Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]