Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Epistemic and Metaphysical Possibility' and 'Intros to Russell's 'Essays in Analysis''

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4 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox

21554

Sets always exceed terms, so all the sets must exceed all the sets [Lackey]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox

21553

It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]

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]

10. Modality / A. Necessity / 6. Logical Necessity

12185

Logical necessity is epistemic necessity, which is the old notion of a priori [Edgington, by McFetridge]