Combining Philosophers

Ideas for Douglas Lackey, Lynn Holt and Tim Button

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3 ideas

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

18694

Permutation Theorem: any theory with a decent model has lots of models [Button]

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]