Combining Philosophers

Ideas for H.Putnam/P.Oppenheim, Douglas Lackey and Wallace, J

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3 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is just a variant of Tarski's account [Wallace, by Baldwin]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
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
It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]