Combining Philosophers

Ideas for Douglas Lackey, Hilbert,D/Ackermann,W and Charles Chihara

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4 ideas

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

9561	The mathematics of relations is entirely covered by ordered pairs [Chihara]

5. Theory of Logic / K. Features of Logics / 2. Consistency

9552	Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]

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]