Combining Philosophers

All the ideas for Douglas Lackey, Paul M. Pietroski and Oswald Veblen

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4 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

10247

We have no adequate logic at the moment, so mathematicians must create one [Veblen]

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]

19. Language / B. Reference / 5. Speaker's Reference

21650

No language is semantically referential; it all occurs at the level of thought or utterance [Pietroski, by Hofweber]