Combining Philosophers

All the ideas for Douglas Lackey, Arend Heyting and John M. Cooper

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4 ideas

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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
The Greek 'philia' covers all good and fruitful relationships [Cooper,JM]