Combining Philosophers

Ideas for Rayo,A/Uzquiasno,G, Michle Friend and Earl Conee

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7 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

8709	The law of excluded middle is syntactic; it just says A or not-A, not whether they are true or false [Friend]

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

13449

We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]

13450

Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

13453

Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

8711	Intuitionists read the universal quantifier as "we have a procedure for checking every..." [Friend]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes

8675	Paradoxes can be solved by talking more loosely of 'classes' instead of 'sets' [Friend]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox

8674	The Burali-Forti paradox asks whether the set of all ordinals is itself an ordinal [Friend]