Combining Philosophers

Ideas for Oliver,A/Smiley,T, Rayo,A/Uzquiasno,G and Daniel Garber

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5 ideas

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 / 6. Plural Quantification

14234

If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]

14237

We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]