Combining Texts

Ideas for 'fragments/reports', 'Thinking About Logic' and 'Introduction to 'Absolute Generality''

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5 ideas

5. Theory of Logic / G. Quantification / 1. Quantification

11007

Quantifiers are second-order predicates [Read]

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

10978

In second-order logic the higher-order variables range over all the properties of the objects [Read]

13453

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