Combining Texts

Ideas for 'Through the Looking Glass', 'On the Frame of Reference' and 'Introduction to 'Absolute Generality''

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4 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 / 4. Substitutional Quantification

10009

Substitutional quantification is just a variant of Tarski's account [Wallace, by Baldwin]

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]