Combining Texts

Ideas for 'Set Theory', 'works' and 'Truth by Convention'

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9 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Quine quickly dismisses If-thenism [Quine, by Musgrave]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey]
Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine]
Logic isn't conventional, because logic is needed to infer logic from conventions [Quine]
If a convention cannot be communicated until after its adoption, what is its role? [Quine]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
If we had to name objects to make existence claims, we couldn't discuss all the real numbers [Quine]
5. Theory of Logic / G. Quantification / 1. Quantification
No sense can be made of quantification into opaque contexts [Quine, by Hale]
Finite quantification can be eliminated in favour of disjunction and conjunction [Quine, by Dummett]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quine thought substitutional quantification confused use and mention, but then saw its nominalist appeal [Quine, by Marcus (Barcan)]