Combining Philosophers

Ideas for Eubulides, Bernard Linsky and Willard Quine

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12 ideas

5. Theory of Logic / G. Quantification / 1. Quantification
9015 Universal quantification is widespread, but it is definable in terms of existential quantification [Quine]
10926 Quantifying into referentially opaque contexts often produces nonsense [Quine]
10922 Objects are the values of variables, so a referentially opaque context cannot be quantified into [Quine]
10311 No sense can be made of quantification into opaque contexts [Quine, by Hale]
10538 Finite quantification can be eliminated in favour of disjunction and conjunction [Quine, by Dummett]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
10793 Quine thought substitutional quantification confused use and mention, but then saw its nominalist appeal [Quine, by Marcus (Barcan)]
10801 Either reference really matters, or we don't need to replace it with substitutions [Quine]
21642 If quantification is all substitutional, there is no ontology [Quine]
9025 You can't base quantification on substituting names for variables, if the irrationals cannot all be named [Quine]
9026 Some quantifications could be false substitutionally and true objectually, because of nameless objects [Quine]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
10705 Putting a predicate letter in a quantifier is to make it the name of an entity [Quine]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
12798 Plurals can in principle be paraphrased away altogether [Quine]