Quantifier Variance Dissolved
Royal Institute of Philosophy Supplement 82:289-307 (2018)
Abstract
Quantifier variance faces a number of difficulties. In this paper we first formulate the view as holding that the meanings of the quantifiers may vary, and that languages using different quantifiers may be charitably translated into each other. We then object to the view on the basis of four claims: (i) quantifiers cannot vary their meaning extensionally by changing the domain of quantification; (ii) quantifiers cannot vary their meaning intensionally without collapsing into logical pluralism; (iii) quantifier variance is not an ontological doctrine; (iv) quantifier variance is not compatible with charitable translation and as such is internally inconsistent. In light of these troubles, we recommend the dissolution of quantifier variance and suggest that the view be laid to rest.Author's Profile
DOI
10.1017/s135824611800005x
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Citations of this work
Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
Quantifier Variance.Eli Hirsch & Jared Warren - 2019 - In The Routledge Handbook of Philosophy of Relativism. New York: pp. 349-357.
Quantifier variance, semantic collapse, and “genuine” quantifiers.Jared Warren - 2022 - Philosophical Studies 179 (3):745-757.
Quantifier Variance Dissolved – Addendum.Suki Finn & Otávio Bueno - 2019 - Royal Institute of Philosophy Supplement 85:273-273.
References found in this work
Logical pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
Incompleteness, non locality and realism. A prolegomenon to the philosophy of quantum mechanics.Michael Redhead - 1987 - Revue Philosophique de la France Et de l'Etranger 180 (4):712-713.