The mental representation of universal quantifiers

Linguistics and Philosophy 45 (4):911-941 (2022)
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Abstract

A sentence like every circle is blue might be understood in terms of individuals and their properties or in terms of a relation between groups. Relatedly, theorists can specify the contents of universally quantified sentences in first-order or second-order terms. We offer new evidence that this logical first-order vs. second-order distinction corresponds to a psychologically robust individual vs. group distinction that has behavioral repercussions. Participants were shown displays of dots and asked to evaluate sentences with each, every, or all combined with a predicate. We find that participants are better at estimating how many things the predicate applied to after evaluating sentences in which universal quantification is indicated with every or all, as opposed to each. We argue that every and all are understood in second-order terms that encourage group representation, while each is understood in first-order terms that encourage individual representation. Since the sentences that participants evaluate are truth-conditionally equivalent, our results also bear on questions concerning how meanings are related to truth-conditions.

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Author Profiles

Justin Halberda
Johns Hopkins University
Paul Pietroski
Rutgers - New Brunswick

Citations of this work

A Simple Logic of Concepts.Thomas F. Icard & Lawrence S. Moss - 2022 - Journal of Philosophical Logic 52 (3):705-730.
Replies to Critics.Paul Pietroski - 2022 - Philosophy and Phenomenological Research 105 (3):752-764.

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References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
Knowledge of Language: Its Nature, Origin, and Use.Noam Chomsky - 1986 - Prager. Edited by Darragh Byrne & Max Kölbel.
The origin of concepts.Susan Carey - 2009 - New York: Oxford University Press.
Naming and Necessity.Saul Kripke - 1980 - Philosophy 56 (217):431-433.

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