Unrestricted Quantification

Philosophy Compass 9 (7):441-454 (2014)
Authors
Salvatore Florio
University of Birmingham
Abstract
Semantic interpretations of both natural and formal languages are usually taken to involve the specification of a domain of entities with respect to which the sentences of the language are to be evaluated. A question that has received much attention of late is whether there is unrestricted quantification, quantification over a domain comprising absolutely everything there is. Is there a discourse or inquiry that has absolute generality? After framing the debate, this article provides an overview of the main arguments for and against the possibility of unrestricted quantification, highlighting some of the broader implications of the debate
Keywords unrestricted quantification  absolute generality  paradox  set theory  type theory
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DOI 10.1111/phc3.12127
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References found in this work BETA

Parts of Classes.David Lewis - 1991 - Blackwell.
On Quantifier Domain Restriction.Jason Stanley & Zoltan Gendler Szabó - 2000 - Mind and Language 15 (2-3):219-261.
Truth and the Absence of Fact.Hartry Field - 2001 - Oxford University Press.
Logic, Logic and Logic.George Boolos - 1998 - Harvard University Press.

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Citations of this work BETA

The World is the Totality of Facts, Not of Things.Agustín Rayo - 2017 - Philosophical Issues 27 (1):250-278.
Maximality Principles in Set Theory.Luca Incurvati - 2017 - Philosophia Mathematica 25 (2):159-193.

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