Sets, properties, and unrestricted quantification

In Gabriel Uzquiano & Agustin Rayo (eds.), Absolute Generality. Oxford University Press. pp. 149--178 (2006)
  Copy   BIBTEX

Abstract

Call a quantifier unrestricted if it ranges over absolutely all things: not just over all physical things or all things relevant to some particular utterance or discourse but over absolutely everything there is. Prima facie, unrestricted quantification seems to be perfectly coherent. For such quantification appears to be involved in a variety of claims that all normal human beings are capable of understanding. For instance, some basic logical and mathematical truths appear to involve unrestricted quantification, such as the truth that absolutely everything is self-identical and the truth that the empty set has absolutely no members. Various metaphysical views too appear to involve unrestricted quantification, such as the physicalist view that absolutely everything is physical.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Beyond Plurals.Agust\’in Rayo - 2006 - In Agust\’in Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press. pp. 220--54.
Context and unrestricted quantification.Michael Glanzberg - 2006 - In A. Rayo & G. Uzquiano (eds.), Absolute Generality. Oxford University Press. pp. 45--74.
Relatively Unrestricted Quantification.Kit Fine - 2006 - In Agustín Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press. pp. 20-44.
Unrestricted Composition and Restricted Quantification.Daniel Z. Korman - 2008 - Philosophical Studies 140 (3):319-334.
Is 'everything' precise?Dan López de Sa - 2006 - Dialectica 60 (4):397–409.
Unrestricted Unrestricted Quantification: the cardinal problem of absolute generality.Gabriel Uzquiano - 2006 - In Agustín Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press. pp. 305--32.

Analytics

Added to PP
2009-01-28

Downloads
47 (#297,283)

6 months
1 (#1,027,696)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Øystein Linnebo
University of Oslo

Citations of this work

Nominalist Realism.Nicholas K. Jones - 2018 - Noûs 52 (4):808-835.
A fictionalist theory of universals.Tim Button & Robert Trueman - forthcoming - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
Unrestricted Quantification and the Structure of Type Theory.Salvatore Florio & Nicholas K. Jones - 2021 - Philosophy and Phenomenological Research 102 (1):44-64.
On Type Distinctions and Expressivity.Salvatore Florio - 2023 - Proceedings of the Aristotelian Society 123 (2):150-172.

View all 27 citations / Add more citations

References found in this work

No references found.

Add more references