Absolute Generality

Paperback | December 23, 2006

EditorAgustin Rayo, Gabriel Uzquiano

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Is it possible to quantify over absolutely all there is? Or must all of our quantifiers range over a less-than-all-inclusive domain? It has commonly been thought that the question of absolute generality is intimately connected with the set-theoretic antinomies. But the topic of absolutegenerality has enjoyed a surge of interest in recent years. It has become increasingly apparent that its ramifications extend well beyond the foundations of set theory. Connections include semantic indeterminacy, logical consequence, higher-order languages, and metaphysics.Rayo and Uzquiano present for the first time a collection of essays on absolute generality. These newly commissioned articles -- written by an impressive array of international scholars -- draw the reader into the forefront of contemporary research on the subject. The volume represents a variety ofapproaches to the problem, with some of the contributions arguing for the possibility of all-inclusive quantification and some of them arguing against it. An introduction by the editors draws a helpful map of the philosophical terrain.

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Is it possible to quantify over absolutely all there is? Or must all of our quantifiers range over a less-than-all-inclusive domain? It has commonly been thought that the question of absolute generality is intimately connected with the set-theoretic antinomies. But the topic of absolutegenerality has enjoyed a surge of interest in rece...

Agustin Rayo is at the Massachusetts Institute of Technology (MIT). Gabriel Uzquiano is at The Ohio State University.

other books by Agustin Rayo

The Construction of Logical Space
The Construction of Logical Space

Kobo ebook|Jun 27 2013

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Format:PaperbackDimensions:408 pages, 9.21 × 6.14 × 0.87 inPublished:December 23, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199276439

ISBN - 13:9780199276431

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Table of Contents

Agustin Rayo and Gabriel Uzquiano: Introduction1. Kit Fine: Relatively Unrestricted Quantification2. Michael Glanzberg: Context and Unrestricted Quantification3. Geoffrey Hellman: Against 'Absolutely Everything'!4. Shaughan Lavine: Something About Everything: Universal Quantification in the Universal Sense of Universal Quantification5. Oystein Linnebo: Sets, Properties, and Unrestricted Quantification6. Vann McGee: There's a Rule for Everything7. Charles Parsons: The Problem of Absolute Universality8. Agustin Rayo: Beyond Plurals9. Stewart Shapiro and Crispin Wright: All Things Indefinitely Extensible10. Gabriel Uzquiano: Unrestricted Unrestricted Quantification: The Cardinal Problem of Absolute Generality11. Alan Weir: Is it too much to ask, to ask for everything?12. Timothy Williamson: Absolute Identity and Absolute Generality

Editorial Reviews

"Rayo and Uzquiano have put together a fine collection of essays on this knotty issue.... The volume starts with a brief introduction by the editors, which nicely sets the scene. As one would expect from a bunch of logicians of this calibre, the essays are insightful, thought provoking, and often technically clever."--Graham Priest, Notre Dame Philosophical Reviews