Absolute Generality
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Product details:
- Publisher OUP Oxford
- Date of Publication 23 November 2006
- ISBN 9780199276424
- Binding Hardback
- No. of pages408 pages
- Size 240x164x28 mm
- Weight 738 g
- Language English 0
Categories
Short description:
The problem of absolute generality has attracted much attention in recent philosophy. Agustin Rayo and Gabriel Uzquiano have assembled a distinguished team of contributors to write new essays on the topic. They investigate the question of whether it is possible to attain absolute generality in thought and language and the ramifications of this question in the philosophy of logic and mathematics.
MoreLong description:
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 absolute generality 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 of approaches 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.
Table of Contents:
Introduction
Relatively Unrestricted Quantification
Context and Unrestricted Quantification
Against 'Absolutely Everything'!
Something About Everything: Universal Quantification in the Universal Sense of Universal Quantification
Sets, Properties, and Unrestricted Quantification
There's a Rule for Everything
The Problem of Absolute Universality
Beyond Plurals
All Things Indefinitely Extensible
Unrestricted Unrestricted Quantification: The Cardinal Problem of Absolute Generality
Is it too much to ask, to ask for everything?
Absolute Identity and Absolute Generality