Absolute Generality

Front Cover
Agustín Rayo, Gabriel Uzquiano
Clarendon Press, Nov 23, 2006 - Philosophy - 408 pages
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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 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.
 

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Contents

1 Introduction
1
2 Relatively Unrestricted Quantification
20
3 Context and Unrestricted Quantification
45
4 Against Absolutely Everything
75
Universal Quantification in the Universal Sense of Universal Quantification
98
6 Sets Properties and Unrestricted Quantification
149
7 Theres a Rule for Everything
179
8 The Problem of Absolute Universality
203
9 Beyond Plurals
220
10 All Things Indefinitely Extensible
255
The Cardinal Problem of Absolute Generality
305
12 Is it too much to Ask to Ask for Everything?
333
13 Absolute Identity and Absolute Generality
369
Index
391
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Saving Truth From Paradox
Hartry Field
No preview available - 2008

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