Absolute Generality

Absolute Generality

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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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Product details

  • Hardback | 408 pages
  • 164 x 240 x 28mm | 738g
  • Clarendon Press
  • Oxford, United Kingdom
  • English
  • 0199276420
  • 9780199276424

Table of contents

Introduction ; 1. Relatively Unrestricted Quantification ; 2. Context and Unrestricted Quantification ; 3. Against 'Absolutely Everything'! ; 4. Something About Everything: Universal Quantification in the Universal Sense of Universal Quantification ; 5. Sets, Properties, and Unrestricted Quantification ; 6. There's a Rule for Everything ; 7. The Problem of Absolute Universality ; 8. Beyond Plurals ; 9. All Things Indefinitely Extensible ; 10. Unrestricted Unrestricted Quantification: The Cardinal Problem of Absolute Generality ; 11. Is it too much to ask, to ask for everything? ; 12. Absolute Identity and Absolute Generality
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