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Vicious Circles

On the Mathematics of Non-Wellfounded Phenomena

By: Jon Barwise, Lawrence S. Moss

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Hardcover | 1 June 1996 | Edition Number 1

At a Glance

Hardcover
390 Pages

Dimensions(cm)
2.35 x 1.64 x 0.29

Hardcover

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Circular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that they conflict with mathematical rigour. Barwise and Moss have undertaken to prove this assumption false. This volume is concerned with extending the modelling capabilities of set theory to provide a uniform treatment of circular phenomena. As a means of guiding the reader through the concrete examples of the theory, the authors have included many exercises and solutions: these exercises range in difficulty and ultimately stimulate the reader to come up with new results. Vicious Circles is intended for use by researchers who want to use hypersets; although some experience in mathematics is necessary, the book is accessible to people with widely differing backgrounds and interests.

Industry Reviews

' ... a book to learn from.' L'Enseignement Mathematique

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You Can Find This Book In

Non-Fiction Mathematics Mathematical Foundation Set Theory Reference, Information & Interdisciplinary Subjects Encyclopaedias & Reference Works Science Biology, Life Sciences Life Sciences in General Neurosciences Mathematical Logic Science in General

Miscellaneous Items

Background
Introduction
Background on set theory
Vicious Circles:
Circularity in computer science
Circularity in philosophy
Circularity and paradox
Basic Theory:
The solution dilemma
Bisimulation
Elementary applications:
Graphs
Modal logic
Streams
Games
Modeling the semantic paradoxes
Further Theory
Greatest fixed points
Uniform operators
Corecursion
Further Applications
Some applications
Modeling partial information
Circularity and the notion of set
Conclusions and future directions
Table of Contents provided by Publisher. All Rights Reserved.

Vicious Circles

On the Mathematics of Non-Wellfounded Phenomena

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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