On the Mathematics of Non-Wellfounded Phenomena
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Vicious Circles by Jon Barwise
Book DescriptionCircular 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.
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Book DetailsISBN: 9781575860084
(228mm x 152mm x 24mm)
Imprint: Centre for the Study of Language & Information
Publisher: Centre for the Study of Language & Information
Publish Date: 30-Jun-1996
Country of Publication: United States
Books By Author Jon Barwise
Admissible Sets and Structures, Hardback (February 2017)
This volume makes the basic facts about admissible sets accessible to logic students and specialists alike.
Information Flow, Paperback (August 2008)
Presents a mathematically rigorous, philosophically sound foundation for a science of information.
Logical Reasoning with Diagrams, Hardback (February 1996)» View all books by Jon Barwise
A research monograph, this book addresses the logical aspects of the visualization of information with papers specially commissioned for this book. The authors explore the logical properties of diagrams, charts, maps, and the like, and their use in problem solving and in teaching basic reasoning skills.
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