ENGLISH

Inconsistent Mathematics

By Chris Mortensen

Book information

Publisher
Kluwer Academic Publishers
Year
1995
ISBN
9048144809, 9789048144808, 9401584532, 9789401584531
Language
english
Format
PDF
Filesize
2 MB (2508662 bytes)
Series
Mathematics and Its Applications, Vol. 312
Pages
168\168
Topic
Mathematics Logic
Orientation
yes
Scanned
yes
Time added
2013-10-15 17:51:02

Description

The theory of inconsistency has been growing steadily over the last two decades. One focus has been philosophical issues arising from the paradoxes of set theory and semantics. A second focus has been the study of paraconsistent or inconsistency-tolerant logics. A third focus has been the application of paraconsistent logics to problems in artificial intelligence. This book focuses on a fourth aspect: the construction of mathematical theories in which contradictions occur, and the investigation of their properties. The inconsistent approach provides a distinctive perspective on the various number systems, order differential and integral calculus, discontinuous changes, inconsistent systems of linear equations, projective geometry, topology and category theory. The final chapter outlines several known results concerning paradoxes in the foundations of set theory and semantics. The book begins with an informal chapter which summarises the main results nontechnically, and draws philosophical implications from them. This volume will be of interest to advanced undergraduates, graduate students and professionals in the areas of logic, philosophy, mathematics and theoretical computer science.

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