Authors:
- Written for self-study
- References the self-contained book Trends in Logic 7 (co-authored by the same author)
- Deals with the logic and probability of continuously-valued events, just as boolean logic deals with yes-no events
- Focuses on Lukasiewicz logic and their algebras, because of the powerful mathematical tools available here
Part of the book series: Trends in Logic (TREN, volume 35)
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Table of contents (21 chapters)
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Front Matter
About this book
Reviews
From the reviews:
“The book is recommended for professional researchers and advanced students with an appropriate mathematical background. The book covers most of the recent developments in Łukasiewicz infinite-valued calculus and MV-theory. … The presentation is clearly structured and self-contained. The book consists of twenty chapters and two appendices, and a suitable bibliography is offered at the end of each chapter. Some of the chapters can be read independently from the others.” (Manuela Busaniche, Mathematical Reviews, Issue 2012 i)
“The author of this book is one of the leading scientists in the field of MV-algebras, and in this work he presents his recent results, collecting them in a monograph that every scholar interested in many-valued logic should consult for his studies. The book is intended as a text for a second course on infinite-valued Łukasiewicz logic … . Each chapter focuses on a specific topic and chapters are almost independent from each other.” (Brunella Gerla, Zentralblatt MATH, Vol. 1235, 2012)
Authors and Affiliations
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Florence, Italy
D. Mundici
About the author
Daniele Mundici received his Laurea degree in Physics from the University of Modena. He is currently Professor of Mathematical Logic at the University of Florence, and has been Professor of Algorithms and Computability at the University of Milan.
He has taught at universities in Europe, Africa and America.
He serves as a managing editor of various journals in logic, algebra and applied mathematics. He has been the President of the Kurt Gödel Society in Vienna and of the Italian Association for Logic and Applications. He is a member of the International Academy of Philosophy of Science, Bruxelles and a corresponding member of the National Academy of Exact Sciences, Buenos Aires.
He is the author of three books and over 140 research papers in logic, algebra and theoretical computer science.
Bibliographic Information
Book Title: Advanced Łukasiewicz calculus and MV-algebras
Authors: D. Mundici
Series Title: Trends in Logic
DOI: https://doi.org/10.1007/978-94-007-0840-2
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2011
Hardcover ISBN: 978-94-007-0839-6Published: 23 June 2011
Softcover ISBN: 978-94-007-3660-3Published: 03 August 2013
eBook ISBN: 978-94-007-0840-2Published: 22 June 2011
Series ISSN: 1572-6126
Series E-ISSN: 2212-7313
Edition Number: 1
Number of Pages: XVIII, 258