Overview
- Surveys and unifies various philosophical and formal treatments of truth values
- Discusses central issues such as the relation between truth values and consequence relations
- Systematically develops both semantically and proof-theoretically a theory of generalized truth values as subsets of already established truth values.
Part of the book series: Trends in Logic (TREN, volume 36)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
Reviews
"This book is an exceptional contribution to philosophical logic; no one who thinks about truth values should miss it. Taking Truth and Falsehood as objects in Frege's way, the authors serve up a compelling combination of (1) authoritative, encyclopedic, and philosophically sensitive history, (2) a careful and persuasive presentation of their beautiful and super-useful theory of sixteen (not just algebraic but really logical) truth values structured as a trilattice, and (3) a dazzling array of related conceptually motivated formal developments that bring the reader to the forefront of current research." (Prof. Nuel D. Belnap)
"Truth and Falsehood, two values. What could be simpler? We can all count to 2. Professors Shramko and Wansing in this book build on earlier work of themselves and others (including Nuel Belnap’s and my “four valued logic”) to show that 2 truth values is barely enough to get started. They consider 4 and especially 16 element truth values, and do not even stop there. Paraphrasing George Gamow, "Two Four Sixteen Infinity.” This book is thoughtful and bold, philosophical and mathematical, and very well-written." (Prof. J. Michael Dunn)
"Could something be both true and false, and neither true nor false? ‘That way,’ claimed Bob Meyer, ‘lies madness’. But if this be madness, yet there is method in’t, as Shramko and Wansing show, unearthing a rich and beautiful family of logical structures." (Prof. Graham Priest)
Authors and Affiliations
Bibliographic Information
Book Title: Truth and Falsehood
Book Subtitle: An Inquiry into Generalized Logical Values
Authors: Yaroslav Shramko, Heinrich Wansing
Series Title: Trends in Logic
DOI: https://doi.org/10.1007/978-94-007-0907-2
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2012
Hardcover ISBN: 978-94-007-0906-5Published: 15 September 2011
Softcover ISBN: 978-94-007-3734-1Published: 27 November 2013
eBook ISBN: 978-94-007-0907-2Published: 15 September 2011
Series ISSN: 1572-6126
Series E-ISSN: 2212-7313
Edition Number: 1
Number of Pages: XIV, 250
Topics: Logic, Mathematical Logic and Foundations, Mathematical Logic and Formal Languages