Computing Reviews
Today's Issue Hot Topics Search Browse Recommended My Account Log In
Review Help
Search
Universal logic : an anthology : from Paul Hertz to Dov Gabbay
Béziau J., Springer-Verlag, New York, NY, 2012. 428 pp. Type: Book (978-3-034601-44-3)
Date Reviewed: Jul 9 2012

The quest for common ground in the expression of logical statements--regardless of the given syntax, semantics, or grammar--has taken the best efforts of notable logicians throughout the 20th century. This book gathers a collection of some of the most notable of their works. Its structure is chronological, but it is not merely a book on the history of universal logic. Each major work is discussed by eminent contemporary researchers, providing context on why a particular idea in logic came into existence.

For example, Rougier’s 1941 work on logical pluralism is discussed by Marion, who traces the context of origin of this work to Lewis’ alternative systems of logic, or Carnap’s logical syntax of language, around the mid-1930s. This leads to the question of whether it is possible to lead away from logical monism, and instead embrace the possibility of different logical systems, which, though free, are not arbitrary, since they must comply with the domain of facts to which the research is relevant. Dana Scott’s discussion on completeness and axiomatizability in many-valued logics is tackled by Humberstone, who argues that it is actually a “finitized” version of the multiple-conclusion logics, inspired by the logics of Łukasiewicz. Other major works either discussed or mentioned include those of Russell and Whitehead (from Principia), Gödel, and Dov Gabbay (his 1996 work seeking to combine logical systems, which is relevant for software engineering).

I highly recommend this book to logicians, mathematicians working on provability theory, and software engineers.

Reviewer:  Arturo Ortiz-Tapia Review #: CR140350 (1211-1108)
Bookmark and Share
  Reviewer Selected
Featured Reviewer
 
 
Mathematical Logic (F.4.1 )
 
 
Deduction And Theorem Proving (I.2.3 )
 
Would you recommend this review?
yes
no
Other reviews under "Mathematical Logic": Date
Fundamentals of computing for software engineers
Tanik M. (ed), Chan E., Van Nostrand Reinhold Co., New York, NY, 1991. Type: Book (9780442005252)
Aug 1 1992
Fuzzy sets and fuzzy logic
Gottwald S., Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Wiesbaden, Germany, 1993. Type: Book (9783528053116)
Apr 1 1994
Logics of time and computation
Goldblatt R., Center for Study of Lang. and Info., Stanford, CA, 1987. Type: Book (9789780937073124)
Feb 1 1988
more...

E-Mail This Printer-Friendly
Send Your Comments
Contact Us
Reproduction in whole or in part without permission is prohibited.   Copyright 1999-2024 ThinkLoud®
Terms of Use
| Privacy Policy