# many-valued logic

Also found in: Encyclopedia, Wikipedia.
Related to many-valued logic: Intuitionistic logic, Probabilistic logic

## many-valued logic

n
(Logic)
a. the study of logical systems in which the truth-values that a proposition may have are not restricted to two, representing only truth and falsity
b. such a logical system
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
Mentioned in ?
References in periodicals archive ?
Fuzzy logic is a many-valued logic that deals with reasoning which is approximate not exact.
Fuzzy logic is a form of many-valued logic in which the truth values of variables may be any real number between 0 and 1, considered to be "fuzzy".
His topics include rationalism and irrationalism in Poland, the rise of many-valued logic in Poland, formal metaphilosophy in Finland, an introduction to the history of epistemology, and Polish logic.
A different path taken in the attempt to avoid the paradox leads to the embrace of many-valued logic. (9) This form of logic boldly declines the simplification offered by two-valued, or bivalent, logic built on a foundation of true/false with an excluded middle.
Hajek introduced BL-algebras as algebraic structures for his Basic Logic in order to investigate many-valued logic by algebraic means [3,9].
A many-valued logic capable of handling vague or "fuzzy" concepts (e.g., slow/fast, cheap/expensive, liberal/conservative, cold/hot) allows machines to operate almost as flexibly and "intuitively" as we do.
On the other hand, we might move to a many-valued logic that explicitly accommodates bottom and choice.
Since these points are presented as self-evident, it is perhaps not surprising that there is no discussion of many-valued logic or quantum physics.
A better understanding of standards of proof would result from thinking in terms of many-valued logic and belief functions, however.
Korzybski refers often in Science and Sanity to the "logic of probability," "the many-valued logic," "the mathematical theory of probability," the "'intuitional' formalism" and "the restricted semantic school" of the Lwow-Warsaw school of mathematical logic and analytical philosophy which flourished during 1895-1939.

Site: Follow: Share:
Open / Close