Fuzzy logic

Cogito ergo sum Logic and rhetoric

Key articles

Logical fallacy Syllogism Argument

General logic

Galileo gambit Problem of evil Sanctioning the devil Nutpicking Intuition pump Hierarchy of disagreement

Bad logic

Argumentum ad hominem Holmesian fallacy DARVO Appeal to flattery Envenenar o poço دوراهی اشتباهی v - t - e

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Fuzzy logic is a term of techno-jargon to describe a class of logics in which a finite set of discrete truth values (e.g., "true" and "false" in binary logics) is replaced with an uncountable continuum of truth values, generally the set of real numbers between 0 and 1.^[1]

Fuzzy logic is related to probabilistic logic, in which truth values convey a probability that a sentence is true in the same sense as binary logic; e.g., if the truth value of proposition A is 0.5, it means that A has a 50-50 probability of being true, but still must be either wholly true or wholly false. In fuzzy logic, by contrast, a truth value of 0.5 means that a statement is only "half true;" for example, if a proposition "The glass is full" had a truth value of 0.5, it could be interpreted as "The glass is half full."

The fuzziness of fuzzy logic can occur in two ways, and will be dependent upon the input probabilities' accuracy and precision, and the problem of garbage in garbage out.

Fuzzy math[edit]

"Fuzzy logic" is not to be confused with "fuzzy math", which was coined by then-presidential candidate George W. Bush during his first presidential debate with Democratic nominee Al Gore. Bush initially employed the phrase — along with a similar phrase, "phony numbers" — to criticize Gore's tax policy.^[3] His use of the phrase is a classic example of the appeal to ridicule fallacy, as well as a prototype of his signature "Bushisms".

See also[edit]

• Bayesian