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Single Idea 6888

[filed under theme 4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic ]

Full Idea

Fuzzy logic is based upon fuzzy set-theory, in which the simple notion of membership of a set is replaced by a notion of membership to some degree.

Gist of Idea

Fuzzy logic is based on the notion that there can be membership of a set to some degree

Source

Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.214)

Book Ref

Mautner,Thomas: 'Dictionary of Philosophy' [Penguin 1997], p.214


A Reaction

The idea that something could be to some degree a 'heap of sand' sounds plausible, but Williamson and Sorensen claim that the vagueness is all in us (i.e. it is epistemological), and not in the world. This will scupper fuzzy logic.


The 4 ideas with the same theme [logic using infinite gradations between true and false]:

Fuzzy logic is based on the notion that there can be membership of a set to some degree [Mautner]
Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson]
There are fuzzy predicates (and sets), and fuzzy quantifiers and modifiers [Read]
Fuzzy logic has many truth values, ranging in fractions from 0 to 1 [Fisher]