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neutrosophic logic


(Or "Smarandache logic") A generalisation of {fuzzy logic} based on {Neutrosophy}. A proposition is t true, i indeterminate, and f false, where t, i, and f are real values from the ranges T, I, F, with no restriction on T, I, F, or the sum n=t+i+f. Neutrosophic logic thus generalises: - intuitionistic logic, which supports incomplete theories (for 0fuzzy logic (for n=100 and i=0, and 0<=t,i,f<=100) - Boolean logic (for n=100 and i=0, with t,f either 0 or 100) - multi-valued logic (for 0<=t,i,f<=100) - paraconsistent logic (for n>100 and i=0, with both t,f<100) - dialetheism, which says that some contradictions are true (for t=f=100 and i=0 some paradoxes can be denoted this way). Compared with all other logics, neutrosophic logic introduces a percentage of "indeterminacy" - due to unexpected parameters hidden in some propositions. It also allows each component t,i,f to "boil over" 100 or "freeze" under 0. For example, in some tautologies t>100, called "overtrue". Start . ["Neutrosophy / Neutrosophic probability, set, and logic", F. Smarandache, American Research Press, 1998]. (1999-10-04)

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