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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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