त्रि-मूल्यीय तर्कशास्त्र पर

परिचय

Łukasiewicz published the short paper in 1920 in the Lwów journal “Ruch Filozoficzny”. Besides “true” (1) and “false” (0) it introduces a third value (1/2), interpreted as “possible”, for contingent statements about the future, so that some classical laws, such as the law of excluded middle, no longer hold generally. The problem goes back to Aristotle’s discussion of tomorrow’s sea battle in “On Interpretation” 9. The motive was philosophical: Łukasiewicz wanted to show that indeterminism and human freedom can be stated consistently, against the view that every true sentence is true eternally. Together with Emil Post’s independent work (1921), the paper stands at the beginning of modern many-valued logic, which Łukasiewicz later extended to infinitely many values.

संबंध

जिस पर आधारित

• ऑर्गेनॉनलगभग 350 ईसा पूर्व · अरस्तू

यान उकाशेविच की और कृतियाँ

• 1951आधुनिक औपचारिक तर्कशास्त्र के दृष्टिकोण से अरस्तू का न्याय-अनुमान