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ﾅ「kasiewicz Logic
In mathematics and philosophy, ﾅ「kasiewicz logic ( , ) is a non-classical, many-valued logic. It was originally defined in the early 20th century by Jan ﾅ「kasiewicz as a three-valued modal logic;ﾅ「kasiewicz J., 1920, O logice trﾃｳjwartoﾅ嫩iowej (in Polish). Ruch filozoficzny 5:170窶171. English translation: On three-valued logic, in L. Borkowski (ed.), ''Selected works by Jan ﾅ「kasiewicz'', North窶滴olland, Amsterdam, 1970, pp. 87窶88. it was later generalized to ''n''-valued (for all finite ''n'') as well as infinitely-many-valued ( 邃ｵ0-valued) variants, both propositional and first order.Hay, L.S., 1963Axiomatization of the infinite-valued predicate calculus ''Journal of Symbolic Logic'' 28:77窶86. The 邃ｵ0-valued version was published in 1930 by ﾅ「kasiewicz and Alfred Tarski; consequently it is sometimes called the ﾅ「kasiewiczTarski logic. citing ﾅ「kasiewicz, J., Tarski, A.Untersuchungen ﾃｼber den Aussagenkalkﾃｼl Comp. Rend. Soc. Sci. et Lettres Varsovie Cl. III ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
