Science/Engineering An Algebraic Approach to Non-classical Logics (0720422647)

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Helena Rasiowa, "An Algebraic Approach to Non-classical Logics"

The search for relationships between logic and algebra goes back to the investigations of Boole and his followers. Those investigations yielded what we now call Boolean algebra. The close links between classical logic and the theory of Boolean algebras has been known for a long time. One of the turning points in the algebraic study of logic was the introduction by Lindenbaum and Tarski of the method of treating formulas, or equivalence classes of formulas as elements of an abstract algebra. Another milestone was the treatment of formulas as algebraic functions in certain algebras. This is a generalization of truth-tables in classical logic and can be found in the formulation by Lukasiewicz and Post of many-valued logics and in the metalogical study of those systems.

Studies by Stone and Tarski established the connections between intuitionistic propositional calculus and the algebra of open (closed) subsets of topological spaces. Similar connections between modal propositional calculus and the algebra of subsets of topological spaces were found by McKinsey, whose results in an algebraic form were later presented by McKinsey and Tarski.

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	Science/Engineering R. K. Lazarsfeld - Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series R. K. Lazarsfeld - Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear SeriesPages:387 \| DjVU \| Springer, Berlin; Auflage: 1 (24. August 2004) \| ISBN: 3540225331 \| 3.57 MB This two volume work on Positivity in Alg ...
	Science/Engineering Algebraic and Proof-theoretic Aspects of Non-classical Logics S. Aguzzoli, A. Ciabattoni, B. Gerla, C. Manara , V. Marra, "Algebraic and Proof-theoretic Aspects of Non-classical Logics: Papers in Honor of Daniele Mundici on the Occasion of His 60th Birthday" Springer \| 2007 \| ISBN: 3540759387 \| 309 ...
	Science/Engineering Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151 Nikolaos Galatos, Peter Jipsen, Tomasz Kowalski, Hiroakira Ono, "Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151" Elsevier Science \| 2007 \| ISBN: 0444521410 \| 532 pages \| PDF \| 5,2 MB The book is meant to s ...
	An algebraic approach to non-classical logics (Repost) An algebraic approach to non-classical logics Publisher: Elsevier Science \| ISBN: 0720422647 \| edition 1974 \| PDF \| 419 pages \| 11,7 mbThe search for relationships between logic and algebra goes back to the investigations of Boole and his ...
	Technical Algebraic K-Theory II. . "Classical" Algebraic K-Theory, and Connections with Arithmetic. (Lecture Notes in Mathematics 342) ISBN: 3540064354 Publisher: Springer Author: Hyman BassDescription:Download:
	Nonfiction Topics in Classical Algebraic Geometry These are lecture notes on algebraic geometry. From the table of contents: Polarity; Conics; Plane cubics; Determinantal equations; Theta characteristics; Plane Quartics; Planar Cremona transformations; Del Pezzo surfaces; Cubic surfaces; G ...

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