{"product_id":"advanced-lukasiewicz-calculus-and-mv-algebras-9789400708396","title":"Advanced Lukasiewicz Calculus and Mv-Algebras","description":"\u003cp\u003e • Author(s): D. Mundici\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Logic\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eIn recent years, the discovery of the relationships between formulas in Lukasiewicz logic and rational polyhedra, Chang MV-algebras and lattice-ordered abelian roups, MV-algebraic states and coherent de Finetti's assessments of continuous events, has changed the study and practice of many-valued logic. This book is intended as an up-to-date monograph on infinite-valued Lukasiewicz logic and MV-algebras. Each chapter features a combination of classical and re¬cent results, well beyond the traditional domain of algebraic logic: among others, a comprehensive account is given of many effective procedures that have been re¬cently developed for the algebraic and geometric objects represented by formulas in Lukasiewicz logic. The book embodies the viewpoint that modern Lukasiewicz logic and MV-algebras provide a benchmark for the study of several deep mathematical prob¬lems, such as Rényi conditionals of continuously valued events, the many-valued generalization of Carathéodory algebraic probability theory, morphisms and invari¬ant measures of rational polyhedra, bases and Schauder bases as jointly refinable partitions of unity, and first-order logic with [0,1]-valued identity on Hilbert space. Complete versions are given of a compact body of recent results and techniques, proving virtually everything that is used throughout, so that the book can be used both for individual study and as a source of reference for the more advanced reader.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45277707796631,"sku":"9789400708396","price":7345.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789400708396.webp?v=1769288998","url":"https:\/\/atlanticbooks.com\/products\/advanced-lukasiewicz-calculus-and-mv-algebras-9789400708396","provider":"Atlantic Books","version":"1.0","type":"link"}