Larisa Maksimova on Implication, Interpolation, and Definability

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Publisher : Springer
ISBN 13 : 3319699172
Total Pages : 374 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Larisa Maksimova on Implication, Interpolation, and Definability by : Sergei Odintsov

Download or read book Larisa Maksimova on Implication, Interpolation, and Definability written by Sergei Odintsov and published by Springer. This book was released on 2018-01-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume focuses on the work of Professor Larisa Maksimova, providing a comprehensive account of her outstanding contributions to different branches of non-classical logic. The book covers themes ranging from rigorous implication, relevance and algebraic logic, to interpolation, definability and recognizability in superintuitionistic and modal logics. It features both her scientific autobiography and original contributions from experts in the field of non-classical logics. Professor Larisa Maksimova's influential work involved combining methods of algebraic and relational semantics. Readers will be able to trace both influences on her work, and the ways in which her work has influenced other logicians. In the historical part of this book, it is possible to trace important milestones in Maksimova’s career. Early on, she developed an algebraic semantics for relevance logics and relational semantics for the logic of entailment. Later, Maksimova discovered that among the continuum of superintuitionisitc logics there are exactly three pretabular logics. She went on to obtain results on the decidability of tabularity and local tabularity problems for superintuitionistic logics and for extensions of S4. Further investigations by Maksimova were aimed at the study of fundamental properties of logical systems (different versions of interpolation and definability, disjunction property, etc.) in big classes of logics, and on decidability and recognizability of such properties. To this end she determined a powerful combination of algebraic and semantic methods, which essentially determine the modern state of investigations in the area, as can be seen in the later chapters of this book authored by leading experts in non-classical logics. These original contributions bring the reader up to date on the very latest work in this field.

Interpolation and Definability

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Publisher : Clarendon Press
ISBN 13 : 019154535X
Total Pages : 524 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Interpolation and Definability by : Dov M. Gabbay

Download or read book Interpolation and Definability written by Dov M. Gabbay and published by Clarendon Press. This book was released on 2005-05-12 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a specialized monograph on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language. Suitable for researchers and graduate students in mathematics, computer science and philosophy, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (second edition), J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning, P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2, and David J. Pym and Eike Ritter's Reductive Logic and Proof Search: Proof theory, semantics and control.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

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Publisher : Springer Nature
ISBN 13 : 3030714306
Total Pages : 591 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs by : Ivo Düntsch

Download or read book Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs written by Ivo Düntsch and published by Springer Nature. This book was released on 2021-09-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

The Logic of Entailment and its History

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Publisher : Cambridge University Press
ISBN 13 : 1009375296
Total Pages : 282 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis The Logic of Entailment and its History by : Edwin Mares

Download or read book The Logic of Entailment and its History written by Edwin Mares and published by Cambridge University Press. This book was released on 2024-01-31 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.

V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics

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Publisher : Springer Nature
ISBN 13 : 3031068432
Total Pages : 319 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics by : Alex Citkin

Download or read book V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics written by Alex Citkin and published by Springer Nature. This book was released on 2022-11-08 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics.

Handbook of Logical Thought in India

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Publisher : Springer Nature
ISBN 13 : 8132225775
Total Pages : 1339 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Handbook of Logical Thought in India by : Sundar Sarukkai

Download or read book Handbook of Logical Thought in India written by Sundar Sarukkai and published by Springer Nature. This book was released on 2022-11-04 with total page 1339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles is unique in the way it approaches established material on the various logical traditions in India. Instead of classifying these traditions within Schools as is the usual approach, the material here is classified into sections based on themes ranging from Fundamentals of ancient logical traditions to logic in contemporary mathematics and computer science. This collection offers not only an introduction to the key themes in different logical traditions such as Nyaya, Buddhist and Jaina, it also highlights certain unique characteristics of these traditions as well as contribute new material in the relationship of logic to aesthetics, linguistics, Kashmir Saivism as well as the forgotten Tamil contribution to logic.

Kit Fine on Truthmakers, Relevance, and Non-classical Logic

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Publisher : Springer Nature
ISBN 13 : 3031294157
Total Pages : 796 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Kit Fine on Truthmakers, Relevance, and Non-classical Logic by : Federico L. G. Faroldi

Download or read book Kit Fine on Truthmakers, Relevance, and Non-classical Logic written by Federico L. G. Faroldi and published by Springer Nature. This book was released on 2023-11-25 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores some of Kit Fine's outstanding contributions to logic, philosophy of language, philosophy of mathematics, and metaphysics, among others. Contributing authors address in-depth issues about truthmaker semantics, counterfactual conditionals, grounding, vagueness, non-classical consequence relations, and arbitrary objects, offering critical reflections and novel research contributions. Each chapter is accompanied by an extensive commentary, in which Kit Fine offers detailed responses to the ideas and themes raised by the contributors. The book includes a brief autobiography and exhaustive list of his publications to this date. This book is of interest to logicians of all stripes and to analytic philosophers more generally.

J. Michael Dunn on Information Based Logics

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Publisher : Springer
ISBN 13 : 3319293001
Total Pages : 469 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis J. Michael Dunn on Information Based Logics by : Katalin Bimbo

Download or read book J. Michael Dunn on Information Based Logics written by Katalin Bimbo and published by Springer. This book was released on 2016-04-02 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates and expands on J. Michael Dunn’s work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn’s research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or "gaggles"). Dunn’s latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information. The book opens with Dunn’s autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics. The publication of this book is well timed, since we are living in an "information age.” Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.

Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851381
Total Pages : 696 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev by : Leonid A. Bokut'

Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev written by Leonid A. Bokut' and published by American Mathematical Soc.. This book was released on 1992 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Philosopher's Index

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Publisher :
ISBN 13 :
Total Pages : 1256 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Philosopher's Index by :

Download or read book The Philosopher's Index written by and published by . This book was released on 2008 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1969- include a section of abstracts.

Handbook of Philosophical Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 9400704852
Total Pages : 413 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Handbook of Philosophical Logic by : Dov M. Gabbay

Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lambda Calculi: A Guide Interpolation and Definability Discourse Representation Theory

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation and Definability

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Publisher : Oxford University Press
ISBN 13 : 0198511744
Total Pages : 524 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Interpolation and Definability by : Dov M. Gabbay

Download or read book Interpolation and Definability written by Dov M. Gabbay and published by Oxford University Press. This book was released on 2005-05-12 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a specialized monograph on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language.Suitable for researchers and graduate students in mathematics, computer science and philosophy, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (second edition), J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and NonmonotonicReasoning, P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2, and David J. Pym and Eike Ritter's Reductive Logic and Proof Search: Proof theory, semantics and control.

Advances in Modal Logic

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Publisher :
ISBN 13 : 9781575862712
Total Pages : 457 pages
Book Rating : 4.8/5 (627 download)

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Book Synopsis Advances in Modal Logic by :

Download or read book Advances in Modal Logic written by and published by . This book was released on 1998 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Bulletin of Symbolic Logic

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Publisher :
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Bulletin of Symbolic Logic by :

Download or read book The Bulletin of Symbolic Logic written by and published by . This book was released on 2006 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modal Logic

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Publisher : Cambridge University Press
ISBN 13 : 9780521295154
Total Pages : 316 pages
Book Rating : 4.2/5 (951 download)

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Book Synopsis Modal Logic by : Brian F. Chellas

Download or read book Modal Logic written by Brian F. Chellas and published by Cambridge University Press. This book was released on 1980-02-29 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook on modal logic the logic of necessity and possibility.

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 1461501857
Total Pages : 288 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by : Igor Lavrov

Download or read book Problems in Set Theory, Mathematical Logic and the Theory of Algorithms written by Igor Lavrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.