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Logica Universalis

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Logica Universalis

Logica Universalis Book
Author : Jean-Yves Beziau
Publisher : Springer Science & Business Media
Release : 2007-08-08
ISBN : 3764383542
File Size : 26,7 Mb
Language : En, Es, Fr and De

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Logica Universalis Book PDF/Epub Download

Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.

The Exoteric Square of Opposition

The Exoteric Square of Opposition Book
Author : Jean-Yves Beziau,Ioannis Vandoulakis
Publisher : Springer Nature
Release : 2022-08-23
ISBN : 3030908232
File Size : 42,7 Mb
Language : En, Es, Fr and De

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The Exoteric Square of Opposition Book PDF/Epub Download

The theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle’s ontological square, logical oppositions in Avicenna’s hypothetical logic, and the power of the square of opposition to solve theological problems regarding predestination and theodicy. Other topics covered include: Hegel’s opposition to diagrams De Morgan’s unpublished octagon of opposition turnstile figures of opposition institutional model-theoretic treatment of oppositions Lacan’s four formulas of sexuation the theory of oppositional poly-simplexes The Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts.

How Colours Matter to Philosophy

How Colours Matter to Philosophy Book
Author : Marcos Silva
Publisher : Springer
Release : 2017-11-23
ISBN : 331967398X
File Size : 39,7 Mb
Language : En, Es, Fr and De

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How Colours Matter to Philosophy Book PDF/Epub Download

This edited volume explores the different and seminal ways colours matter to philosophy. Each chapter provides an insightful analysis of one or more cases in which colours raise philosophical problems in different areas and periods of philosophy. This historically informed discussion examines both logical and linguistic aspects, covering such areas as the mind, aesthetics and the foundations of mathematics. The international contributors look at traditional epistemological and metaphysical issues on the subjectivity and objectivity of colours. In addition, they also assess phenomenological problems typical of the continental tradition and contemporary problems in the philosophy of mind. The chapters include coverage of such topics as Newton’s and Goethe’s theory of light and colours, how primary qualities are qualitative and colours are primary, explaining colour phenomenology, and colour in cognition, language and philosophy. "This book beautifully prepares the ground for the next steps in our research on and philosophising about colour" Daniel D. Hutto (University of Wollongong) "It is not an overstatement to say that How Colours to Philosophy is a ground breaking publication" Mazviita Chirimuuta (University of Pittsburgh) "Anyone interested in philosophical issues about color will find it highly stimulating." Martine Nida-Rümelin (Université de Fribourg) "The high quality papers included in this anthology succeed admirably in enriching current philosophical thinking about colour” Erik Myin (University of Antwerp) “This is certainly the most complete collection of philosophical essays on colours ever published” André Leclerc (University of Brasília) “All in all this collections represents a new milestone in the ongoing philosophical debate on colours and colour expressions” Ingolf Max (University of Leipzig)

Information Processing and Management of Uncertainty in Knowledge Based Systems

Information Processing and Management of Uncertainty in Knowledge Based Systems Book
Author : Joao Paulo Carvalho,Marie-Jeanne Lesot,Uzay Kaymak,Susana Vieira,Bernadette Bouchon-Meunier,Ronald R. Yager
Publisher : Springer
Release : 2016-06-10
ISBN : 3319405810
File Size : 22,5 Mb
Language : En, Es, Fr and De

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Information Processing and Management of Uncertainty in Knowledge Based Systems Book PDF/Epub Download

This two volume set (CCIS 610 and 611) constitute the proceedings of the 16th International Conference on Information processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2016, held in Eindhoven, The Netherlands, in June 2016. The 127 revised full papers presented together with four invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on fuzzy measures and integrals; uncertainty quantification with imprecise probability; textual data processing; belief functions theory and its applications; graphical models; fuzzy implications functions; applications in medicine and bioinformatics; real-world applications; soft computing for image processing; clustering; fuzzy logic, formal concept analysis and rough sets; graded and many-valued modal logics; imperfect databases; multiple criteria decision methods; argumentation and belief revision; databases and information systems; conceptual aspects of data aggregation and complex data fusion; fuzzy sets and fuzzy logic; decision support; comparison measures; machine learning; social data processing; temporal data processing; aggregation.

Cylindric like Algebras and Algebraic Logic

Cylindric like Algebras and Algebraic Logic Book
Author : Hajnal Andréka,Miklós Ferenczi,István Németi
Publisher : Springer Science & Business Media
Release : 2014-01-27
ISBN : 3642350259
File Size : 42,9 Mb
Language : En, Es, Fr and De

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Cylindric like Algebras and Algebraic Logic Book PDF/Epub Download

Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways: as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin.​

The Road to Universal Logic

The Road to Universal Logic Book
Author : Arnold Koslow,Arthur Buchsbaum
Publisher : Birkhäuser
Release : 2015-06-10
ISBN : 3319153684
File Size : 20,7 Mb
Language : En, Es, Fr and De

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The Road to Universal Logic Book PDF/Epub Download

This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.

Comprehending the Complexity of Countries

Comprehending the Complexity of Countries Book
Author : Hans Kuijper
Publisher : Springer Nature
Release : 2022-01-18
ISBN : 9811647097
File Size : 27,5 Mb
Language : En, Es, Fr and De

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Comprehending the Complexity of Countries Book PDF/Epub Download

This book argues for computer-aided collaborative country research based on the science of complex and dynamic systems. It provides an in-depth discussion of systems and computer science, concluding that proper understanding of a country is only possible if a genuinely interdisciplinary and truly international approach is taken; one that is based on complexity science and supported by computer science. Country studies should be carefully designed and collaboratively carried out, and a new generation of country students should pay more attention to the fast growing potential of digitized and electronically connected libraries. In this frenzied age of globalization, foreign policy makers may – to the benefit of a better world – profit from the radically new country studies pleaded for in the book. Its author emphasizes that reductionism and holism are not antagonistic but complementary, arguing that parts are always parts of a whole and a whole has always parts.

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

V A  Yankov on Non Classical Logics  History and Philosophy of Mathematics Book
Author : Alex Citkin,Ioannis M. Vandoulakis
Publisher : Springer Nature
Release : 2022-11-08
ISBN : 3031068432
File Size : 53,5 Mb
Language : En, Es, Fr and De

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V A Yankov on Non Classical Logics History and Philosophy of Mathematics Book PDF/Epub Download

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.

Logic Language Information and Computation

Logic  Language  Information and Computation Book
Author : Hiroakira Ono,Makoto Kanazawa,Ruy de Queiroz
Publisher : Springer
Release : 2009-06-07
ISBN : 3642022618
File Size : 55,6 Mb
Language : En, Es, Fr and De

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Logic Language Information and Computation Book PDF/Epub Download

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 16h International Workshop on Logic, Language, Information and Computation, WoLLIC 2009, held in Tokyo, Japan, in June 2009. The 25 revised full papers presented together with six tutorials and invited talks were carefully reviewed and selected from 57 submissions. The papers cover some of the most active areas of research on the frontiers between computation, logic, and linguistics, with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.

Handbook of Logical Thought in India

Handbook of Logical Thought in India Book
Author : Sundar Sarukkai,Mihir Kumar Chakraborty
Publisher : Springer Nature
Release : 2022-12-09
ISBN : 8132225775
File Size : 32,7 Mb
Language : En, Es, Fr and De

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Handbook of Logical Thought in India Book PDF/Epub Download

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.

The Semiotics of X

The Semiotics of X Book
Author : Jamin Pelkey
Publisher : Bloomsbury Publishing
Release : 2017-02-23
ISBN : 1474273858
File Size : 25,5 Mb
Language : En, Es, Fr and De

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The Semiotics of X Book PDF/Epub Download

The X figure is ubiquitous in contemporary culture, but attempts to explain our fixation with X are rare. This book argues that the origins and meanings of X go far beyond alphabets and archetypes to remembered feelings of body movements - movements best typified in the performance of “spread-eagle” as a posture or gesture. These body memories are then projected onto other patterns and dynamics to help us make sense of the world. The argument is accomplished using a blend of insights from linguistic anthropology, cognitive linguistics, rhetoric culture and process semiotics to bring together revealing clues from languages, cultures and thinkers around the world. Chief among the uses and experiences of X are its tendencies to involve us in surprising reversals and blends. In ancient times the X-pattern was discussed as “chiasmus”, a figure which, according to Maurice Merleau-Ponty, informs the most basic elements of our bodily experience, calling into question polarized dichotomies such as subject versus object. Pushed to extremes, presumed opposites like these tend to reverse suddenly. Likewise, blended experiences of our bodily extremities - arms and legs, toes and fingers, hands and feet - provide a plausible source of grounding for unique human abilities like analogy and double-scope conceptual integration. The book illustrates these dynamics by drawing attention to uses of X in history, prehistory and daily life, from sports and advertising to world mythology and languages around the world. The Semiotics of X is the first step towards developing a larger argument on the important but neglected role that chiasmus plays in cognition. It aims to inspire continued exploration on the figure, with the full expectation that chiasmus will become for the 21st century what metaphor became for the 20th century: a revolution in thinking about the way we think.

Arnon Avron on Semantics and Proof Theory of Non Classical Logics

Arnon Avron on Semantics and Proof Theory of Non Classical Logics Book
Author : Ofer Arieli,Anna Zamansky
Publisher : Springer Nature
Release : 2021-07-30
ISBN : 3030712583
File Size : 26,5 Mb
Language : En, Es, Fr and De

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Arnon Avron on Semantics and Proof Theory of Non Classical Logics Book PDF/Epub Download

This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.

Knowledge Proof and Dynamics

Knowledge  Proof and Dynamics Book
Author : Fenrong Liu,Hiroakira Ono,Junhua Yu
Publisher : Springer Nature
Release : 2020-03-23
ISBN : 9811522219
File Size : 32,8 Mb
Language : En, Es, Fr and De

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Knowledge Proof and Dynamics Book PDF/Epub Download

This volume gathers selected papers presented at the Fourth Asian Workshop on Philosophical Logic, held in Beijing in October 2018. The contributions cover a wide variety of topics in modal logic (epistemic logic, temporal logic and dynamic logic), proof theory, algebraic logic, game logics, and philosophical foundations of logic. They also reflect the interdisciplinary nature of logic – a subject that has been studied in fields as diverse as philosophy, linguistics, mathematics, computer science and artificial intelligence. More specifically. The book also presents the latest developments in logic both in Asia and beyond.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2007-09-14
ISBN : 1402063237
File Size : 49,8 Mb
Language : En, Es, Fr and De

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Handbook of Philosophical Logic Book PDF/Epub Download

The fourteenth volume of the Second Edition covers central topics in philosophical logic that have been studied for thousands of years, since Aristotle: Inconsistency, Causality, Conditionals, and Quantifiers. These topics are central in many applications of logic in central disciplines and this book is indispensable to any advanced student or researcher using logic in these areas. The chapters are comprehensive and written by major figures in the field.

Kant and the Science of Logic

Kant and the Science of Logic Book
Author : Huaping Lu-Adler
Publisher : Oxford University Press
Release : 2018-09-03
ISBN : 0190907169
File Size : 26,5 Mb
Language : En, Es, Fr and De

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Kant and the Science of Logic Book PDF/Epub Download

Immanuel Kant's enduring influence on philosophy is indisputable. In particular, Kant transformed debates on the fundamental questions in logic, and it is the significance and complexity of this accomplishment that Huaping Lu-Adler here explores. Kant's theory of logic represents a turning point in a history of philosophical debates over the following questions: Is logic a science, instrument, standard of assessment, or mixture of these? Kant's official answer to these questions centers on three distinctions: general versus particular logic; pure versus applied logic; pure general logic versus transcendental logic. The true meaning and significance of each distinction becomes clear, Lu-Adler argues, only if we consider two factors. First, Kant was mindful of various historical views on how logic relates to other branches of philosophy and to the workings of common human understanding. Second, he invented "transcendental logic" while struggling to secure metaphysics as a proper "science," and this conceptual innovation in turn held profound implications for his mature theory of logic. Against this backdrop, Lu-Adler reassesses the place of Kant's theory in the history of philosophy of logic and highlights certain issues that are debated today, including normativity of logic and the challenges posed by logical pluralism. Kant and the Science of Logic is both a history of philosophy of logic told from the Kantian viewpoint and a reconstruction of Kant's theory of logic from a historical perspective. It is a vital contribution to the study of Kantian logic.

Logics of Variable Inclusion

Logics of Variable Inclusion Book
Author : Stefano Bonzio,Francesco Paoli,Michele Pra Baldi
Publisher : Springer Nature
Release : 2022-06-09
ISBN : 3031042972
File Size : 38,8 Mb
Language : En, Es, Fr and De

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Logics of Variable Inclusion Book PDF/Epub Download

This monograph shows that, through a recourse to the concepts and methods of abstract algebraic logic, the algebraic theory of regular varieties and the concept of analyticity in formal logic can profitably interact. By extending the technique of Plonka sums from algebras to logical matrices, the authors investigate the different classes of models for logics of variable inclusion and they shed new light into their formal properties. The book opens with the historical origins of logics of variable inclusion and on their philosophical motivations. It includes the basics of the algebraic theory of regular varieties and the construction of Plonka sums over semilattice direct systems of algebra. The core of the book is devoted to an abstract definition of logics of left and right variable inclusion, respectively, and the authors study their semantics using the construction of Plonka sums of matrix models. The authors also cover Paraconsistent Weak Kleene logic and survey its abstract algebraic logical properties. This book is of interest to scholars of formal logic.

Philosophy of Logic and Mathematics

Philosophy of Logic and Mathematics Book
Author : Gabriele M. Mras,Paul Weingartner,Bernhard Ritter
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2019-11-18
ISBN : 3110654547
File Size : 40,8 Mb
Language : En, Es, Fr and De

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Philosophy of Logic and Mathematics Book PDF/Epub Download

This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

Logic in Question

Logic in Question Book
Author : Jean-Yves Béziau,Jean-Pierre Desclés,Amirouche Moktefi,Anca Christine Pascu
Publisher : Springer Nature
Release : 2023-01-11
ISBN : 3030944522
File Size : 49,8 Mb
Language : En, Es, Fr and De

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Logic in Question Book PDF/Epub Download

This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.

Meaning in Dialogue

Meaning in Dialogue Book
Author : James Trafford
Publisher : Springer
Release : 2016-10-24
ISBN : 3319472054
File Size : 42,9 Mb
Language : En, Es, Fr and De

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Meaning in Dialogue Book PDF/Epub Download

This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning. This is both a continuation, and a substantial modification, of an inferentialist approach to logic. As such, the book not only provides a critical introduction to the inferentialist view, but it also provides an argument that this shift in perspective has deep and foundational consequences for how we understand the nature of logic and its relationship with meaning and reasoning. This has been upheld by several technical results, including, for example a novel approach to logical paradox and logical revision, and an account of the internal justification of logical rules. The book shows that inferentialism is greatly strengthened, such that it can answer the most stringent criticisms of the view. This leads to a view of logic that emphasizes the dynamics of reasoning, provides a novel account of the justification and normativity of logical rules, thus leading to a new, attractive approach to the foundations of logic. The book addresses readers interested in philosophy of language, philosophical and mathematical logic, theories of reasoning, and also those who actively engage in current debates involving, for example, logical revision, and the relationship between logic and reasoning, from advanced undergraduates, to professional philosophers, mathematicians, and linguists.

Don Pigozzi on Abstract Algebraic Logic Universal Algebra and Computer Science

Don Pigozzi on Abstract Algebraic Logic  Universal Algebra  and Computer Science Book
Author : Janusz Czelakowski
Publisher : Springer
Release : 2018-03-20
ISBN : 331974772X
File Size : 37,8 Mb
Language : En, Es, Fr and De

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Don Pigozzi on Abstract Algebraic Logic Universal Algebra and Computer Science Book PDF/Epub Download

This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.

A General Algebraic Semantics for Sentential Logics

A General Algebraic Semantics for Sentential Logics Book
Author : Josep Maria Font,Ramon Jansana
Publisher : Cambridge University Press
Release : 2017-03-02
ISBN : 1107167973
File Size : 41,9 Mb
Language : En, Es, Fr and De

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A General Algebraic Semantics for Sentential Logics Book PDF/Epub Download

An exposition of the approach to the algebraization of sentential logics developed by the Barcelona logic group.