Hajnal Andreka And Istvan Nemeti On Unity Of Science

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Hajnal Andréka and István Németi on Unity of Science

Author : Judit Madarász
Publisher : Springer Nature
ISBN 13 : 3030641872
Total Pages : 517 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Hajnal Andréka and István Németi on Unity of Science by : Judit Madarász

Download or read book Hajnal Andréka and István Németi on Unity of Science written by Judit Madarász and published by Springer Nature. This book was released on 2021-05-31 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.

Universal Algebraic Logic

Author : Hajnal Andréka
Publisher : Springer Nature
ISBN 13 : 3031148878
Total Pages : 337 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Universal Algebraic Logic by : Hajnal Andréka

Download or read book Universal Algebraic Logic written by Hajnal Andréka and published by Springer Nature. This book was released on 2022-11-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to Universal Algebraic Logic. The three main themes are (i) universal logic and the question of what logic is, (ii) duality theories between the world of logics and the world of algebra, and (iii) Tarskian algebraic logic proper including algebras of relations of various ranks, cylindric algebras, relation algebras, polyadic algebras and other kinds of algebras of logic. One of the strengths of our approach is that it is directly applicable to a wide range of logics including not only propositional logics but also e.g. classical first order logic and other quantifier logics. Following the Tarskian tradition, besides the connections between logic and algebra, related logical connections with geometry and eventually spacetime geometry leading up to relativity are also part of the perspective of the book. Besides Tarskian algebraizations of logics, category theoretical perspectives are also touched upon. This book, apart from being a monograph containing state of the art results in algebraic logic, can be used as the basis for a number of different courses intended for both novices and more experienced students of logic, mathematics, or philosophy. For instance, the first two chapters can be used in their own right as a crash course in Universal Algebra.

Relational and Algebraic Methods in Computer Science

Author : Roland Glück
Publisher : Springer Nature
ISBN 13 : 3031280830
Total Pages : 309 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Relational and Algebraic Methods in Computer Science by : Roland Glück

Download or read book Relational and Algebraic Methods in Computer Science written by Roland Glück and published by Springer Nature. This book was released on 2023-03-07 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2023, which took place in Augsburg, Germany, during April 3–6, 2023. The 17 papers presented in this book were carefully reviewed and selected from 26 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond. Apart from the submitted articles, this volume features the abstracts of the presentations of the three invited speakers.

Category Theory in Physics, Mathematics, and Philosophy

Author : Marek Kuś
Publisher : Springer Nature
ISBN 13 : 3030308960
Total Pages : 139 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Category Theory in Physics, Mathematics, and Philosophy by : Marek Kuś

Download or read book Category Theory in Physics, Mathematics, and Philosophy written by Marek Kuś and published by Springer Nature. This book was released on 2019-11-11 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science.

Foundations of Information and Knowledge Systems

Author : Ivan Varzinczak
Publisher : Springer Nature
ISBN 13 : 3031113217
Total Pages : 254 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Foundations of Information and Knowledge Systems by : Ivan Varzinczak

Download or read book Foundations of Information and Knowledge Systems written by Ivan Varzinczak and published by Springer Nature. This book was released on 2022-07-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2022, held in Helsinki, Finland, in June 2022. The 13 full papers presented were carefully reviewed and selected from 21 submissions. The papers address various topics such as information and knowledge systems, including submissions that apply ideas, theories or methods from specific disciplines to information and knowledge systems. Examples of such disciplines are discrete mathematics, logic and algebra, model theory, databases, information theory, complexity theory, algorithmics and computation, statistics and optimization.

Structure and Equivalence

Author : Neil Dewar
Publisher : Cambridge University Press
ISBN 13 : 1108910467
Total Pages : 82 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Structure and Equivalence by : Neil Dewar

Download or read book Structure and Equivalence written by Neil Dewar and published by Cambridge University Press. This book was released on 2022-03-17 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element explores what it means for two theories in physics to be equivalent (or inequivalent), and what lessons can be drawn about their structure as a result. It does so through a twofold approach. On the one hand, it provides a synoptic overview of the logical tools that have been employed in recent philosophy of physics to explore these topics: definition, translation, Ramsey sentences, and category theory. On the other, it provides a detailed case study of how these ideas may be applied to understand the dynamical and spatiotemporal structure of Newtonian mechanics - in particular, in light of the symmetries of Newtonian theory. In so doing, it brings together a great deal of exciting recent work in the literature, and is sure to be a valuable companion for all those interested in these topics.

Background Independence in Classical and Quantum Gravity

Author : James Read
Publisher : Oxford University Press
ISBN 13 : 0192889117
Total Pages : 159 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Background Independence in Classical and Quantum Gravity by : James Read

Download or read book Background Independence in Classical and Quantum Gravity written by James Read and published by Oxford University Press. This book was released on 2024-02-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is often claimed that Einstein's magnum opus---his 1915 theory of General Relativity---is distinguished from other theories of space and time in virtue of its background independence. It's also often claimed that background independence is an essential feature of any quantum theory of gravity. But are these claims true? This book aspires to offer definitive answers to both of these questions, by (a) charting the space of possible definitions of background independence, and (b) applying said definitions to various classical and quantum theories of gravity. The outcome, in brief, is as follows: General Relativity is not unique by virtue of its background independence (and, indeed, fails to be background independent on some popular definitions); moreover, the situation in the case of quantum theories of gravity is delicate, because (i) there are viable such theories which (by some accounts, at least) fail to be background independent, but also (ii) theories (e.g. perturbative string theory) which have often been dismissed for (allegedly) being background dependent in fact, on many accounts, are better classified as background independent. In giving these answers in rigorous detail, this book seeks to elevate the standards and generality of future discussions of background independence in the foundations of spacetime theories.

Logic, Rationality, and Interaction

Author : Patrick Blackburn
Publisher : Springer Nature
ISBN 13 : 366260292X
Total Pages : 460 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Logic, Rationality, and Interaction by : Patrick Blackburn

Download or read book Logic, Rationality, and Interaction written by Patrick Blackburn and published by Springer Nature. This book was released on 2019-10-09 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This LNCS book is part of the FOLLI book series and constitutes the proceedings of the 7th International Workshop on Logic, Rationality, and Interaction, LORI 2019, held in Chongqing, China, in October 2019. The 31 papers presented in this book were carefully reviewed and selected from 56 submissions. They focus on the following topics: agency; argumentation and agreement; belief revision and belief merging; belief representation; cooperation; decision making and planning; natural language; philosophy and philosophical logic; and strategic reasoning.

Formal and Informal Methods in Philosophy

Author :
Publisher : BRILL
ISBN 13 : 9004420509
Total Pages : 328 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Formal and Informal Methods in Philosophy by :

Download or read book Formal and Informal Methods in Philosophy written by and published by BRILL. This book was released on 2020-03-31 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the tension between formal and informal methods in philosophy. The rise of analytic philosophy was accompanied by the development of formal logic and many successful applications of formal methods. But analytical philosophy does not rely on formal methods alone. Elements of broadly understood informal logic and logical semiotics, procedures used in natural sciences and humanities, and various kinds of intuition also belong to the philosopher’s toolkit. Papers gathered in the book concern the opposition formality–informality as well as other pairs, such as methodology versus metaphilosophy, interdisciplinarity versus intradisciplinarity, and methodological uniformity versus diversity of sciences. Problems of the nature of logic and the explanatory role of mathematical theories are also discussed.

The Classical–Quantum Correspondence

Author : Benjamin H. Feintzeig
Publisher : Cambridge University Press
ISBN 13 : 1009049941
Total Pages : 141 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis The Classical–Quantum Correspondence by : Benjamin H. Feintzeig

Download or read book The Classical–Quantum Correspondence written by Benjamin H. Feintzeig and published by Cambridge University Press. This book was released on 2023-01-31 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element provides an entry point for philosophical engagement with quantization and the classical limit. It introduces the mathematical tools of C*-algebras as they are used to compare classical and quantum physics. It then employs those tools to investigate philosophical issues surrounding theory change in physics. It discusses examples in which quantization bears on the topics of reduction, structural continuity, analogical reasoning, and theory construction. In doing so, it demonstrates that the precise mathematical tools of algebraic quantum theory can aid philosophers of science and philosophers of physics.

Logic and Argumentation

Author : Mehdi Dastani
Publisher : Springer Nature
ISBN 13 : 3030446387
Total Pages : 369 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Logic and Argumentation by : Mehdi Dastani

Download or read book Logic and Argumentation written by Mehdi Dastani and published by Springer Nature. This book was released on 2020-03-27 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Logic and Argumentation, CLAR 2020, held in Hangzhou, China, in April 2020. The 14 full and 7 short papers presented were carefully reviewed and selected from 31 submissions. The papers cover the focus of the CLAR series, including formal models of argumentation, logics for decision making and uncertainreasoning, formal models of evidence, con rmation, and justi cation, logics forgroup cognition and social network, reasoning about norms, formal representationsof natural language and legal texts, as well as applications of argumentationon climate engineering.

Rules and Reasoning

Author : Sabrina Kirrane
Publisher : Springer Nature
ISBN 13 : 3031724070
Total Pages : 268 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Rules and Reasoning by : Sabrina Kirrane

Download or read book Rules and Reasoning written by Sabrina Kirrane and published by Springer Nature. This book was released on with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aristotelian Assertoric Syllogistic

Author : Mohamed A. Amer
Publisher : Springer Nature
ISBN 13 : 3030873412
Total Pages : 100 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Aristotelian Assertoric Syllogistic by : Mohamed A. Amer

Download or read book Aristotelian Assertoric Syllogistic written by Mohamed A. Amer and published by Springer Nature. This book was released on 2022-03-16 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a treatise on Aristotelian assertoric syllogistic, which is currently of growing interest. Some centuries ago, it attracted the attention of the founders of modern logic, who approached it in several (semantical and syntactical) ways. Further approaches were introduced later on. In this book these approaches (with few exceptions) are discussed, developed and interrelated. Among other things, different facets of soundness, completeness, decidability, and independence for Aristotelian assertoric syllogistic are investigated. Specifically arithmetization (Leibniz), algebraization (Leibniz and Boole), and Venn models (Euler and Venn) are examined. The book is aimed at scholars in the fields of logic and history of logic.

Cylindric-like Algebras and Algebraic Logic

Author : Hajnal Andréka
Publisher : Springer Science & Business Media
ISBN 13 : 3642350259
Total Pages : 457 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Cylindric-like Algebras and Algebraic Logic by : Hajnal Andréka

Download or read book Cylindric-like Algebras and Algebraic Logic written by Hajnal Andréka and published by Springer Science & Business Media. This book was released on 2014-01-27 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scientific Structuralism

Author : Alisa Bokulich
Publisher : Springer Science & Business Media
ISBN 13 : 9048195977
Total Pages : 194 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Scientific Structuralism by : Alisa Bokulich

Download or read book Scientific Structuralism written by Alisa Bokulich and published by Springer Science & Business Media. This book was released on 2011-01-21 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently there has been a revival of interest in structuralist approaches to science. Taking their lead from scientific structuralists such as Henri Poincaré, Ernst Cassirer, and Bertrand Russell, some contemporary philosophers and scientists have argued that the most fruitful approach to solving many problems in the philosophy of science lies in focusing on the structural features of our scientific theories. Much of the work in scientific structuralism to date has been focused on the problem of scientific realism, where it has been argued that even in cases of radical theory change the most important structural features of predecessor theories are preserved. These structural realists argue that what our most successful theories get right about the world is these abstract structural features, rather than any particular ontological claims. More recently, philosophers of science have adopted structuralist approaches to many other issues in the philosophy of science, such as scientific explanation and intertheory relations. The nine articles collected in this volume, written by the leading researchers in scientific structuralism, represent some of the most important directions of research in this field. This book will be of particular interest to those philosophers, scientists, and mathematicians who are interested in the foundations of science.

Johan van Benthem on Logic and Information Dynamics

Author : Alexandru Baltag
Publisher : Springer
ISBN 13 : 3319060252
Total Pages : 1072 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Johan van Benthem on Logic and Information Dynamics by : Alexandru Baltag

Download or read book Johan van Benthem on Logic and Information Dynamics written by Alexandru Baltag and published by Springer. This book was released on 2014-08-27 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the program of Logical-Informational Dynamics. Rational agents exploit the information available in the world in delicate ways, adopt a wide range of epistemic attitudes, and in that process, constantly change the world itself. Logical-Informational Dynamics is about logical systems putting such activities at center stage, focusing on the events by which we acquire information and change attitudes. Its contributions show many current logics of information and change at work, often in multi-agent settings where social behavior is essential, and often stressing Johan van Benthem's pioneering work in establishing this program. However, this is not a Festschrift, but a rich tapestry for a field with a wealth of strands of its own. The reader will see the state of the art in such topics as information update, belief change, preference, learning over time, and strategic interaction in games. Moreover, no tight boundary has been enforced, and some chapters add more general mathematical or philosophical foundations or links to current trends in computer science. The theme of this book lies at the interface of many disciplines. Logic is the main methodology, but the various chapters cross easily between mathematics, computer science, philosophy, linguistics, cognitive and social sciences, while also ranging from pure theory to empirical work. Accordingly, the authors of this book represent a wide variety of original thinkers from different research communities. And their interconnected themes challenge at the same time how we think of logic, philosophy and computation. Thus, very much in line with van Benthem's work over many decades, the volume shows how all these disciplines form a natural unity in the perspective of dynamic logicians (broadly conceived) exploring their new themes today. And at the same time, in doing so, it offers a broader conception of logic with a certain grandeur, moving its horizons beyond the traditional study of consequence relations.

Beyond Spacetime

Author : Nick Huggett
Publisher : Cambridge University Press
ISBN 13 : 110847702X
Total Pages : 371 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Beyond Spacetime by : Nick Huggett

Download or read book Beyond Spacetime written by Nick Huggett and published by Cambridge University Press. This book was released on 2020-05-14 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of essays discussing the philosophy and foundations of quantum gravity. Written by leading philosophers and physicists in the field, chapters cover the important conceptual questions in the search for a quantum theory of gravity, and the current state of understanding among philosophers and physicists.