Hajnal Andréka and István Németi on Unity of Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hajnal Andréka and István Németi on Unity of Science write by Judit Madarász. This book was released on 2021-05-31. Hajnal Andréka and István Németi on Unity of Science available in PDF, EPUB and Kindle. 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
Universal Algebraic Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebraic Logic write by Hajnal Andréka. This book was released on 2022-11-01. Universal Algebraic Logic available in PDF, EPUB and Kindle. 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
Relational and Algebraic Methods in Computer Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Relational and Algebraic Methods in Computer Science write by Roland Glück. This book was released on 2023-03-07. Relational and Algebraic Methods in Computer Science available in PDF, EPUB and Kindle. 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
Category Theory in Physics, Mathematics, and Philosophy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Category Theory in Physics, Mathematics, and Philosophy write by Marek Kuś. This book was released on 2019-11-11. Category Theory in Physics, Mathematics, and Philosophy available in PDF, EPUB and Kindle. 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
Foundations of Information and Knowledge Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Information and Knowledge Systems write by Ivan Varzinczak. This book was released on 2022-07-09. Foundations of Information and Knowledge Systems available in PDF, EPUB and Kindle. 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.
