Logic A History Of Its Central Concepts
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Logic A History Of Its Central Concepts
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Author : Dov M. Gabbay
language : en
Publisher: Newnes
Release Date : 2012-12-31
Logic A History Of Its Central Concepts written by Dov M. Gabbay and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-31 with Mathematics categories.
The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. - Covers in depth the notion of logical consequence - Discusses the central concept in logic of modality - Includes the use of diagrams in logical reasoning
Fuzzy Logic And Mathematics
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Author : Radim Belohlavek
language : en
Publisher: Oxford University Press
Release Date : 2017-05-03
Fuzzy Logic And Mathematics written by Radim Belohlavek and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-03 with Philosophy categories.
The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.
Handbook Of The History Of Logic Logic A History Of Its Central Concepts
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Author : Dov M. Gabbay
language : en
Publisher:
Release Date : 2004
Handbook Of The History Of Logic Logic A History Of Its Central Concepts written by Dov M. Gabbay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Logic categories.
John Venn Unpublished Writings And Selected Correspondence
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Author : Lukas M. Verburgt
language : en
Publisher: Springer Nature
Release Date : 2021-11-25
John Venn Unpublished Writings And Selected Correspondence written by Lukas M. Verburgt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-25 with Science categories.
This is the first book to present a carefully chosen and annotated selection of the unpublished writings and correspondence of the English logician John Venn (1834-1923). Today remembered mainly as the inventor of the famous diagram that bears his name, Venn was an important figure of nineteenth-century Cambridge, where he worked alongside leading thinkers, such as Henry Sidgwick and Alfred Marshall, on the development of the Moral Sciences Tripos. Venn published three influential textbooks on logic, contributed some dozen articles to the then newly-established journal Mind, of which he became co-editor in 1892, and counted F.W. Maitland, William Cunningham and Arthur Balfour among his pupils. After his active career as a logician, which ended around the turn of the 20th century, Venn reinvented himself as a biographer of his University, College and family. Together with his son, he worked on the massive Alumni Cantabrigienses, which is still used today as a standard reference source. The material presented here, including the 100-page Annals: Autobiographical Sketch, provides much new information on Venn's philosophical development and Cambridge in the 1850s-60s. It also brings to light Venn's relation with famous colleagues and friends, such as Leslie Stephen, Francis Galton, and William Stanley Jevons, thereby placing him at the heart of Victorian intellectual life.
Duality In 19th And 20th Century Mathematical Thinking
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Author : Ralf Krömer
language : en
Publisher: Springer Nature
Release Date : 2024-07-01
Duality In 19th And 20th Century Mathematical Thinking written by Ralf Krömer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.
This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general. The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.
Symbolic And Quantitative Approaches To Reasoning With Uncertainty
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Author : Jiřina Vejnarová
language : en
Publisher: Springer Nature
Release Date : 2021-09-21
Symbolic And Quantitative Approaches To Reasoning With Uncertainty written by Jiřina Vejnarová and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-21 with Computers categories.
This book constitutes the refereed proceedings of the 16th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2021, held in Prague, Czech Republic, in September 2021. The 48 full papers presented in this volume were carefully reviewed and selected from 63 submissions. The papers are organized in topical sections about argumentation and analogical reasoning, Bayesian networks and graphical models, belief functions, imprecise probability, inconsistency handling and preferences, possibility theory and fuzzy approaches, and probability logic.
Science Communication
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Author : Annette Leßmöllmann
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-12-16
Science Communication written by Annette Leßmöllmann and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-16 with Language Arts & Disciplines categories.
The volume gives a multi-perspective overview of scholarly and science communication, exploring its diverse functions, modalities, interactional structures, and dynamics in a rapidly changing world. In addition, it provides a guide to current research approaches and traditions on communication in many disciplines, including the humanities, technology, social and natural sciences, and on forms of communication with a wide range of audiences.
Intelligent Computing
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Author : Kohei Arai
language : en
Publisher: Springer Nature
Release Date : 2022-07-06
Intelligent Computing written by Kohei Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-06 with Technology & Engineering categories.
The book, “Intelligent Computing - Proceedings of the 2022 Computing Conference”, is a comprehensive collection of chapters focusing on the core areas of computing and their further applications in the real world. Each chapter is a paper presented at the Computing Conference 2022 held on July 14-15, 2022. Computing 2022 attracted a total of 498 submissions which underwent a double-blind peer-review process. Of those 498 submissions, 179 submissions have been selected to be included in this book. The goal of this conference is to give a platform to researchers with fundamental contributions and to be a premier venue for academic and industry practitioners to share new ideas and development experiences. We hope that readers find this book interesting and valuable as it provides the state-of-the-art intelligent methods and techniques for solving real-world problems. We also expect that the conference and its publications will be a trigger for further related research and technology improvements in this important subject.
Negation And Nonveridicality In The History Of Greek
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Author : Katerina Chatzopoulou
language : en
Publisher: Oxford University Press, USA
Release Date : 2019
Negation And Nonveridicality In The History Of Greek written by Katerina Chatzopoulou and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Foreign Language Study categories.
This book provides a thorough investigation of the expression of sentential negation in the history of Greek, based on extensive data from major stages of the language. It also provides a new semantic interpretation of Jespersen's cycle that explains the Greek developments and those in other languages.
Diagrammatic Representation And Inference
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Author : Amrita Basu
language : en
Publisher: Springer Nature
Release Date : 2021-09-21
Diagrammatic Representation And Inference written by Amrita Basu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-21 with Computers categories.
This book constitutes the refereed proceedings of the 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021, held virtually in September 2021. The 16 full papers and 25 short papers presented together with 16 posters were carefully reviewed and selected from 94 submissions. The papers are organized in the following topical sections: design of concrete diagrams; theory of diagrams; diagrams and mathematics; diagrams and logic; new representation systems; analysis of diagrams; diagrams and computation; cognitive analysis; diagrams as structural tools; formal diagrams; and understanding thought processes. 10 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.