The Development Of Modern Logic
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The Development Of Modern Logic
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Author : Leila Haaparanta
language : en
Publisher: OUP USA
Release Date : 2009-06-18
The Development Of Modern Logic written by Leila Haaparanta and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-18 with Philosophy categories.
This volume contains newly-commissioned articles covering the development of modern logic from the late medieval period (fourteenth century) through the end of the twentieth-century. It is the first volume to discuss the field with this breadth of coverage and depth. It will appeal to scholars and students of philosophical logic and the philosophy of logic.
The Logical Legacy Of Nikolai Vasiliev And Modern Logic
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Author : Vladimir Markin
language : en
Publisher: Springer
Release Date : 2017-11-21
The Logical Legacy Of Nikolai Vasiliev And Modern Logic written by Vladimir Markin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-21 with Philosophy categories.
This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ontology. Chapters range from a look at the Heuristic and Conceptual Background of Vasiliev's Imaginary Logic to Generalized Vasiliev-style Propositions. It includes works which cover Imaginary and Non-Aristotelian Logics, Inconsistent Set Theory and the Expansion of Mathematical Thinking, Plurivalent Logic, and the Impact of Vasiliev's Imaginary Logic on Epistemic Logic. The Russian logician, Vasiliev, was widely recognized as one of the forerunners of modern non-classical logic. His "imaginary logic" developed in some of his work at the beginning of 20th century is often considered to be one of the first systems of paraconsistent and multi-valued logic. The novelty of his logical project has opened up prospects for modern logic as well as for non-classical science in general. This volume contains a selection of papers written by modern specialists in the field and deals with various aspects of Vasiliev's logical ideas. The logical legacy of Nikolai Vasiliev can serve as a promising source for developing an impressive range of philosophical interpretations, as it marries promising technical innovations with challenging philosophical insights.
Logic And Its Applications
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Author : Mohua Banerjee
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-14
Logic And Its Applications written by Mohua Banerjee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-14 with Computers categories.
Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 4th Indian Conference on Logic and Its Applications, ICLA 2011, held in Delhi, India, in January 2011. The 14 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 34 submissions. The papers present current research in all aspects of formal logic ranging from pure and applied logic to history of logic.
The Rise Of Modern Logic From Leibniz To Frege
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Author : Dov M. Gabbay
language : en
Publisher: Elsevier
Release Date : 2004-03-08
The Rise Of Modern Logic From Leibniz To Frege written by Dov M. Gabbay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Mathematics categories.
With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.
Aspects Of Modern Logic
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Author : E.W. Beth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Aspects Of Modern Logic written by E.W. Beth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
It is common to consider an area of science as a system of real or sup posed truths which not only continuously extends itself, but also needs periodical revision and therefore tests the inventive capacity of each generation of scholars anew. It sounds highly implausible that a science at one time would be completed, that at that point within its scope there would be no problems left to solve. Indeed, the solution of a scientific problem inevitably raises new questions, so that our eagerness for knowledge will never find lasting satisfaction. Nevertheless there is one science which seems to form an exception to this rule, formal logic, the theory of rigorous argumentation. It seems to have reached the ideal endpoint of every scientific aspiration already very shortly after its inception; using the work of some predecessors, Aristotle, or so it is at least assumed by many, has brought this branch of science once and for all to a conclusion. Of course this doesn't sound that implausible. We apparently know what rigorous argumentation is; otherwise various sciences, in particular pure mathematics, would be completely impossible. And if we know what rigorous argumentation is, then it cannot be difficult to trace once and for all the rules which govern it. The unique subject of formal logic would therefore entail that this science, in variance with the rule which holds for all other sciences, has been able to reach completion at a certain point in history.
The Oxford Handbook Of The History Of Analytic Philosophy
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Author : Michael Beaney
language : en
Publisher: Oxford Handbooks
Release Date : 2013-06-20
The Oxford Handbook Of The History Of Analytic Philosophy written by Michael Beaney and has been published by Oxford Handbooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Philosophy categories.
The main stream of academic philosophy, in Anglophone countries and increasingly worldwide, is identified by the name 'analytic'. The study of its history, from the 19th century to the late 20th, has boomed in recent years. These specially commissioned essays by forty leading scholars constitute the most comprehensive book on the subject.
Louis Couturat The History Of Modern Symbolic Logic And Other French Manuscripts
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Author : Oliver Schlaudt
language : en
Publisher: Springer Nature
Release Date : 2021-09-16
Louis Couturat The History Of Modern Symbolic Logic And Other French Manuscripts written by Oliver Schlaudt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-16 with Mathematics categories.
This volume features a critical edition of the recently rediscovered manuscripts written by the French philosopher Louis Couturat (1868-1914). It includes the transcriptions of three of his believed to be lost manuscripts: first the “Cours de Caen: 1898-99” on various systems of symbolic logic, second his lecture at the Collège de France “Histoire de la logique formelle moderne", and third his textbook on mathematical logic. The manuscripts document the early reception of mathematical logic in France and provide insights into the first introduction of the French reader to the work of Gottlob Frege and Bertrand Russell. It is the aim of the editors of this volume to contribute to the history of symbolic logic, particularly the history of its dissemination and its teaching in France. At the same time, the volume contributes to an alternative history and conception of philosophy in which semiotics and concrete mathematical practice stand in focus. The book is interesting for students and researchers in the history of philosophy, mathematics, and logic.
Peirce
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Author : Albert Atkin
language : en
Publisher: Routledge
Release Date : 2015-06-26
Peirce written by Albert Atkin and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Philosophy categories.
Charles Sanders Peirce (1839-1914) is generally regarded as the founder of pragmatism, and one of the greatest ever American philosophers. Peirce is also widely known for his work on truth, his foundational work in mathematical logic, and an influential theory of signs, or semiotics. Albert Atkin introduces the full spectrum of Peirce’s thought for those coming to his work for the first time. The book begins with an overview of Peirce’s life and work, considering his early and long-standing interest in logic and science, and highlighting important views on the structure of philosophical thought. Atkin then explains Peirce’s accounts of pragmatism and truth examining important later developments to these theories. He then introduces Peirce’s full accounts of semiotics, examines his foundational work on formal and graphical logic, and introduces Peirce’s account of metaphysics, the least understood aspect of his philosophy. The final chapter considers Peirce’s legacy and influence on the thought of philosophers such as John Dewey and Richard Rorty, as well as highlighting areas where Peirce’s ideas could still provide important insights for contemporary philosophers. Including chapter summaries, suggestions for further reading and a glossary, this invaluable introduction and guide to Peirce’s philosophy is essential reading for those new to his work.
The Development Of Logic
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Author : William Calvert Kneale
language : en
Publisher: Oxford University Press
Release Date : 1962
The Development Of Logic written by William Calvert Kneale 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 1962 with Philosophy categories.
This book traces the development of formal logic from its origins in ancient Greece to the present day. The authors first discuss the work of logicians from Aristotle to Frege, showing how they were influenced by the philosophical or mathematical ideas of their time. They then examine developments in the present century.
History And Applications
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Author : Ahti-Veikko Pietarinen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-12-16
History And Applications written by Ahti-Veikko Pietarinen 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 Philosophy categories.
In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S. Peirce’s most important late writings. Among the most influential American thinkers, Peirce took his existential graphs to be a significant contribution to human thought. The manuscripts from 1895–1913, with many of them being published here for the first time, testify to the richness and open-endedness of his theory of logic and its applications. They also invite us to reconsider our ordinary conceptions of reasoning as well as the conventional stories concerning the evolution of modern logic. This first volume of Logic of the Future is on the historical development, theory and application of Peirce’s graphical method and diagrammatic reasoning. It also illustrates the abundant further developments and applications Peirce envisaged existential graphs to have on the analysis of mathematics, language, meaning and mind.