Download or read book Studies on the History of Logic written by Ignacio Angelelli and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-03-09 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Studies on the History of Logic".
Download or read book Studies in the History of Logic written by Nicholas Rescher and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: It must be acknowledged that the essays presented here do not constitute a systematic account of any sort but represent occasional forays. Some deal with matters that happened to evoke Rescher’s interest, others grew out of a chance encounter with a text he deemed to be of particular value. Throughout, challenges of the work itself more than compensated the author’s efforts. Logic has always been of crucially important concern to philosophers. Rescher’s own involvement with the history of logic goes back to his work on Leibniz in the 1950’s (represented by Chapter 8 of the present book). Thereafter, during the 1960’s he devoted considerable effort to the contributions of the medieval logicians of the Arabic-using world (here represented in Chapters 2-6). Moreover, Rescher have from time to time returned to the area to look at some aspects of the more recent scene, as Chapters 8-9 illustrate. In some instances the present essays have been overtaken by subsequent events-events which in fact helped to promote. This is true in particular in chapter 6’s work on Arabic work regarding temporal modalities, which was instrumental in evoking the important contributions of Tony Street of Cambridge University.
Download or read book The Evolution of Logic written by W. D. Hart and published by Cambridge University Press. This book was released on 2010-08-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.
Download or read book Studies in Logic written by Charles Sanders Peirce and published by . This book was released on 1883 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: "These papers, the work of my students, have been so instructive to me, that I have asked and obtained permission to publish them in one volume. Two of them present new developments of the logical algebra of Boole. The volume contains two other papers relating to deductive logic and two papers upon inductive logic"--Preface. (PsycINFO Database Record (c) 2010 APA, all rights reserved)
Download or read book Essays in the Philosophy and History of Logic and Mathematics written by Roman Murawski and published by BRILL. This book was released on 2015-06-29 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.
Download or read book Studies in the History of Mathematical Logic written by Stanisław J. Surma and published by . This book was released on 1973 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Development of Logic written by William Calvert Kneale and published by . This book was released on 1978 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Evolution of Reason written by William S. Cooper and published by Cambridge University Press. This book was released on 2001 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The formal systems of logic have ordinarily been regarded as independent of biology, but recent developments in evolutionary theory suggest that biology and logic may be intimately interrelated. In this book, William Cooper outlines a theory of rationality in which logical law emerges as an intrinsic aspect of evolutionary biology. This biological perspective on logic, though at present unorthodox, could change traditional ideas about the reasoning process. Cooper examines the connections between logic and evolutionary biology and illustrates how logical rules are derived directly from evolutionary principles, and therefore have no independent status of their own. Laws of decision theory, utility theory, induction, and deduction are reinterpreted as natural consequences of evolutionary processes. Cooper's connection of logical law to evolutionary theory ultimately results in a unified foundation for an evolutionary science of reason. It will be of interest to professionals and students of philosophy of science, logic, evolutionary theory, and cognitive science.
Download or read book Logic A History of its Central Concepts written by Dov M. Gabbay and published by Newnes. This book was released on 2012-12-31 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Reasoning and the Logic of Things written by Charles Sanders Peirce and published by Harvard University Press. This book was released on 1992 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.
Download or read book If A Then B written by Michael Shenefelt and published by Columbia University Press. This book was released on 2013-06-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: While logical principles seem timeless, placeless, and eternal, their discovery is a story of personal accidents, political tragedies, and broad social change. If A, Then B begins with logic's emergence twenty-three centuries ago and tracks its expansion as a discipline ever since. It explores where our sense of logic comes from and what it really is a sense of. It also explains what drove human beings to start studying logic in the first place. Logic is more than the work of logicians alone. Its discoveries have survived only because logicians have also been able to find a willing audience, and audiences are a consequence of social forces affecting large numbers of people, quite apart from individual will. This study therefore treats politics, economics, technology, and geography as fundamental factors in generating an audience for logic--grounding the discipline's abstract principles in a compelling material narrative. The authors explain the turbulent times of the enigmatic Aristotle, the ancient Stoic Chrysippus, the medieval theologian Peter Abelard, and the modern thinkers René Descartes, David Hume, Jeremy Bentham, George Boole, Augustus De Morgan, John Stuart Mill, Gottlob Frege, Bertrand Russell, and Alan Turing. Examining a variety of mysteries, such as why so many branches of logic (syllogistic, Stoic, inductive, and symbolic) have arisen only in particular places and periods, If A, Then B is the first book to situate the history of logic within the movements of a larger social world. If A, Then B is the 2013 Gold Medal winner of Foreword Reviews' IndieFab Book of the Year Award for Philosophy.
Download or read book Handbook of the Logic of Argument and Inference written by R.H. Johnson and published by Elsevier. This book was released on 2002-09-11 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters of criticism; one the internal critique and the other the empirical critique. The first deals with objections to standard logics (as theories of argument and inference) arising from the research programme in philosophical logic. The second canvasses criticisms arising from work in cognitive and experimental psychology. The next five chapters deal with developments in dialogue logic, interrogative logic, informal logic, probability logic and artificial intelligence. The last chapter surveys formal approaches to practical reasoning and anticipates possible future developments. Taken as a whole the Handbook is a single-volume indication of the present state of the logic of argument and inference at its conceptual and theoretical best. Future editions will periodically incorporate significant new developments.
Download or read book Logics of History written by William H. Sewell Jr. and published by University of Chicago Press. This book was released on 2009-07-27 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: While social scientists and historians have been exchanging ideas for a long time, they have never developed a proper dialogue about social theory. William H. Sewell Jr. observes that on questions of theory the communication has been mostly one way: from social science to history. Logics of History argues that both history and the social sciences have something crucial to offer each other. While historians do not think of themselves as theorists, they know something social scientists do not: how to think about the temporalities of social life. On the other hand, while social scientists’ treatments of temporality are usually clumsy, their theoretical sophistication and penchant for structural accounts of social life could offer much to historians. Renowned for his work at the crossroads of history, sociology, political science, and anthropology, Sewell argues that only by combining a more sophisticated understanding of historical time with a concern for larger theoretical questions can a satisfying social theory emerge. In Logics of History, he reveals the shape such an engagement could take, some of the topics it could illuminate, and how it might affect both sides of the disciplinary divide.
Download or read book George Boole written by Ivor Grattan-Guinness and published by Birkhäuser. This book was released on 2013-03-07 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread world-wide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a non-technical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written.
Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Leibniz and the Structure of Sciences written by Vincenzo De Risi and published by Springer Nature. This book was released on 2020-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.
Download or read book Language Logic and Mathematics in Schopenhauer written by Jens Lemanski and published by Springer Nature. This book was released on 2020-06-08 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.
