Studies In The History Of Logic

Author : Nicholas Rescher
Publisher : Walter de Gruyter
Page : 197 pages
File Size : 52,9 Mb
Release : 2013-05-02
Category : Philosophy
ISBN : 9783110326444

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Studies in the History of Logic by Nicholas Rescher Pdf

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.

Author : Jean Cavailles
Publisher : MIT Press
Page : 143 pages
File Size : 53,9 Mb
Release : 2021-04-27
Category : Philosophy
ISBN : 9781913029418

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On Logic and the Theory of Science by Jean Cavailles Pdf

A new translation of the final work of French philosopher Jean Cavaillès. In this short, dense essay, Jean Cavaillès evaluates philosophical efforts to determine the origin—logical or ontological—of scientific thought, arguing that, rather than seeking to found science in original intentional acts, a priori meanings, or foundational logical relations, any adequate theory must involve a history of the concept. Cavaillès insists on a historical epistemology that is conceptual rather than phenomenological, and a logic that is dialectical rather than transcendental. His famous call (cited by Foucault) to abandon "a philosophy of consciousness" for "a philosophy of the concept" was crucial in displacing the focus of philosophical enquiry from aprioristic foundations toward structural historical shifts in the conceptual fabric. This new translation of Cavaillès's final work, written in 1942 during his imprisonment for Resistance activities, presents an opportunity to reencounter an original and lucid thinker. Cavaillès's subtle adjudication between positivistic claims that science has no need of philosophy, and philosophers' obstinate disregard for actual scientific events, speaks to a dilemma that remains pertinent for us today. His affirmation of the authority of scientific thinking combined with his commitment to conceptual creation yields a radical defense of the freedom of thought and the possibility of the new.

Author : Ignacio Angelelli,María Cerezo
Publisher : Walter de Gruyter GmbH & Co KG
Page : 436 pages
File Size : 44,6 Mb
Release : 2020-03-09
Category : Philosophy
ISBN : 9783110903829

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Studies on the History of Logic by Ignacio Angelelli,María Cerezo Pdf

No detailed description available for "Studies on the History of Logic".

Author : Robert E. Bradley,Ed Sandifer
Publisher : Elsevier
Page : 542 pages
File Size : 40,6 Mb
Release : 2007-03-20
Category : Mathematics
ISBN : 0080471293

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Leonhard Euler by Robert E. Bradley,Ed Sandifer Pdf

The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich - New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova - New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century

Author : Stanisław J. Surma,Instytut filozofii i socjologii (Pologne)
Publisher : Unknown
Page : 296 pages
File Size : 43,6 Mb
Release : 1973
Category : Logic, Symbolic and mathematical
ISBN : IND:39000000137666

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Studies in the History of Mathematical Logic by Stanisław J. Surma,Instytut filozofii i socjologii (Pologne) Pdf

Author : Andrew Schumann
Publisher : Unknown
Page : 0 pages
File Size : 49,7 Mb
Release : 2013
Category : Analysis (Philosophy)
ISBN : 0761858911

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Logic in Central and Eastern Europe by Andrew Schumann Pdf

This book is a collection of rare material regarding logical and analytic-philosophical traditions in Central and Eastern European countries, covering the period from the late nineteenth century to the early twenty-first century. An encyclopedic feature covers the history of l...

Author : Dov M. Gabbay,Francis Jeffry Pelletier,John Woods
Publisher : Newnes
Page : 708 pages
File Size : 51,7 Mb
Release : 2012-12-31
Category : Mathematics
ISBN : 9780080931708

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Logic: A History of its Central Concepts by Dov M. Gabbay,Francis Jeffry Pelletier,John Woods Pdf

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

Author : Joseph M. Bochenski
Publisher : New York : Chelsea Publishing Company
Page : 616 pages
File Size : 43,9 Mb
Release : 1970
Category : Philosophy
ISBN : STANFORD:36105030779446

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A History of Formal Logic by Joseph M. Bochenski Pdf

Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Page : 780 pages
File Size : 46,9 Mb
Release : 2004-03-08
Category : Mathematics
ISBN : 9780080532875

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The Rise of Modern Logic: from Leibniz to Frege by Dov M. Gabbay,John Woods Pdf

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.

Author : Nicholas Rescher
Publisher : Pittsburgh, U. of Pittsburgh P
Page : 116 pages
File Size : 54,9 Mb
Release : 1964
Category : Philosophy
ISBN : IND:30000047729904

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Studies in the History of Arabic Logic by Nicholas Rescher Pdf

Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Page : 628 pages
File Size : 48,6 Mb
Release : 2004-02-06
Category : Mathematics
ISBN : 0080532861

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Greek, Indian and Arabic Logic by Dov M. Gabbay,John Woods Pdf

Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to Gödel, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central. In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world. Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value. Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscience, linguistics, forensics, philosophy and the history of philosophy, and the history of ideas.

Author : Stanley Rosen
Publisher : University of Chicago Press
Page : 518 pages
File Size : 54,7 Mb
Release : 2013-11-15
Category : Philosophy
ISBN : 9780226065915

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The Idea of Hegel's "Science of Logic" by Stanley Rosen Pdf

Although Hegel considered Science of Logic essential to his philosophy, it has received scant commentary compared with the other three books he published in his lifetime. Here philosopher Stanley Rosen rescues the Science of Logic from obscurity, arguing that its neglect is responsible for contemporary philosophy’s fracture into many different and opposed schools of thought. Through deep and careful analysis, Rosen sheds new light on the precise problems that animate Hegel’s overlooked book and their tremendous significance to philosophical conceptions of logic and reason. Rosen’s overarching question is how, if at all, rationalism can overcome the split between monism and dualism. Monism—which claims a singular essence for all things—ultimately leads to nihilism, while dualism, which claims multiple, irreducible essences, leads to what Rosen calls “the endless chatter of the history of philosophy.” The Science of Logic, he argues, is the fundamental text to offer a new conception of rationalism that might overcome this philosophical split. Leading readers through Hegel’s book from beginning to end, Rosen’s argument culminates in a masterful chapter on the Idea in Hegel. By fully appreciating the Science of Logic and situating it properly within Hegel’s oeuvre, Rosen in turn provides new tools for wrangling with the conceptual puzzles that have brought so many other philosophers to disaster.

Author : Thomas Drucker
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 42,7 Mb
Release : 2009-05-21
Category : Mathematics
ISBN : 9780817647698

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Perspectives on the History of Mathematical Logic by Thomas Drucker Pdf

This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.

Author : Georg Wilhelm Fredrich Hegel
Publisher : Cambridge University Press
Page : 865 pages
File Size : 44,8 Mb
Release : 2010-08-19
Category : Philosophy
ISBN : 9781139491358

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Georg Wilhelm Friedrich Hegel: The Science of Logic by Georg Wilhelm Fredrich Hegel Pdf

This translation of The Science of Logic (also known as 'Greater Logic') includes the revised Book I (1832), Book II (1813) and Book III (1816). Recent research has given us a detailed picture of the process that led Hegel to his final conception of the System and of the place of the Logic within it. We now understand how and why Hegel distanced himself from Schelling, how radical this break with his early mentor was, and to what extent it entailed a return (but with a difference) to Fichte and Kant. In the introduction to the volume, George Di Giovanni presents in synoptic form the results of recent scholarship on the subject, and, while recognizing the fault lines in Hegel's System that allow opposite interpretations, argues that the Logic marks the end of classical metaphysics. The translation is accompanied by a full apparatus of historical and explanatory notes.

Author : William Calvert Kneale,Martha Kneale
Publisher : Unknown
Page : 783 pages
File Size : 48,7 Mb
Release : 1978
Category : Logic
ISBN : OCLC:15032101

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The Development of Logic by William Calvert Kneale,Martha Kneale Pdf

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.