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Aristotles Syllogism And The Creation Of Modern Logic
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Book Synopsis Aristotle's Syllogism and the Creation of Modern Logic by : Lukas M. Verburgt
Download or read book Aristotle's Syllogism and the Creation of Modern Logic written by Lukas M. Verburgt and published by Bloomsbury Publishing. This book was released on 2023-01-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Book Synopsis Greek Foundations of Traditional Logic by : Ernst Kapp
Download or read book Greek Foundations of Traditional Logic written by Ernst Kapp and published by New York : AMS Press, 1967 [c1942]. This book was released on 1967 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aristotle’s Modal Syllogistic by : Marko Malink
Download or read book Aristotle’s Modal Syllogistic written by Marko Malink and published by Harvard University Press. This book was released on 2013-11-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity—and is today widely regarded as incoherent. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle’s philosophy. Aristotle’s modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics—specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle’s modal propositions, one that verifies the ancient philosopher’s claims of the validity and invalidity of modal inferences. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.
Book Synopsis The Aftermath of Syllogism by : Marco Sgarbi
Download or read book The Aftermath of Syllogism written by Marco Sgarbi and published by Bloomsbury Publishing. This book was released on 2018-01-25 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Syllogism is a form of logical argument allowing one to deduce a consistent conclusion based on a pair of premises having a common term. Although Aristotle was the first to conceive and develop this way of reasoning, he left open a lot of conceptual space for further modifications, improvements and systematizations with regards to his original syllogistic theory. From its creation until modern times, syllogism has remained a powerful and compelling device of deduction and argument, used by a variety of figures and assuming a variety of forms throughout history. The Aftermath of Syllogism investigates the key developments in the history of this peculiar pattern of inference, from Avicenna to Hegel. Taking as its focus the longue durée of development between the Middle Ages and the nineteenth century, this book looks at the huge reworking scientific syllogism underwent over the centuries, as some of the finest philosophical minds brought it to an unprecedented height of logical sharpness and sophistication. Bringing together a group of major international experts in the Aristotelian tradition, The Aftermath of Syllogism provides a detailed, up to date and critical evaluation of the history of syllogistic deduction.
Book Synopsis Aristotle’s Theory of the Syllogism by : G. Patzig
Download or read book Aristotle’s Theory of the Syllogism written by G. Patzig and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is the English version of a monograph 'Die aristotelische Syllogistik', which first appeared ten years ago in the series of Abhand 1 lungen edited by the Academy of Sciences in Gottingen. In the preface to the English edition, I would first like to express my indebtedness to Mr. J. Barnes, now fellow of Oriel College, Oxford. He not only translated what must have been a difficult text with exemplary precision and ingenuity, but followed critically every argument and check ed every reference. While translating it, he has improved the book. Of those changes which I have made on Mr. Barnes' suggestion I note only the more important ones on pages 4, 12, 24sq, 32, 39, 6lsq, and 158. Since the second edition of the German text appeared in 1963 some further reviews have been published, or come to my notice, which I have 2 been able to make use of in improving the text of this new edition. I must mention here especially the detailed critical discussions of my results and arguments published by Professor W. Wieland in the Philosophische Rundschau 14 (1966), 1-27 and by Professor E. Scheibe in Gnomon 39 (1967), 454-64. Both scholars, while agreeing with the main drift and method of my interpretation, criticise some of my results and disagree with some of my arguments. It would not be possible to discuss these technical matters here with the necessary thoroughness.
Book Synopsis Aristotle's Syllogistic from the Standpoint of Modern Formal Logic by : Jan Łukasiewicz
Download or read book Aristotle's Syllogistic from the Standpoint of Modern Formal Logic written by Jan Łukasiewicz and published by . This book was released on 1954 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aristotle on Fallacies by : Aristotle
Download or read book Aristotle on Fallacies written by Aristotle and published by . This book was released on 1866 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Aristotle's logic, with remarks by : Thomas Reid
Download or read book Analysis of Aristotle's logic, with remarks written by Thomas Reid and published by . This book was released on 1806 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Prior Analytics written by Aristotle and published by Aeterna Press. This book was released on 2015-09-01 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Prior Analytics (Greek: ????????? ???????; Latin: Analytica Priora) is Aristotle’s work on deductive reasoning, which is known as his syllogistic. Being one of the six extant Aristotelian writings on logic and scientific method, it is part of what later Peripatetics called the Organon. Aeterna Press
Book Synopsis The Structure of Aristotelian Logic by : James Wilkinson Miller
Download or read book The Structure of Aristotelian Logic written by James Wilkinson Miller and published by Routledge. This book was released on 2015-08-14 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.
Book Synopsis The History of Philosophical and Formal Logic by : Alex Malpass
Download or read book The History of Philosophical and Formal Logic written by Alex Malpass and published by Bloomsbury Publishing. This book was released on 2017-06-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.
Book Synopsis Knowledge and Demonstration by : Orna Harari
Download or read book Knowledge and Demonstration written by Orna Harari and published by Springer Science & Business Media. This book was released on 2005-02-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study explores the theoretical relationship between Aristotle’s theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotle’s theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotle’s two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotle’s logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotle’s two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotle’s conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular.
Book Synopsis Three Logicians by : George Englebretsen
Download or read book Three Logicians written by George Englebretsen and published by . This book was released on 1981 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hypothetical Syllogistic and Stoic Logic by : Anthony Speca
Download or read book Hypothetical Syllogistic and Stoic Logic written by Anthony Speca and published by BRILL. This book was released on 2016-06-21 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uncovers and examines the confusion in antiquity between Aristotle’s hypothetical syllogistic and Stoic logic, and offers a fresh perspective on the development of Aristotelian logic through to the early Middle Ages.
Book Synopsis Aristotelian Logic by : William Thomas Parry
Download or read book Aristotelian Logic written by William Thomas Parry and published by SUNY Press. This book was released on 1991-01-01 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of an international research and development conference, Tuscon, Arizona, October 1985. One hundred and twenty-eight papers are presented in this hefty volume. They are grouped into chapters covering climate, underutilized plants, irrigation and water management, biosphere reserves, water policy, animal resources, desert ecology, crop physiology and agronomy, urban environments, desertification, land intensification, and other topics related to the economy and management of arid lands. Provides detailed treatment of topics in traditional logic: theory of terms, theory of definition, informal fallacies, and division and classification.
Book Synopsis Aristotle's Syllogistic by : Jan Łukasiewicz
Download or read book Aristotle's Syllogistic written by Jan Łukasiewicz and published by . This book was released on 1967 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logical Modalities from Aristotle to Carnap by : Max Cresswell
Download or read book Logical Modalities from Aristotle to Carnap written by Max Cresswell and published by Cambridge University Press. This book was released on 2016-09-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.
