Download or read book Formal Approaches and Natural Language in Medieval Logic written by Laurent Cesalli and published by Brepols. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is medieval logic formal? And if yes, in what sense? There are striking affinities between medieval and contemporary theories of language. Authors from the two periods share formal ambitions and maintain complex, and at time uneasy, relations with natural language. However, modern scholars became careful not to overlook the specificities of theories developed more than five hundred years apart, in particular with respect to their 'formal' character. In 1972, Alfonso Maieru noted that the efforts of medieval logicians to identify logical structures in language formal enough to become objects of scientific consideration. He also stressed that the language investigated is a historical one, Latin, so that one can legitimately wonder to which extent ... one is allowed to speak of 'formal logic' in the middle ages. In other words, medieval logic is characterized by a tension between 'formalist ambitions' and constraints proper to natural language. Today, our knowledge of the field has considerably expanded, calling for a new assessment of the question.
Download or read book Formal Approaches and Natural Language in Medieval Logic written by Laurent Cesalli and published by . This book was released on 2017 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Articulating Medieval Logic written by Terence Parsons and published by . This book was released on 2014-02 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the development and logical complexity of medieval logic, the expansion of Aristotle's notation by medieval logicians, and the development of additional logical principle--
Download or read book The Logic of Our Language written by Rodger L. Jackson and published by Broadview Press. This book was released on 2014-11-04 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.
Download or read book Oxford Studies in Medieval Philosophy Volume 10 written by Robert Pasnau and published by Oxford University Press. This book was released on 2023-02-10 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oxford Studies in Medieval Philosophy showcases the best scholarly research in this flourishing field. The series covers all aspects of medieval philosophy, including the Latin, Arabic, and Hebrew traditions, and runs from the end of antiquity into the Renaissance. It publishes new work by leading scholars in the field, and combines historical scholarship with philosophical acuteness. The papers will address a wide range of topics, from political philosophy to ethics, and logic to metaphysics. OSMP is an essential resource for anyone working in the area.
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.
Download or read book The Language of Thought in Late Medieval Philosophy written by Jenny Pelletier and published by Springer. This book was released on 2018-01-02 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents new lines of research dealing with the language of thought and its philosophical implications in the time of Ockham. It features more than 20 essays that also serve as a tribute to the ground-breaking work of a leading expert in late medieval philosophy: Claude Panaccio. Coverage addresses topics in the philosophy of mind and cognition (externalism, mental causation, resemblance, habits, sensory awareness, the psychology, illusion, representationalism), concepts (universal, transcendental, identity, syncategorematic), logic and language (definitions, syllogisms, modality, supposition, obligationes, etc.), action theory (belief, will, action), and more. A distinctive feature of this work is that it brings together contributions in both French and English, the two major research languages today on the main theme in question. It unites the most renowned specialists in the field as well as many of Claude Panaccio’s former students who have engaged with his work over the years. In furthering this dialogue, the essays render key topics in fourteenth-century thought accessible to the contemporary philosophical community without being anachronistic or insensitive to the particularities of the medieval context. As a result, this book will appeal to a general population of philosophers and historians of philosophy with an interest in logic, philosophy of language, philosophy of mind, and metaphysics.
Download or read book Formal Languages in Logic written by Catarina Dutilh Novaes and published by Cambridge University Press. This book was released on 2012-11-08 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the cognitive impact on formal languages for human reasoning, drawing on philosophy, historical development, psychology and cognitive science.
Download or read book Formalizing Medieval Logical Theories written by Catarina Dutilh Novaes and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents formalizations of three important medieval logical theories: supposition, consequence and obligations. These are based on innovative vantage points: supposition theories as algorithmic hermeneutics, theories of consequence analyzed with tools borrowed from model-theory and two-dimensional semantics, and obligations as logical games. The analysis of medieval logic is relevant for the modern philosopher and logician. This is the first book to render medieval logical theories accessible to the modern philosopher.
Download or read book Logic as a Liberal Art written by R. E. Houser and published by Catholic University of America Press. This book was released on 2019-12-10 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.
Download or read book Grounding in Medieval Philosophy written by Calvin G. Normore and published by Springer Nature. This book was released on with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Formal Logic written by Peter Smith and published by Cambridge University Press. This book was released on 2003-11-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.
Download or read book A Companion to Twelfth Century Schools written by Cédric Giraud and published by BRILL. This book was released on 2019-11-11 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Companion to Twelfth-Century Schools provides a comprehensive update and new synthesis of the last three decades of research. The fruit of a contemporary renewal of cultural history among international scholars of medieval studies, this collection draws on the discovery of new texts, the progress made in critical attribution, the growing attention given to the conditions surrounding the oral and written dissemination of works, the use of the notion of a “community of learning”, the reinterpretation of the relations between the cloister and the urban school, and links between institutional history and social history. Contributors are: Alexander Andrée, Irene Caiazzo, Cédric Giraud, Frédéric Goubier, Danielle Jacquart, Thierry Kouamé, Constant J. Mews, Ken Pennington, Dominique Poirel, Irène Rosier-Catach, Sita Steckel, Jacques Verger, and Olga Weijers. See inside the book.
Download or read book The Cambridge Companion to Medieval Logic written by Catarina Dutilh Novaes and published by Cambridge University Press. This book was released on 2016-09-22 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: The very first dedicated, comprehensive companion to medieval logic, covering both the Latin and Arabic sister traditions.
Download or read book Formal Logic written by Paul A. Gregory and published by Broadview Press. This book was released on 2017-04-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.
Download or read book Logic Or The Art of Thinking written by Antoine Arnauld and published by . This book was released on 1850 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Syllogistic Logic and Mathematical Proof written by Paolo Mancosu and published by Oxford University Press. This book was released on 2023-04-21 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant's account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics.
