Logic A History Of Its Central Concepts

Author : Dov M. Gabbay,Francis Jeffry Pelletier,John Woods
Publisher : Newnes
Page : 708 pages
File Size : 54,6 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 : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Page : 128 pages
File Size : 42,9 Mb
Release : 2004
Category : Logic
ISBN : LCCN:2004040424

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Handbook of the History of Logic: Logic: a history of its central concepts by Dov M. Gabbay,John Hayden Woods Pdf

Author : Alex Malpass,Marianna Antonutti Marfori
Publisher : Bloomsbury Publishing
Page : 256 pages
File Size : 43,9 Mb
Release : 2017-06-29
Category : Philosophy
ISBN : 9781472507174

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The History of Philosophical and Formal Logic by Alex Malpass,Marianna Antonutti Marfori Pdf

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.

Author : Harry J. Gensler
Publisher : Rowman & Littlefield
Page : 354 pages
File Size : 48,8 Mb
Release : 2010
Category : History
ISBN : 9780810875968

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The A to Z of Logic by Harry J. Gensler Pdf

The A to Z of Logic introduces the central concepts of the field in a series of brief, non-technical, cross-referenced dictionary entries. The 352 alphabetically arranged entries give a clear, basic introduction to a very broad range of logical topics. Entries can be found on deductive systems, such as propositional logic, modal logic, deontic logic, temporal logic, set theory, many-valued logic, mereology, and paraconsistent logic. Similarly, there are entries on topics relating to those previously mentioned such as negation, conditionals, truth tables, and proofs. Historical periods and figures are also covered, including ancient logic, medieval logic, Buddhist logic, Aristotle, Ockham, Boole, Frege, Russell, Gödel, and Quine. There are even entries relating logic to other areas and topics, like biology, computers, ethics, gender, God, psychology, metaphysics, abstract entities, algorithms, the ad hominem fallacy, inductive logic, informal logic, the liar paradox, metalogic, philosophy of logic, and software for learning logic. In addition to the dictionary, there is a substantial chronology listing the main events in the history of logic, an introduction that sketches the central ideas of logic and how it has evolved into what it is today, and an extensive bibliography of related readings. This book is not only useful for specialists but also understandable to students and other beginners in the field.

Author : Mark Bevir
Publisher : Cambridge University Press
Page : 356 pages
File Size : 51,5 Mb
Release : 2002-06-20
Category : History
ISBN : 0521016843

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The Logic of the History of Ideas by Mark Bevir Pdf

Mark Bevir's book explores the forms of reasoning appropriate to the history of ideas, enhancing our understanding by grappling with central questions such as: What is a meaning? What constitutes objective knowledge of the past? What are beliefs and traditions? How can we explain why people held the beliefs they did? The book ranges widely over issues and theorists associated with post-analytic philosophy, post-modernism, hermeneutics, literary theory, political thought and social theory.

Author : Martin Heidegger
Publisher : State University of New York Press
Page : 217 pages
File Size : 42,7 Mb
Release : 2012-02-01
Category : Philosophy
ISBN : 9780791487952

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Supplements by Martin Heidegger Pdf

A comprehensive anthology of Heidegger's early essays.

Author : Woosuk Park
Publisher : Springer
Page : 230 pages
File Size : 53,8 Mb
Release : 2018-07-12
Category : Philosophy
ISBN : 9783319951478

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Philosophy's Loss of Logic to Mathematics by Woosuk Park Pdf

This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski’s and Gödel’s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy’s mathematical naturalism and Shapiro’s mathematical structuralism. Last but not least, the book introduces Biancani’s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century.

Author : George Englebretsen
Publisher : Walter de Gruyter GmbH & Co KG
Page : 196 pages
File Size : 49,6 Mb
Release : 2015-09-14
Category : Philosophy
ISBN : 9783110435047

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Exploring Topics in the History and Philosophy of Logic by George Englebretsen Pdf

While post-Fregean logicians tend to ignore or even denigrate the traditional logic of Aristotle and the Scholastics, new work in recent years has shown the viability of a renewed, extended, and strengthened logic of terms that shares fundamental features of the old syllogistic. A number of logicians, following the lead of Fred Sommers, have built just such a term logic. It is a system of formal logic that not only matches the expressive and inferential powers of today’s standard logic, but surpasses it and is far simpler and more natural. This book aims to substantiate this claim by exhibiting just how the term logic can shed need light on a variety of challenges that face any system of formal logic.

Author : Harry J. Gensler,Earl W. Spurgin
Publisher : Scarecrow Press
Page : 424 pages
File Size : 49,8 Mb
Release : 2008-08-22
Category : Philosophy
ISBN : 9780810862715

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Historical Dictionary of Ethics by Harry J. Gensler,Earl W. Spurgin Pdf

The Historical Dictionary of Ethics covers a very broad range of ethical topics, including ethical theories, historical periods, historical figures, applied ethics, ethical issues, ethical concepts, non-Western approaches, and related disciplines. Harry J. Gensler and Earl W. Spurgin tackle such issues as abortion, capital punishment, stemcell research, and terrorism while also explaining key theories like utilitarianism, natural law, social contract, and virtue ethics. This reference provides a complete overview of ethics through a detailed chronology, an introductory essay, a bibliography, and over 200 cross-referenced dictionary entries, including bioethics, business ethics, Aristotle, Hobbes, autonomy, confidentiality, Confucius, and psychology.

Author : Jens Lemanski
Publisher : Springer Nature
Page : 318 pages
File Size : 53,6 Mb
Release : 2020-06-08
Category : Mathematics
ISBN : 9783030330903

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Language, Logic, and Mathematics in Schopenhauer by Jens Lemanski Pdf

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.

Author : Anonim
Publisher : PediaPress
Page : 203 pages
File Size : 53,8 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 8210379456XXX

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Logic and Metalogic by Anonim Pdf

Author : Satya Sundar Sethy
Publisher : Springer Nature
Page : 283 pages
File Size : 52,6 Mb
Release : 2021-06-12
Category : Philosophy
ISBN : 9789811626890

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Introduction to Logic and Logical Discourse by Satya Sundar Sethy Pdf

This book focuses on logic and logical language. It examines different types of words, terms and propositions in detail. While discussing the nature of propositions, it illustrates the procedures used to determine the truth and falsity of a proposition, and the validity and invalidity of an argument. In addition, the book provides a clear exposition of the pure and mixed form of syllogism with suitable examples. The book encompasses sentential logic, predicate logic, symbolic logic, induction and set theory topics. The book is designed to serve all those involved in teaching and learning courses on logic. It offers a valuable resource for students and researchers in philosophy, mathematics and computer science disciplines. Given its scope, it is an essential read for everyone interested in logic, language, formulation of the hypotheses for the scientific enquiries and research studies, and judging valid and invalid arguments in the natural language discourse.

Author : Jon Williamson,Federica Russo
Publisher : Bloomsbury Publishing
Page : 192 pages
File Size : 52,5 Mb
Release : 2010-09-23
Category : Philosophy
ISBN : 9781441167385

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Key Terms in Logic by Jon Williamson,Federica Russo Pdf

The Key Terms in Philosophy series offers clear, concise and accessible introductions to the central topics in philosophy. Each book offers a comprehensive overview of the key terms, concepts, thinkers and major works in the history of a key area of philosophy. Ideal for first-year students starting out in philosophy, the series will serve as the ideal companion to study of this fascinating subject. Key Terms in Logic offers the ideal introduction to this core area in the study of philosophy, providing detailed summaries of the important concepts in the study of logic and the application of logic to the rest of philosophy. A brief introduction provides context and background, while the following chapters offer detailed definitions of key terms and concepts, introductions to the work of key thinkers and lists of key texts. Designed specifically to meet the needs of students and assuming no prior knowledge of the subject, this is the ideal reference tool for those coming to Logic for the first time.

Author : Francine F. Abeles,Mark E. Fuller
Publisher : Birkhäuser
Page : 258 pages
File Size : 42,9 Mb
Release : 2016-05-26
Category : Mathematics
ISBN : 9783319247564

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Modern Logic 1850-1950, East and West by Francine F. Abeles,Mark E. Fuller Pdf

This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by Charles Sanders Peirce. Anellis’s association with the Russian logic community introduced their school of logic to a wider audience in the USA, Canada and Western Europe. In addition, the collection takes a historical perspective on proof theory and the development of logic and mathematics in Eastern Logic, the Soviet Union and Russia. The book will be of interest to historians and philosophers in logic and mathematics, and the more specialized papers will also appeal to mathematicians and logicians.

Author : Elaine Landry
Publisher : Oxford University Press
Page : 432 pages
File Size : 54,7 Mb
Release : 2017-11-17
Category : Philosophy
ISBN : 9780191065828

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Categories for the Working Philosopher by Elaine Landry Pdf

Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both "pure", e.g., mathematical, foundational and logical, and "applied", e.g., applied to physics, biology and the nature and structure of mathematical models. Borrowing from the title of Saunders Mac Lane's seminal work "Categories for the Working Mathematician", this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world. Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.