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Logic A History Of Its Central Concepts

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Handbook of the History of Logic Logic a history of its central concepts

Handbook of the History of Logic  Logic  a history of its central concepts Book
Author : Dov M. Gabbay,John Hayden Woods
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of the History of Logic Logic a history of its central concepts book written by Dov M. Gabbay,John Hayden Woods, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Logic A History of its Central Concepts

Logic  A History of its Central Concepts Book
Author : Dov M. Gabbay,Francis Jeffry Pelletier,John Woods
Publisher : Newnes
Release : 2012-12-31
ISBN : 0080931707
Language : En, Es, Fr & De

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Book Description :

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

Handbook of the History of Logic Logic A History of its Central Concepts

Handbook of the History of Logic  Logic  A History of its Central Concepts Book
Author : Dov M. Gabbay,Francis Jeffry Pelletier,John Hayden Woods
Publisher : North-Holland
Release : 2004
ISBN : 9780444529374
Language : En, Es, Fr & De

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Book Description :

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

The Logic of the History of Ideas

The Logic of the History of Ideas Book
Author : Mark Bevir
Publisher : Cambridge University Press
Release : 2002-06-20
ISBN : 9780521016841
Language : En, Es, Fr & De

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Book Description :

Human cultures generate meanings, and the history of ideas, broadly conceived, is the study of these meanings. An adequate theory of culture must therefore rest on a suitable philosophical enquiry into the nature of the history of ideas. 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.

Philosophy s Loss of Logic to Mathematics

Philosophy s Loss of Logic to Mathematics Book
Author : Woosuk Park
Publisher : Springer
Release : 2018-07-12
ISBN : 3319951475
Language : En, Es, Fr & De

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Book Description :

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.

Exploring Topics in the History and Philosophy of Logic

Exploring Topics in the History and Philosophy of Logic Book
Author : George Englebretsen
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2015-09-14
ISBN : 3110435047
Language : En, Es, Fr & De

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Book Description :

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.

Supplements

Supplements Book
Author : Martin Heidegger
Publisher : SUNY Press
Release : 2002-09-26
ISBN : 9780791455067
Language : En, Es, Fr & De

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Book Description :

A comprehensive anthology of Heidegger's early essays.

Language Logic and Mathematics in Schopenhauer

Language  Logic  and Mathematics in Schopenhauer Book
Author : Jens Lemanski
Publisher : Springer Nature
Release : 2020-06-08
ISBN : 3030330907
Language : En, Es, Fr & De

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Book Description :

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.

Logic and Metalogic

Logic and Metalogic Book
Author : Anonim
Publisher : PediaPress
Release : 2023-02-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Logic and Metalogic book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Introduction to Logic and Logical Discourse

Introduction to Logic and Logical Discourse Book
Author : Satya Sundar Sethy
Publisher : Springer Nature
Release : 2021-06-12
ISBN : 9811626898
Language : En, Es, Fr & De

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Book Description :

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.

Modern Logic 1850 1950 East and West

Modern Logic 1850 1950  East and West Book
Author : Francine F. Abeles,Mark E. Fuller
Publisher : Birkhäuser
Release : 2016-05-26
ISBN : 3319247565
Language : En, Es, Fr & De

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Book Description :

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.

Logic in Question

Logic in Question Book
Author : Jean-Yves Béziau,Jean-Pierre Desclés,Amirouche Moktefi,Anca Christine Pascu
Publisher : Springer Nature
Release : 2023-01-11
ISBN : 3030944522
Language : En, Es, Fr & De

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Book Description :

This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.

Logic in High Definition

Logic in High Definition Book
Author : Alessandro Giordani,Jacek Malinowski
Publisher : Springer Nature
Release : 2020-11-19
ISBN : 3030534871
Language : En, Es, Fr & De

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Book Description :

This volume clusters together issues centered upon the variety of types of intensional semantics. Consisting of 10 contributions, the volume is based on papers presented at the Trends in Logic 2019 conference. The various chapters introduce readers to the topic, or apply new types of logical semantics to elucidate subtleties of logical systems and natural language semantics. The book introduces hyperintentional systems that aim at solving some open philosophical problems. Specifically, the first three studies focus on relating semantics, while the following ones discuss fundamental issues related to hyper-intensional semantics or develop hyper-intensional frameworks to address issues in modal, epistemic, deontic and action logic. Authors in this volume present original results on logical systems but also extend beyond this by offering philosophical considerations on the topic as well. This volume will appeal to students and researchers in the field of logic.

The Road to Universal Logic

The Road to Universal Logic Book
Author : Arnold Koslow,Arthur Buchsbaum
Publisher : Birkhäuser
Release : 2015-06-10
ISBN : 3319153684
Language : En, Es, Fr & De

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Book Description :

This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.

Intensional First Order Logic

Intensional First Order Logic Book
Author : Zoran Majkic
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2022-09-05
ISBN : 3110981432
Language : En, Es, Fr & De

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Book Description :

This book introduces the properties of conservative extensions of First Order Logic (FOL) to new Intensional First Order Logic (IFOL). This extension allows for intensional semantics to be used for concepts, thus affording new and more intelligent IT systems. Insofar as it is conservative, it preserves software applications and constitutes a fundamental advance relative to the current RDB databases, Big Data with NewSQL, Constraint databases, P2P systems and Semantic Web applications. Moreover, the many-valued version of IFOL can support the AI applications based on many-valued logics.

The Cambridge Companion to Ancient Logic

The Cambridge Companion to Ancient Logic Book
Author : Luca Castagnoli,Paolo Fait
Publisher : Cambridge University Press
Release : 2023-03-31
ISBN : 1107062942
Language : En, Es, Fr & De

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Book Description :

A state-of-the-art overview of ancient logic for students and scholars, with in-depth analyses of its central themes.

Bloomsbury Semiotics Volume 2 Semiotics in the Natural and Technical Sciences

Bloomsbury Semiotics Volume 2  Semiotics in the Natural and Technical Sciences Book
Author : Jamin Pelkey,Stéphanie Walsh Matthews
Publisher : Bloomsbury Publishing
Release : 2023-01-12
ISBN : 1350139335
Language : En, Es, Fr & De

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Book Description :

Bloomsbury Semiotics offers a state-of-the-art overview of the entire field of semiotics by revealing its influence on a wide range of disciplinary perspectives. With four volumes spanning theory, method and practice across the disciplines, this definitive reference work emphasizes and strengthens common bonds shared across intellectual cultures, and facilitates the discovery and recovery of meaning across fields. It comprises: Volume 1: History and Semiosis Volume 2: Semiotics in the Natural and Technical Sciences Volume 3: Semiotics in the Arts and Social Sciences Volume 4: Semiotic Movements Written by leading international experts, the chapters provide comprehensive overviews of the history and status of semiotic inquiry across a diverse range of traditions and disciplines. Together, they highlight key contemporary developments and debates along with ongoing research priorities. Providing the most comprehensive and united overview of the field, Bloomsbury Semiotics enables anyone, from students to seasoned practitioners, to better understand and benefit from semiotic insight and how it relates to their own area of study or research. Volume 2: Semiotics in the Natural and Technical Sciences presents the state-of-the art in semiotic approaches to disciplines ranging from mathematics and biology to neuroscience and medicine, from evolutionary linguistics and animal behaviour studies to computing, finance, law, architecture, and design. Each chapter casts a vision for future research priorities, unanswered questions, and fresh openings for semiotic participation in these and related fields.

Negation and Nonveridicality in the History of Greek

Negation and Nonveridicality in the History of Greek Book
Author : Katerina Chatzopoulou
Publisher : Oxford University Press
Release : 2018-11-01
ISBN : 0191021180
Language : En, Es, Fr & De

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Book Description :

This book provides a thorough investigation of the expression of sentential negation in the history of Greek. It draws on both quantitative data from texts dating from three major stages of vernacular Greek (Attic Greek, Koine, and Late Medieval Greek), and qualitative data from all stages of the language, from Homeric Greek to Standard Modern Greek. Katerina Chatzopoulou accounts for the contrast between the two complementary negators found in Greek, referred to as a NEG1 and NEG2, in terms of the latter's sensitivity to nonveridicality, and explains the asymmetry observed in the diachronic development of the Greek negator system. The volume also sets out a new interpretation of Jespersen's cycle, which abstracts away from the morphosyntactic and phonological properties of the phenomenon and proposes instead that it is best understood in semantic terms. This approach not only explains the patterns observed in Greek, but also those found in other languages that deviate from the traditional description of Jespersen's cycle.

The Logical Legacy of Nikolai Vasiliev and Modern Logic

The Logical Legacy of Nikolai Vasiliev and Modern Logic Book
Author : Vladimir Markin,Dmitry Zaitsev
Publisher : Springer
Release : 2017-11-21
ISBN : 3319661620
Language : En, Es, Fr & De

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Book Description :

This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ontology. Chapters range from a look at the Heuristic and Conceptual Background of Vasiliev's Imaginary Logic to Generalized Vasiliev-style Propositions. It includes works which cover Imaginary and Non-Aristotelian Logics, Inconsistent Set Theory and the Expansion of Mathematical Thinking, Plurivalent Logic, and the Impact of Vasiliev's Imaginary Logic on Epistemic Logic. The Russian logician, Vasiliev, was widely recognized as one of the forerunners of modern non-classical logic. His "imaginary logic" developed in some of his work at the beginning of 20th century is often considered to be one of the first systems of paraconsistent and multi-valued logic. The novelty of his logical project has opened up prospects for modern logic as well as for non-classical science in general. This volume contains a selection of papers written by modern specialists in the field and deals with various aspects of Vasiliev's logical ideas. The logical legacy of Nikolai Vasiliev can serve as a promising source for developing an impressive range of philosophical interpretations, as it marries promising technical innovations with challenging philosophical insights.

Historical Dictionary of Ethics

Historical Dictionary of Ethics Book
Author : Harry J. Gensler,Earl W. Spurgin
Publisher : Scarecrow Press
Release : 2008-08-22
ISBN : 0810862719
Language : En, Es, Fr & De

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Book Description :

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.