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Logic from Russell to Church

Logic from Russell to Church Book
Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Release : 2009-06-16
ISBN : 0080885470
Language : En, Es, Fr & De

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Book Description :

This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights

Handbook of the History of Logic

Handbook of the History of Logic Book
Author : Dov M. Gabbay,John Woods
Publisher : Unknown
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

Logic from Russell to Church

Logic from Russell to Church Book
Author : Dov M. Gabbay,John Woods
Publisher : North Holland
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Frege and the Logic of Sense and Reference

Frege and the Logic of Sense and Reference Book
Author : Kevin C. Klement
Publisher : Routledge
Release : 2017-09-25
ISBN : 1136710922
Language : En, Es, Fr & De

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Book Description :

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

The Foundations of Computability Theory

The Foundations of Computability Theory Book
Author : Borut Robič
Publisher : Springer Nature
Release : 2020-11-13
ISBN : 3662624214
Language : En, Es, Fr & De

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Book Description :

This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism. In Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability. In Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. Finally, in the new Part IV the author revisits the computability (Church-Turing) thesis in greater detail. He offers a systematic and detailed account of its origins, evolution, and meaning, he describes more powerful, modern versions of the thesis, and he discusses recent speculative proposals for new computing paradigms such as hypercomputing. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science. This new edition is completely revised, with almost one hundred pages of new material. In particular the author applied more up-to-date, more consistent terminology, and he addressed some notational redundancies and minor errors. He developed a glossary relating to computability theory, expanded the bibliographic references with new entries, and added the new part described above and other new sections.

British Logic in the Nineteenth Century

British Logic in the Nineteenth Century Book
Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Release : 2008-03-10
ISBN : 9780080557014
Language : En, Es, Fr & De

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Book Description :

The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic. British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic. - Detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic

Russell s Logical Atomism

Russell s Logical Atomism Book
Author : David Bostock
Publisher : Oxford University Press
Release : 2012-04-19
ISBN : 0191631221
Language : En, Es, Fr & De

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Book Description :

David Bostock presents a critical appraisal of Bertrand Russell's philosophy from 1900 to 1924—a period that is considered to be the most important in his career. Russell developed his theory of logic from 1900 to 1910, and over those years wrote the famous work Principia Mathematica with A. N. Whitehead. Bostock explores Russell's development of 'logical atomism', which applies this logic to problems in the theory of knowledge and in metaphysics, and was central to his philosophical work from 1910 to 1924. This book is the first to focus on this important period of Russell's development, examining the three key areas of logic and mathematics, knowledge, and metaphysics, and demonstrating the enduring value of his work in these areas.

Lambda Calculus with Types

Lambda Calculus with Types Book
Author : Henk Barendregt,Wil Dekkers,Richard Statman
Publisher : Cambridge University Press
Release : 2013-06-20
ISBN : 0521766141
Language : En, Es, Fr & De

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Book Description :

This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.

Reflections on Programming Systems

Reflections on Programming Systems Book
Author : Liesbeth De Mol,Giuseppe Primiero
Publisher : Springer
Release : 2019-01-10
ISBN : 331997226X
Language : En, Es, Fr & De

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Book Description :

This book presents a historical and philosophical analysis of programming systems, intended as large computational systems like, for instance, operating systems, programmed to control processes. The introduction to the volume emphasizes the contemporary need of providing a foundational analysis of such systems, rooted in a broader historical and philosophical discussion. The different chapters are grouped around three major themes. The first concerns the early history of large systems developed against the background of issues related to the growing semantic gap between hardware and code. The second revisits the fundamental issue of complexity of large systems, dealt with by the use of formal methods and the development of `grand designs’ like Unix. Finally, a third part considers several issues related to programming systems in the real world, including chapters on aesthetical, ethical and political issues. This book will interest researchers from a diversity of backgrounds. It will appeal to historians, philosophers, as well as logicians and computer scientists who want to engage with topics relevant to the history and philosophy of programming and more specifically the role of programming systems in the foundations of computing.

Higher Order Computability

Higher Order Computability Book
Author : John Longley,Dag Normann
Publisher : Springer
Release : 2015-11-06
ISBN : 3662479923
Language : En, Es, Fr & De

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Book Description :

This book offers a self-contained exposition of the theory of computability in a higher-order context, where 'computable operations' may themselves be passed as arguments to other computable operations. The subject originated in the 1950s with the work of Kleene, Kreisel and others, and has since expanded in many different directions under the influence of workers from both mathematical logic and computer science. The ideas of higher-order computability have proved valuable both for elucidating the constructive content of logical systems, and for investigating the expressive power of various higher-order programming languages. In contrast to the well-known situation for first-order functions, it turns out that at higher types there are several different notions of computability competing for our attention, and each of these has given rise to its own strand of research. In this book, the authors offer an integrated treatment that draws together many of these strands within a unifying framework, revealing not only the range of possible computability concepts but the relationships between them. The book will serve as an ideal introduction to the field for beginning graduate students, as well as a reference for advanced researchers

The Cambridge Companion to Bertrand Russell

The Cambridge Companion to Bertrand Russell Book
Author : Nicholas Griffin
Publisher : Cambridge University Press
Release : 2003-06-23
ISBN : 9780521636346
Language : En, Es, Fr & De

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Book Description :

Mathematics in and behind Russell's logicism, and its reception / I. Grattan-Guinness -- Russell's philosophical background / Nicholas Griffin -- Russell and Moore, 1898-1905 / Richard L. Cartwright -- Russell and Frege / Michael Beaney -- Bertrand Russell's logicism / Martin Godwyn and Andrew D. Irvine -- The theory of descriptions / Peter Hylton -- Russell's substitutional theory / Gregory Landini -- The theory of types / Alasdair Urquhart -- Russell's method of analysis / Paul Hager -- Russell's neutral monism / R.E. Tully -- The metaphysics of logical atomism / Bernard Linksy -- Russell's structuralism and the absolute description of the world / William Demopoulos -- From knowledge by acquaintance to knowledge by causation / Thomas Baldwin -- Russell, experience, and the roots of science / A.C. Grayling -- Bertrand Russell: moral philosopher or unphilosophical moralist? / Charles R. Pidgen.

Russell Vs Meinong

Russell Vs  Meinong Book
Author : Nicholas Griffin,Dale Jacquette
Publisher : Routledge
Release : 2008-11-19
ISBN : 1135893152
Language : En, Es, Fr & De

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Book Description :

A century after ‘On Denoting’ was published, the debate it initiated continues to rage. On the one hand, there is a mass of new historical scholarship, about both Russell and Meinong, which has not circulated very far beyond specialist scholars. On the other hand, there are continuing problems and controversies concerning contemporary Russellian and Meinongian theories, many of them involving issues that simply did not occur to the original protagonists. This work provides an overview of the latest historical scholarship on the two philosophers as well as detailed accounts of some of the problems facing the current incarnations of their theories.

One Hundred Years of Russell s Paradox

One Hundred Years of Russell   s Paradox Book
Author : Godehard Link
Publisher : Walter de Gruyter
Release : 2004-01-01
ISBN : 3110199688
Language : En, Es, Fr & De

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Book Description :

Die in diesem Band zusammengefassten Beiträge stellen die wesentlichen Forschungsergebnisse der internationalen Münchner Konferenz "100 Jahre Russell-Paradoxon" im Jahr 2001 dar, auf der an die Entdeckung des berühmten Russell Paradoxons vor 100 Jahren erinnert wurde. Die 31 Beiträge und der Einführungsessay des Herausgebers wurden alle - bis auf zwei Ausnahmen - ursprünglich für diesen Band verfasst.

Themes from Kaplan

Themes from Kaplan Book
Author : Joseph Almog,John Perry,Howard Wettstein
Publisher : Oxford University Press
Release : 1989-06-01
ISBN : 9780195345346
Language : En, Es, Fr & De

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Book Description :

This anthology of essays on the work of David Kaplan, a leading contemporary philosopher of language, sprang from a conference, "Themes from Kaplan," organized by the Center for the Study of Language and Information at Stanford University. The book contains sixteen papers by such distinguished contributors as Robert M. Adams, Roderick Chisholm, Nathan Salmon, and Scott Soames, and includes Kaplan's hitherto uncollected paper, "Demonstratives," which has for twenty years been one of the most influential pieces in the philosophy of language. These essays examine a broad range of themes related to Kaplan's work; some address his work directly, while others are independent discussions of issues provoked by Kaplan's thought.

Bertrand Russell on Modality and Logical Relevance

Bertrand Russell on Modality and Logical Relevance Book
Author : Jan Dejnožka
Publisher : Routledge
Release : 2018-08-13
ISBN : 0429861710
Language : En, Es, Fr & De

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Book Description :

First published in 1999, this volume re-examines Bertrand Russell’s views on modal logic and logical relevance, arguing that Russell does in fact accommodate modality and modal logic. The author, Jan Dejnožka, draws together Russell’s comments and perspectives from throughout his canon in order to demonstrate a coherent view on logical modality and logical relevance. To achieve this, Dejnožka explores questions including whether Russell has a possible worlds logic, Rescher’s case against Russell, Russell’s three levels of modality and the motives and origins of Russell’s theory of modality.

A Companion to Wittgenstein

A Companion to Wittgenstein Book
Author : Hans-Johann Glock,John Hyman
Publisher : John Wiley & Sons
Release : 2016-12-20
ISBN : 1118641477
Language : En, Es, Fr & De

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Book Description :

A COMPANION TO WITTGENSTEIN The most comprehensive survey of Wittgenstein’s thought yet compiled, this volume of fifty newly commissioned essays by leading interpreters of his philosophy is a keynote addition to the Blackwell Companions to Philosophy series. Full of penetrating insights into the life and work of the most important philosopher of the twentieth century, the collection explores the full range of Wittgenstein’s contribution to philosophy. It includes essays on his intellectual development, his work in logic and mathematics, philosophy of language, philosophy of mind and action, epistemology, ethics, philosophy of religion, and much else. As well as examining Wittgenstein’s contribution to human understanding in detail, the Companion features vital contextual analysis that traces the relationship between his ideas and those of other philosophers and schools of thought, including the Aristotelian and continental philosophical traditions. Authors also address prominent themes that remain current in today’s philosophical debates, explaining Wittgenstein’s continuing legacy alongside his historical significance. Essential reading for scholars of philosophy at all levels, A Companion to Wittgenstein combines engaging commentary with unrivaled academic authority.

The Evolution of Principia Mathematica

The Evolution of Principia Mathematica Book
Author : Bernard Linsky
Publisher : Cambridge University Press
Release : 2011-06-09
ISBN : 1139497332
Language : En, Es, Fr & De

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Book Description :

Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.

GenerationS Volume 1 How to Grow Your Church Younger and Stronger The Story of the Kids Who Built a World Class Church

GenerationS Volume 1  How to Grow Your Church Younger and Stronger  The Story of the Kids Who Built a World Class Church Book
Author : Tan Seow How (Pastor How),Cecilia Chan (Pastor Lia)
Publisher : Generations Pte Ltd
Release : 2021-10-06
ISBN : 1662915497
Language : En, Es, Fr & De

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Book Description :

This is the story of the kids who built a world-class church — Heart of God Church started as a divine experiment to build a prototype Youth Church. Now it has developed into a proof of concept that Youths can build a STRONG CHURCH. GenerationS is a mindset-shifting, heart-changing book that shows you how to raise up generations of young people in your church to build His kingdom. After over 20 years, this youth church, operated by youths, for youths to reach youths, still has an average age of 22. “I see a great struggle in the global churches in keeping the young people… At Heart of God Church, things are different. After ministering in the biggest churches and conferences all over the world, what I’ve witnessed at Heart of God Church is unlike anything I have experienced before. What Heart of God Church has wonderfully modelled for us all should not only be applauded and admired; it should also be reproduced everywhere.” – JOHN BEVERE, International bestselling author The Bait of Satan, Co-Founder, Messenger International “On my most recent visit, one of my band was so wowed by the environment of the visual/video tech room – where he saw not just one operator at each station, but three... (This) was so impressive – there was one operator, one trainer and one trainee. These were people in their mid to high teens, some as young as 12 or 13... Considering the amount of responsibility a video/visual team carries in a large service, and how much specialised technical skill there is to learn... he was amazed. There was a beautiful trust being placed in these young people... and ultimately it’s the Jesus model of discipleship.” – MATT REDMAN, Two-time Grammy Award winner, singer-songwriter and worship leader Bonus #1: Contributors and ‘Inside Stories’ Read 1,000+ word contributions from 13 other contributing writers that provide an ‘inside look’ and 360º view of HOGC. Director of Global Relations, a Westerner’s perspective on an Asian church Board member in his 60s, on what older people do in a youth church Chief of Staff, on what goes on inside the Senior Pastors’ Office Head of Global Partnerships, on what co-senior pastoring looks like Bonus #2: Comes with Digital Companion Go beyond the chapters! Access 100+ bonus content and interactive materials when you scan QR codes from within the book.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs Book
Author : Ivo Düntsch,Edwin Mares
Publisher : Springer Nature
Release : 2021-09-24
ISBN : 3030714306
Language : En, Es, Fr & De

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Book Description :

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

Logical Form and Language

Logical Form and Language Book
Author : Gerhard Preyer,Georg Peter
Publisher : Oxford University Press
Release : 2002
ISBN : 9780199245550
Language : En, Es, Fr & De

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Book Description :

Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology, all with the central theme of logical form -- a fundamental issue in analytic philosophy and linguistic theory. Logical Form and Language brings together exciting new contributions from diverse points of view, which illuminate the lively current debate about this topic.