Logic from Russell to Church

Logic from Russell to Church
Author: Dov M. Gabbay,John Woods
Publsiher: Elsevier
Total Pages: 1068
Release: 2009-06-16
ISBN: 0080885470
Category: Mathematics
Language: EN, FR, DE, ES & NL

Logic from Russell to Church Book Excerpt:

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

Frege and the Logic of Sense and Reference

Frege and the Logic of Sense and Reference
Author: Kevin C. Klement
Publsiher: Routledge
Total Pages: 275
Release: 2017-09-25
ISBN: 1136710922
Category: Philosophy
Language: EN, FR, DE, ES & NL

Frege and the Logic of Sense and Reference Book Excerpt:

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

Russell s Logical Atomism

Russell s Logical Atomism
Author: David Bostock
Publsiher: Oxford University Press
Total Pages: 320
Release: 2012-04-19
ISBN: 0191631221
Category: Philosophy
Language: EN, FR, DE, ES & NL

Russell s Logical Atomism Book Excerpt:

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.

British Logic in the Nineteenth Century

British Logic in the Nineteenth Century
Author: Dov M. Gabbay,John Woods
Publsiher: Elsevier
Total Pages: 750
Release: 2008-03-10
ISBN: 9780080557014
Category: Mathematics
Language: EN, FR, DE, ES & NL

British Logic in the Nineteenth Century Book Excerpt:

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

The Foundations of Computability Theory

The Foundations of Computability Theory
Author: Borut Robič
Publsiher: Springer Nature
Total Pages: 422
Release: 2020-11-13
ISBN: 3662624214
Category: Computers
Language: EN, FR, DE, ES & NL

The Foundations of Computability Theory Book Excerpt:

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.

The Cambridge Companion to Bertrand Russell

The Cambridge Companion to Bertrand Russell
Author: Nicholas Griffin
Publsiher: Cambridge University Press
Total Pages: 572
Release: 2003-06-23
ISBN: 9780521636346
Category: History
Language: EN, FR, DE, ES & NL

The Cambridge Companion to Bertrand Russell Book Excerpt:

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.

Reflections on Programming Systems

Reflections on Programming Systems
Author: Liesbeth De Mol,Giuseppe Primiero
Publsiher: Springer
Total Pages: 286
Release: 2019-01-10
ISBN: 331997226X
Category: Philosophy
Language: EN, FR, DE, ES & NL

Reflections on Programming Systems Book Excerpt:

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.

The Elements of Mathematical Logic

The Elements of Mathematical Logic
Author: Paul C. Rosenbloom
Publsiher: Courier Dover Publications
Total Pages: 214
Release: 2005
ISBN: 9780486446172
Category: Mathematics
Language: EN, FR, DE, ES & NL

The Elements of Mathematical Logic Book Excerpt:

This introduction to mathematical logic stresses the use of logical methods in attacking nontrivial problems. It covers the logic of classes, of propositions, of propositional functions, and the general syntax of language, with a brief introduction to so-called undecidability and incompleteness theorems; and much more. 1950 edition.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs
Author: Ivo Düntsch,Edwin Mares
Publsiher: Springer Nature
Total Pages: 586
Release: 2021-09-24
ISBN: 3030714306
Category: Philosophy
Language: EN, FR, DE, ES & NL

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs Book Excerpt:

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.

Bertrand Russell History of philosophy ethics education religion and politics

Bertrand Russell  History of philosophy  ethics  education  religion and politics
Author: A. D. Irvine
Publsiher: Psychology Press
Total Pages: 358
Release: 1998
ISBN: 9780415130547
Category: Philosophy
Language: EN, FR, DE, ES & NL

Bertrand Russell History of philosophy ethics education religion and politics Book Excerpt:

This set offers the reader a way into the critical writings on Russell's work on Logic, Mathematics, Language, Knowledge, the World, History of Philosophy, Ethics, Education, Religion and Politics, and on his life and influence.

Russell Vs Meinong

Russell Vs  Meinong
Author: Nicholas Griffin,Dale Jacquette
Publsiher: Routledge
Total Pages: 399
Release: 2008-11-19
ISBN: 1135893152
Category: Philosophy
Language: EN, FR, DE, ES & NL

Russell Vs Meinong Book Excerpt:

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.

Themes from Kaplan

Themes from Kaplan
Author: Joseph Almog,John Perry,Howard Wettstein
Publsiher: Oxford University Press
Total Pages: 624
Release: 1989-06-01
ISBN: 9780195345346
Category: Philosophy
Language: EN, FR, DE, ES & NL

Themes from Kaplan Book Excerpt:

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.

One Hundred Years of Russell s Paradox

One Hundred Years of Russell   s Paradox
Author: Godehard Link
Publsiher: Walter de Gruyter
Total Pages: 671
Release: 2004-01-01
ISBN: 3110199688
Category: Mathematics
Language: EN, FR, DE, ES & NL

One Hundred Years of Russell s Paradox Book Excerpt:

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.

Knowledge Language and Logic Questions for Quine

Knowledge  Language and Logic  Questions for Quine
Author: A. Orenstein,P. Kotatko
Publsiher: Springer Science & Business Media
Total Pages: 446
Release: 2012-12-06
ISBN: 9401139334
Category: Science
Language: EN, FR, DE, ES & NL

Knowledge Language and Logic Questions for Quine Book Excerpt:

Quine is one of the twentieth century's most important and influential philosophers. The essays in this collection are by some of the leading figures in their fields and they touch on the most recent turnings in Quine's work. The book also features an essay by Quine himself, and his replies to each of the papers. Questions are raised concerning Quine's views on knowledge: observation, holism, truth, naturalized epistemology; about language: meaning, the indeterminacy of translation, conjecture; and about the philosophy of logic: ontology, singular terms, vagueness, identity, and intensional contexts. Given Quine's preeminent position, this book must be of interest to students of philosophy in general, Quine aficionados, and most particularly to those working in the areas of epistemology, ontology, philosophies of language, of logic, and of science.

A Companion to Wittgenstein

A Companion to Wittgenstein
Author: Hans-Johann Glock,John Hyman
Publsiher: John Wiley & Sons
Total Pages: 808
Release: 2016-12-20
ISBN: 1118641477
Category: Philosophy
Language: EN, FR, DE, ES & NL

A Companion to Wittgenstein Book Excerpt:

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
Author: Bernard Linsky
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2011-06-09
ISBN: 1139497332
Category: Mathematics
Language: EN, FR, DE, ES & NL

The Evolution of Principia Mathematica Book Excerpt:

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.

Logic Foundations of Mathematics and Computability Theory

Logic  Foundations of Mathematics  and Computability Theory
Author: Robert E. Butts,Jaakko Hintikka
Publsiher: Springer Science & Business Media
Total Pages: 416
Release: 2012-12-06
ISBN: 9401011389
Category: Science
Language: EN, FR, DE, ES & NL

Logic Foundations of Mathematics and Computability Theory Book Excerpt:

The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 August to 2 September 1975. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, and was sponsored by the National Research Council of Canada and the University of Western Ontario. As those associated closely with the work of the Division over the years know well, the work undertaken by its members varies greatly and spans a number of fields not always obviously related. In addition, the volume of work done by first rate scholars and scientists in the various fields of the Division has risen enormously. For these and related reasons it seemed to the editors chosen by the Divisional officers that the usual format of publishing the proceedings of the Congress be abandoned in favour of a somewhat more flexible, and hopefully acceptable, method of pre sentation. Accordingly, the work of the invited participants to the Congress has been divided into four volumes appearing in the University of Western Ontario Series in Philosophy of Science. The volumes are entitled, Logic, Foundations of Mathematics and Computability Theory, Foun dational Problems in the Special Sciences, Basic Problems in Methodol ogy and Linguistics, and Historical and Philosophical Dimensions of Logic, Methodology and Philosophy of Science.

Logical Form and Language

Logical Form and Language
Author: Gerhard Preyer,Georg Peter
Publsiher: Oxford University Press
Total Pages: 534
Release: 2002
ISBN: 9780199245550
Category: Language Arts & Disciplines
Language: EN, FR, DE, ES & NL

Logical Form and Language Book Excerpt:

These previously unpublished essays share 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.

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
Author: Tan Seow How (Pastor How),Cecilia Chan (Pastor Lia)
Publsiher: Generations Pte Ltd
Total Pages: 320
Release: 2021-10-06
ISBN: 1662915497
Category: Religion
Language: EN, FR, DE, ES & NL

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

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.

Perspectives on the History of Mathematical Logic

Perspectives on the History of Mathematical Logic
Author: Thomas Drucker
Publsiher: Springer Science & Business Media
Total Pages: 218
Release: 2008-01-04
ISBN: 0817647686
Category: Mathematics
Language: EN, FR, DE, ES & NL

Perspectives on the History of Mathematical Logic Book Excerpt:

This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.