Kurt Gödel: Collected Works: Volume I

Publications 1929-1936

Author: Kurt Gödel,S. Feferman

Publisher: Oxford University Press

ISBN: 9780195039641

Category: Mathematics

Page: 490

View: 793

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Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. L All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.

The Oxford Handbook of The History of Analytic Philosophy

Author: Michael Beaney

Publisher: OUP Oxford

ISBN: 0191662674

Category: Philosophy

Page: 1184

View: 8202

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During the course of the twentieth century, analytic philosophy developed into the dominant philosophical tradition in the English-speaking world. In the last two decades, it has become increasingly influential in the rest of the world, from continental Europe to Latin America and Asia. At the same time there has been deepening interest in the origins and history of analytic philosophy, as analytic philosophers examine the foundations of their tradition and question many of the assumptions of their predecessors. This has led to greater historical self-consciousness among analytic philosophers and more scholarly work on the historical contexts in which analytic philosophy developed. This historical turn in analytic philosophy has been gathering pace since the 1990s, and the present volume is the most comprehensive collection of essays to date on the history of analytic philosophy. It contains state-of-the-art contributions from many of the leading scholars in the field, all of the contributions specially commissioned. The introductory essays discuss the nature and historiography of analytic philosophy, accompanied by a detailed chronology and bibliography. Part One elucidates the origins of analytic philosophy, with special emphasis on the work of Frege, Russell, Moore, and Wittgenstein. Part Two explains the development of analytic philosophy, from Oxford realism and logical positivism to the most recent work in analytic philosophy, and includes essays on ethics, aesthetics, and political philosophy as well as on the areas usually seen as central to analytic philosophy, such as philosophy of language and mind. Part Three explores certain key themes in the history of analytic philosophy.

Kurt Gödel: Collected Works:

Author: Kurt Gödel,Stanford Unviersity of Mathematics

Publisher: Clarendon Press

ISBN: 019100376X

Category: Mathematics

Page: 686

View: 1377

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Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.

Philosophical Explorations of the Legacy of Alan Turing

Turing 100

Author: Juliet Floyd,Alisa Bokulich

Publisher: Springer

ISBN: 3319532804

Category: Science

Page: 361

View: 2530

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This volume presents an historical and philosophical revisiting of the foundational character of Turing’s conceptual contributions and assesses the impact of the work of Alan Turing on the history and philosophy of science. Written by experts from a variety of disciplines, the book draws out the continuing significance of Turing’s work. The centennial of Turing’s birth in 2012 led to the highly celebrated “Alan Turing Year”, which stimulated a world-wide cooperative, interdisciplinary revisiting of his life and work. Turing is widely regarded as one of the most important scientists of the twentieth century: He is the father of artificial intelligence, resolver of Hilbert’s famous Entscheidungsproblem, and a code breaker who helped solve the Enigma code. His work revolutionized the very architecture of science by way of the results he obtained in logic, probability and recursion theory, morphogenesis, the foundations of cognitive psychology, mathematics, and cryptography. Many of Turing’s breakthroughs were stimulated by his deep reflections on fundamental philosophical issues. Hence it is fitting that there be a volume dedicated to the philosophical impact of his work. One important strand of Turing’s work is his analysis of the concept of computability, which has unquestionably come to play a central conceptual role in nearly every branch of knowledge and engineering.

Kurt Gödel: Collected Works: Volume III

Unpublished Essays and Lectures

Author: Kurt Gödel,Solomon Feferman

Publisher: Oxford University Press

ISBN: 9780195072556

Category: Mathematics

Page: 532

View: 2666

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"Anyone interested in the life and work of Kurt Gödel, or in the history of mathematical logic in this century, is indebted to all of the contributors to this volume for the care with which they have presented Gödel's work. They have succeeded in using their own expertise to elucidate both the nature and significance of what Gödel and, in turn, mathematical logic have accomplished." --Isis (on volume I). The third volume brings togetherGödels unpublished essays and lectures.

Collected Papers of L.D. Landau

Author: D. Ter Haar

Publisher: Elsevier

ISBN: 1483152707

Category: Science

Page: 858

View: 7872

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Collected Papers of L. D. Landau brings together the collected papers of L. D. Landau in the field of physics. The discussion is divided into the following sections: low-temperature physics (including superconductivity); solid-state physics; plasma physics; hydrodynamics; astrophysics; nuclear physics and cosmic rays; quantum mechanics; quantum field theory; and miscellaneous works. Topics covered include the intermediate state of supraconductors; the absorption of sound in solids; the properties of metals at very low temperatures; and production of showers by heavy particles. This volume is comprised of 100 chapters and begins with Landau's paper on the theory of the spectra of diatomic molecules, followed by his studies on the damping problem in wave mechanics; quantum electrodynamics in configuration space; electron motion in crystal lattices; and the internal temperature of stars. Some of Landau's theories, such as those of stars, energy transfer on collisions, phase transitions, and specific heat anomalies are discussed. Subsequent chapters focus on the structure of the undisplaced scattering line; the transport equation in the case of Coulomb interactions; scattering of light by light; and the origin of stellar energy. This book will be a valuable resource for physicists as well as physics students and researchers.

The Oxford Critical and Cultural History of Modernist Magazines

Volume II: North America 1894-1960

Author: Peter Brooker,Andrew Thacker

Publisher: Oxford University Press

ISBN: 0199545812

Category: Art

Page: 1120

View: 1476

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This book contains forty-four original essays on the role of periodicals in the United States and Canada. Over 120 magazines are discussed by expert contributors, completely reshaping our understanding of the construction and emergence of modernism. The chapters are organised into thirteen sections, each with a contextual introduction by the editors, and consider key themes in the landscape of North American modernism such as: 'free verse'; drama and criticism;regionalism; exiles in Europe; the Harlem Renaissance; and radical politics. In incisive critical essays we learn of familiar 'little magazines' such as Poetry, Others, transition, and The Little Review,as well as less well-known magazines such as Rogue, Palms, Harlem, and The Modern Quarterly. Of particular interest is the placing of 'little magazines' alongside pulps, slicks, and middlebrow magazines, demonstrating the rich and varied periodical field that constituted modernism in the United States and Canada.

Kurt Gödel: Collected Works: Volume IV

Selected Correspondence, A-G

Author: Kurt G?del,Solomon Feferman

Publisher: Oxford University Press

ISBN: 9780198500735

Category: Computers

Page: 662

View: 6399

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Kurt Gödel was the most outstanding logician of the 20th century and a giant in the field. This book is part of a five volume set that makes available all of Gödel's writings. The first three volumes, already published, consist of the papers and essays of Gödel. The final two volumes of the set deal with Gödel's correspondence with his contemporary mathematicians, this fourth volume consists of material from correspondents from A-G.

The Complete Sherlock Holmes

Author: Arthur Conan Doyle

Publisher: Мультимедийное издательство Стрельбицкого

ISBN: N.A

Category: Fiction

Page: N.A

View: 7866

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There is no riddle that sharp mind of detective Sherlock Holmes can’t solve. Observation, intelligence, selflessness and bravery distinguish a famous literature character created by writer Arthur Conan Doyle. The inimitable duet of Sherlock Holmes and Dr Watson sets to investigation of a crime series, masterly solves complicated cases and restores justice inside and outside London.

Solvability, Provability, Definability

The Collected Works of Emil L. Post

Author: Emil Leon Post

Publisher: Birkhauser

ISBN: 9780817635794

Category: Mathematics

Page: 554

View: 4300

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Emil Post was a pioneer of 20th century mathematical logic whose influence on computer science is particularly remarkable considering his lack of any contact with computing machines. Post's approach, revolutionary for the time, was to study logical systems from the outside, using ordinary mathematical methods. His investigations led him to set forth what has become the standard paradigm for studying logical systems. By showing how a system of logic could be viewed as a kind of general combinatorial system, Post provided the basis for much of modern computer science. No index. Annotation copyright by Book News, Inc., Portland, OR

Russell's Unknown Logicism

A Study in the History and Philosophy of Mathematics

Author: S. Gandon

Publisher: Springer

ISBN: 1137024658

Category: Mathematics

Page: 263

View: 9359

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In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics , meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.

Futures

Author: Institute for the Future

Publisher: N.A

ISBN: N.A

Category: Economic forecasting

Page: N.A

View: 9930

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The journal of policy, planning, and future studies.

The General Theory of Employment, Interest, and Money

Author: John Maynard Keynes

Publisher: Springer

ISBN: 3319703447

Category: Business & Economics

Page: 404

View: 2563

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This book was originally published by Macmillan in 1936. It was voted the top Academic Book that Shaped Modern Britain by Academic Book Week (UK) in 2017, and in 2011 was placed on Time Magazine's top 100 non-fiction books written in English since 1923. Reissued with a fresh Introduction by the Nobel-prize winner Paul Krugman and a new Afterword by Keynes’ biographer Robert Skidelsky, this important work is made available to a new generation. The General Theory of Employment, Interest and Money transformed economics and changed the face of modern macroeconomics. Keynes’ argument is based on the idea that the level of employment is not determined by the price of labour, but by the spending of money. It gave way to an entirely new approach where employment, inflation and the market economy are concerned. Highly provocative at its time of publication, this book and Keynes’ theories continue to remain the subject of much support and praise, criticism and debate. Economists at any stage in their career will enjoy revisiting this treatise and observing the relevance of Keynes’ work in today’s contemporary climate.

On Gödel

Author: Jaakko Hintikka

Publisher: Wadsworth Publishing Company

ISBN: 9780534575953

Category: Biography & Autobiography

Page: 74

View: 7214

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This brief text assists students in understanding Godel's philosophy and thinking so that they can more fully engage in useful, intelligent class dialogue and improve their understanding of course content. Part of the "Wadsworth Philosophers Series," (which will eventually consist of approximately 100 titles, each focusing on a single "thinker" from ancient times to the present), ON G -DEL is written by a philosopher deeply versed in the philosophy of this key thinker. Like other books in the series, this concise book offers sufficient insight into the thinking of a notable philosopher better enabling students to engage in the reading and to discuss the material in class and on paper.

The Essential Turing

Author: Alan Mathison Turing

Publisher: Oxford University Press

ISBN: 0198250797

Category: Computers

Page: 613

View: 9859

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Lectures, scientific papers, top secret wartime material, correspondence, and broadcasts are introduced and set in context by Jack Copeland, Director of the Turing Archive for the History of Computing."--Jacket.

Language and Cognition

Author: Kuniyoshi L. Sakai,Leonid Perlovsky

Publisher: Frontiers Media SA

ISBN: 2889196275

Category:

Page: N.A

View: 8422

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Interaction between language and cognition remains an unsolved scientific problem. What are the differences in neural mechanisms of language and cognition? Why do children acquire language by the age of six, while taking a lifetime to acquire cognition? What is the role of language and cognition in thinking? Is abstract cognition possible without language? Is language just a communication device, or is it fundamental in developing thoughts? Why are there no animals with human thinking but without human language? Combinations even among 100 words and 100 objects (multiple words can represent multiple objects) exceed the number of all the particles in the Universe, and it seems that no amount of experience would suffice to learn these associations. How does human brain overcome this difficulty? Since the 19th century we know about involvement of Broca’s and Wernicke’s areas in language. What new knowledge of language and cognition areas has been found with fMRI and other brain imaging methods? Every year we know more about their anatomical and functional/effective connectivity. What can be inferred about mechanisms of their interaction, and about their functions in language and cognition? Why does the human brain show hemispheric (i.e., left or right) dominance for some specific linguistic and cognitive processes? Is understanding of language and cognition processed in the same brain area, or are there differences in language-semantic and cognitive-semantic brain areas? Is the syntactic process related to the structure of our conceptual world? Chomsky has suggested that language is separable from cognition. On the opposite, cognitive and construction linguistics emphasized a single mechanism of both. Neither has led to a computational theory so far. Evolutionary linguistics has emphasized evolution leading to a mechanism of language acquisition, yet proposed approaches also lead to incomputable complexity. There are some more related issues in linguistics and language education as well. Which brain regions govern phonology, lexicon, semantics, and syntax systems, as well as their acquisitions? What are the differences in acquisition of the first and second languages? Which mechanisms of cognition are involved in reading and writing? Are different writing systems affect relations between language and cognition? Are there differences in language-cognition interactions among different language groups (such as Indo-European, Chinese, Japanese, Semitic) and types (different degrees of analytic-isolating, synthetic-inflected, fused, agglutinative features)? What can be learned from sign languages? Rizzolatti and Arbib have proposed that language evolved on top of earlier mirror-neuron mechanism. Can this proposal answer the unknown questions about language and cognition? Can it explain mechanisms of language-cognition interaction? How does it relate to known brain areas and their interactions identified in brain imaging? Emotional and conceptual contents of voice sounds in animals are fused. Evolution of human language has demanded splitting of emotional and conceptual contents and mechanisms, although language prosody still carries emotional content. Is it a dying-off remnant, or is it fundamental for interaction between language and cognition? If language and cognitive mechanisms differ, unifying these two contents requires motivation, hence emotions. What are these emotions? Can they be measured? Tonal languages use pitch contours for semantic contents, are there differences in language-cognition interaction among tonal and atonal languages? Are emotional differences among cultures exclusively cultural, or also depend on languages? Interaction of language and cognition is thus full of mysteries, and we encourage papers addressing any aspect of this topic.