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Author: Karl Sigmund
Publisher: Vieweg+Teubner Verlag
ISBN: 9783834801739
Category : Mathematics
Languages : de
Pages : 222
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Book Description
Time Magazine reihte ihn unter die hundert wichtigsten Personen des zwanzigsten Jahrhunderts. Die Harvard University verlieh ihm das Ehrendoktorat für die Entdeckung "der bedeutsamsten mathematischen Wahrheit des Jahrhunderts". Er gilt allgemein als der größte Logiker seit Aristoteles. Sein Freund Einstein ging, nach eigener Aussage, nur deshalb ans Institut, um Gödel auf dem Heimweg begleiten zu dürfen. Und John von Neumann, einer der Väter des Computers, schrieb: "Gödel ist tatsächlich absolut unersetzlich. Er ist der einzige Mathematiker, von dem ich das zu behaupten wage." Dieses Buch ist eine leichtverdauliche, einfache und anschauliche Einführung in Gödels Leben und Werk, gedacht für jene, die sich für die menschlichen und kulturellen Aspekte der Wissenschaft interessieren. Ausgangspunkt des Buches waren die Vorbereitungen zu einer Ausstellung über Kurt Gödel aus Anlass seines hundertsten Geburtstags. Eine Ausstellung hat etwas von einem Spaziergang an sich, und gerade das wollen wir bieten: einen Spaziergang mit Gödel. Albert Einstein genoss solche Spaziergänge sehr. Man kann also Gödel genießen.
Author: Karl Sigmund
Publisher: Vieweg+Teubner Verlag
ISBN: 9783834801739
Category : Mathematics
Languages : de
Pages : 222
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Book Description
Time Magazine reihte ihn unter die hundert wichtigsten Personen des zwanzigsten Jahrhunderts. Die Harvard University verlieh ihm das Ehrendoktorat für die Entdeckung "der bedeutsamsten mathematischen Wahrheit des Jahrhunderts". Er gilt allgemein als der größte Logiker seit Aristoteles. Sein Freund Einstein ging, nach eigener Aussage, nur deshalb ans Institut, um Gödel auf dem Heimweg begleiten zu dürfen. Und John von Neumann, einer der Väter des Computers, schrieb: "Gödel ist tatsächlich absolut unersetzlich. Er ist der einzige Mathematiker, von dem ich das zu behaupten wage." Dieses Buch ist eine leichtverdauliche, einfache und anschauliche Einführung in Gödels Leben und Werk, gedacht für jene, die sich für die menschlichen und kulturellen Aspekte der Wissenschaft interessieren. Ausgangspunkt des Buches waren die Vorbereitungen zu einer Ausstellung über Kurt Gödel aus Anlass seines hundertsten Geburtstags. Eine Ausstellung hat etwas von einem Spaziergang an sich, und gerade das wollen wir bieten: einen Spaziergang mit Gödel. Albert Einstein genoss solche Spaziergänge sehr. Man kann also Gödel genießen.
Author: Hao Wang
Publisher: MIT Press
ISBN: 9780262730877
Category : Philosophy
Languages : en
Pages : 366
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Book Description
Newton/Descartes. Einstein/Gödel. The seventeenth century had its scientific and philosophical geniuses. Why shouldn't ours have them as well? Kurt Gödel was indisputably one of the greatest thinkers of our time, and in this first extended treatment of his life and work, Hao Wang, who was in close contact with Gödel in his last years, brings out the full subtlety of Gödel's ideas and their connection with grand themes in the history of mathematics and philosophy. The subjects he covers include the completeness of elementary logic, the limits of formalization, the problem of evidence, the concept of set, the philosophy of mathematics, time, and relativity theory, metaphysics and religion, as well as general ideas on philosophy as a worldview. Wang, whose reflections on his colleague also serve to clarify his own philosophical thoughts, distinguishes his ideas from those of Gödel's and on points of agreement develops Gödel's views further. The book provides a generous array of information on and interpretation of the two main phases of Gödel's career - the years between 1924 and 1939 at the University of Vienna, which were marked by intense mathematical creativity, and the period from 1940 to his death in 1978, during which he was affiliated with the Institute for Advanced Studies in Princeton, a time in which Gödel's interests steadily shifted from questions of logic to metaphysics. And it also examines Gödel's relations with the Vienna Circle, his philosophical differences with Carnap and Wittgenstein, the intimate and mutually fruitful friendship with Einstein, and the periodic bouts of depression for which Gödel was hospitalized a number of times over the course of his life. A Bradford Book.
Author: Kurt Gödel
Publisher: Clarendon Press
ISBN: 019100376X
Category : Mathematics
Languages : en
Pages : 685
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Book Description
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.
Author: Kurt Gödel
Publisher: Clarendon Press
ISBN: 0191003778
Category : Mathematics
Languages : en
Pages : 691
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Book Description
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.
Author: Francisco Rodriguez-Consuegra
Publisher: Springer Science & Business Media
ISBN: 9783764353100
Category : Mathematics
Languages : en
Pages : 246
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Book Description
Kurt Gödel, together with Bertrand Russell, is the most important name in logic, and in the foundations and philosophy of mathematics of this century. However, unlike Russel, Gödel the mathematician published very little apart from his well-known writings in logic, metamathematics and set theory. Fortunately, Gödel the philosopher, who devoted more years of his life to philosophy than to technical investigation, wrote hundreds of pages on the philosophy of mathematics, as well as on other fields of philosophy. It was only possible to learn more about his philosophical works after the opening of his literary estate at Princeton a decade ago. The goal of this book is to make available to the scholarly public solid reconstructions and editions of two of the most important essays which Gödel wrote on the philosophy of mathematics. The book is divided into two parts. The first provides the reader with an incisive historico-philosophical introduction to Gödel's technical results and philosophical ideas. Written by the Editor, this introductory apparatus is not only devoted to the manuscripts themselves but also to the philosophical context in which they were written. The second contains two of Gödel's most important and fascinating unpublished essays: 1) the Gibbs Lecture ("Some basic theorems on the foundations of mathematics and their philosophical implications", 1951); and 2) two of the six versions of the essay which Gödel wrote for the Carnap volume of the Schilpp series The Library of Living Philosophers ("Is mathematics syntax of language?", 1953-1959).
Author: Kurt Gödel
Publisher: Oxford University Press, USA
ISBN: 0195072553
Category : Mathematics
Languages : en
Pages : 558
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Book Description
"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.
Author: Kurt Gödel
Publisher: Oxford University Press
ISBN: 0198500750
Category : Computers
Languages : en
Pages : 691
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Book Description
The collected works of Kurt Godel is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.
Author: Christian Damböck
Publisher: Springer Nature
ISBN: 3030582515
Category : Science
Languages : en
Pages : 264
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Book Description
This open access volume is based on the 'Early Carnap in Context’ workshop that took place in Konstanz in 2017 and looks at Rudolf Carnap’s philosophy, documented in his recently released diaries, from a combination of historical, cultural and philosophical perspectives. It enables further evaluation of the diaries and traces newly found interrelationships and their systematic definition. From a cultural and historical point of view, Logical Empiricism and Carnap’s pivotal opus, The Logical Structure of the World, did not evolve in a vacuum. This applies equally in a history of philosophy context as well as under consideration of contemporary historical and cultural influences such as the socio-cultural setting in Vienna and Prague, the correlation between Logical Empiricism and Bauhaus modernism, the connection to the Life Reform Movement or the Youth Movement with its own life philosophy. Pursuing Carnap’s progression on a micro level of history and referring the results back to Carnap’s philosophy is now facilitated by recent access to his Diaries from 1908–1935. These shorthand records, reading lists, travel reports and notes constitute a valuable source for the research of networks and social movements which left their mark on him.
Author: Eckart Menzler-Trott
Publisher: American Mathematical Soc.
ISBN: 1470428121
Category :
Languages : en
Pages : 442
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Book Description
Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.
Author: Werner DePauli-Schimanovich
Publisher: Werner DePauli-Schimanovich
ISBN: 385487815X
Category : Logic, Symbolic and mathematical
Languages : de
Pages : 571
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Book Description
