Incompleteness

Incompleteness
Author: Rebecca Goldstein
Publsiher: W. W. Norton & Company
Total Pages: 299
Release: 2006-01-31
Genre: Biography & Autobiography
ISBN: 9780393327601

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"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Incompleteness The Proof and Paradox of Kurt G del Great Discoveries

Incompleteness  The Proof and Paradox of Kurt G  del  Great Discoveries
Author: Rebecca Goldstein
Publsiher: W. W. Norton & Company
Total Pages: 224
Release: 2006-02-17
Genre: Biography & Autobiography
ISBN: 9780393242454

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"A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven Pinker Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

Incompleteness

Incompleteness
Author: Rebecca Goldstein
Publsiher: Unknown
Total Pages: 296
Release: 2005
Genre: Gödel's theorem
ISBN: 0739457446

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Godel s Proof

Godel s Proof
Author: Ernest Nagel,James R. Newman
Publsiher: Routledge
Total Pages: 109
Release: 2012-11-12
Genre: Philosophy
ISBN: 9781134953998

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The first book to present a readable explanation of Godel's theorem to both scholars and non-specialists, this is a gripping combination of science and accessibility, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

A short remark on G del incompleteness theorem and its self referential paradox from Neutrosophic Logic perspective

A short remark on G  del incompleteness theorem and its self referential paradox from Neutrosophic Logic perspective
Author: V. Christianto,F. Smarandache
Publsiher: Infinite Study
Total Pages: 6
Release: 2024
Genre: Mathematics
ISBN: 9182736450XXX

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It is known from history of mathematics, that Gödel submitted his two incompleteness theorems, which can be considered as one of hallmarks of modern mathematics in 20th century. Here we argue that Gödel incompleteness theorem and its self-referential paradox have not only put Hilbert’s axiomatic program into question, but he also opened up the problem deep inside the then popular Aristotelian Logic.

An Introduction to G del s Theorems

An Introduction to G  del s Theorems
Author: Peter Smith
Publsiher: Cambridge University Press
Total Pages: 376
Release: 2007-07-26
Genre: Mathematics
ISBN: 9780521857840

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Peter Smith examines Gödel's Theorems, how they were established and why they matter.

A World Without Time

A World Without Time
Author: Palle Yourgrau
Publsiher: Basic Books
Total Pages: 226
Release: 2009-03-04
Genre: Science
ISBN: 9780786737000

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It is a widely known but little considered fact that Albert Einstein and Kurt Godel were best friends for the last decade and a half of Einstein's life. The two walked home together from Princeton's Institute for Advanced Study every day; they shared ideas about physics, philosophy, politics, and the lost world of German science in which they had grown up. By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist . Einstein endorsed this result-reluctantly, since it decisively overthrew the classical world-view to which he was committed. But he could find no way to refute it, and in the half-century since then, neither has anyone else. Even more remarkable than this stunning discovery, however, was what happened afterward: nothing. Cosmologists and philosophers alike have proceeded with their work as if Godel's proof never existed -one of the greatest scandals of modern intellectual history. A World Without Time is a sweeping, ambitious book, and yet poignant and intimate. It tells the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue from undeserved obscurity the brilliant work they did together.

Reflections on Kurt G del

Reflections on Kurt G  del
Author: Hao Wang
Publsiher: MIT Press
Total Pages: 366
Release: 1990-03-14
Genre: Philosophy
ISBN: 0262730871

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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.