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Author : W. D. A. Bryant
Publisher :
ISBN 13 : 9780858373389
Total Pages : 21 pages
Book Rating : 4.86/5 ( download)
Download or read book Unprovable Truths and the Hahn-proposition written by W. D. A. Bryant and published by . This book was released on 1978 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan von Plato
Publisher : Springer Nature
ISBN 13 : 3030508765
Total Pages : 263 pages
Book Rating : 4.60/5 ( download)
Download or read book Can Mathematics Be Proved Consistent? written by Jan von Plato and published by Springer Nature. This book was released on 2020-07-24 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel (1906–1978) shook the mathematical world in 1931 by a result that has become an icon of 20th century science: The search for rigour in proving mathematical theorems had led to the formalization of mathematical proofs, to the extent that such proving could be reduced to the application of a few mechanical rules. Gödel showed that whenever the part of mathematics under formalization contains elementary arithmetic, there will be arithmetical statements that should be formally provable but aren’t. The result is known as Gödel’s first incompleteness theorem, so called because there is a second incompleteness result, embodied in his answer to the question "Can mathematics be proved consistent?" This book offers the first examination of Gödel’s preserved notebooks from 1930, written in a long-forgotten German shorthand, that show his way to the results: his first ideas, how they evolved, and how the jewel-like final presentation in his famous publication On formally undecidable propositions was composed.The book also contains the original version of Gödel’s incompleteness article, as handed in for publication with no mentioning of the second incompleteness theorem, as well as six contemporary lectures and seminars Gödel gave between 1931 and 1934 in Austria, Germany, and the United States. The lectures are masterpieces of accessible presentations of deep scientific results, readable even for those without special mathematical training, and published here for the first time.
Author : Stephen Budiansky
Publisher : Oxford University Press
ISBN 13 : 019886633X
Total Pages : 367 pages
Book Rating : 4.36/5 ( download)
Download or read book Journey to the Edge of Reason written by Stephen Budiansky and published by Oxford University Press. This book was released on 2021 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A remarkable account of the brilliant, troubled mathematician and philosopher Kurt Gödel. From his famous Incompleteness Theorem, which shook the foundations of mathematical truth, to his perilous escape from Nazi Vienna, this book weaves together his creative genius, mental illness, and idealism in the face of adversity.
Author : Randall E. Auxier
Publisher : Open Court
ISBN 13 : 0812698983
Total Pages : 975 pages
Book Rating : 4.85/5 ( download)
Download or read book The Philosophy of Hilary Putnam written by Randall E. Auxier and published by Open Court. This book was released on 2015-05-18 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilary Putnam, who turned 88 in 2014, is one of the world’s greatest living philosophers. He currently holds the position of Cogan University Professor Emeritus of Harvard. He has been called “one of the 20th century’s true philosophic giants” (by Malcolm Thorndike Nicholson in Prospect magazine in 2013). He has been very influential in several different areas of philosophy: philosophy of mathematics, philosophy of language, philosophy of mind, and philosophy of science. This volume in the prestigious Library of Living Philosophers series contains 26 chapters original to this work, each written by a well-known philosopher, including the late Richard Rorty and the late Michael Dummett. The volume also includes Putnam’s reply to each of the 26 critical and descriptive essays, which cover the broad range of Putnam’s thought. They are organized thematically into the following parts: Philosophy and Mathematics, Logic and Language, Knowing and Being, Philosophy of Practice, and Elements of Pragmatism. Readers will also appreciate the extensive Intellectual Autobiography.
Author :
Publisher :
ISBN 13 :
Total Pages : 962 pages
Book Rating : 4.99/5 ( download)
Download or read book Australian National Bibliography written by and published by . This book was released on 1979 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1028 pages
Book Rating : 4.17/5 ( download)
Download or read book National Union Catalog written by and published by . This book was released on 1979 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes entries for maps and atlases.
Author : Roderick M. Chisholm
Publisher : Library of Living Philosophers
ISBN 13 :
Total Pages : 768 pages
Book Rating : 4.86/5 ( download)
Download or read book The Philosophy of Roderick M. Chisholm written by Roderick M. Chisholm and published by Library of Living Philosophers. This book was released on 1997 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Places him in the field and criticizes and describes his work in 30 essays with Chisholm's replies. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Rebecca Goldstein
Publisher : W. W. Norton & Company
ISBN 13 : 0393242455
Total Pages : 299 pages
Book Rating : 4.54/5 ( download)
Download or read book Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries) written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-02-17 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 948 pages
Book Rating : 4.44/5 ( download)
Download or read book Monographic Series written by Library of Congress and published by . This book was released on 1980 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 940 pages
Book Rating : 4.15/5 ( download)
Download or read book Library of Congress Catalogs written by Library of Congress and published by . This book was released on 1981 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:
