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Discussion: IT’S NOT ALL IN THE NUMBERS: GREGORY CHAITIN EXPLAINS GÖDEL’S MATHEMAT
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simplycharly |
IT’S NOT ALL IN THE NUMBERS: GREGORY CHAITIN EXPLAINS GÖDEL’S MATHEMAT
Mar 27 2008, 9:27 PM EDT
“In any non-trivial axiomatic system,” stated Austrian mathematician and logician Kurt Gödel (1906 – 1978), “there are true theorems which cannot be proven.”This finding forms the basis of Gödel’s groundbreaking Incompleteness Theorem, demonstrating that the establishment of a set of axioms encompassing all of mathematics would never succeed. When it was first made public in 1931, the theorem revolutionized the field of mathematics and logic, disproving the prevailing belief that mathematics could be explained with the correct set of axioms. Gregory Chaitin is at the IBM Thomas J. Watson Research Center in Yorktown Heights, New York. He is the discoverer of the celebrated Omega number, and has devoted his life to developing a complexity-based view of incompleteness. He calls this subject "algorithmic information theory," and has published eleven books and numerous papers, some of which may be found on his website at http://www.cs.umaine.edu/~chaitin. Read the full interview here http://www.simplygodel.com/interviews.htm Do you find this valuable?
Keyword tags:
Gödel
Kurt Gödel
Logic
Math
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blemons |
1. RE: IT’S NOT ALL IN THE NUMBERS: GREGORY CHAITIN EXPLAINS GÖDEL’S MATHEMAT
Mar 31 2008, 12:14 PM EDT
Are there many mathematicians in the world today who still follow this work and the tradition of mathematics? I would think that with the advent of computers and the dependence on machines to make sense of mathematics there would be fewer and fewer pursuing serious work in this field and dedicating their lives to its study in the way that Godel did.
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