Discussion:
What did Hilbert do?
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chen
2009-04-11 03:24:55 UTC
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Slide 29 of l20
Nancy Day
2009-04-11 17:52:04 UTC
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Post by chen
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Slide 29 of l20
Russell and Whitehead tried to write all knowledge of arithmetic as
logical axioms in a common format in 3 volumes called Principia
Mathematica, approx 1910.

David Hilbert challenged mathematicians to show that all
mathematical truths could be proven from a finite set of consistent
inference rules. (early 1920’s)

Godel showed that Hilbert’s goal was impossible.

cheers, nancy
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Nancy Day, Associate Professor
CS245 Winter 2009 Instructor
http://www.student.cs.uwaterloo.ca/~cs245
David R. Cheriton School of Computer Science, University of Waterloo
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