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Revision as of 15:42, 4 June 2015
I created this article (obviously still under construction) partly in pursuit of my lifelong interest in the history and philosophy of mathematics.
I have only recently discovered the work of Gregory Chaitin. He and I are similar in age and, in addition, studied only minutes from one another along the Pennsylvania Railroad: he mathematics at CCNY in New York City, I philosophy at Rutgers University in New Brunswick, New Jersey.
Chaitin's interest in Hilbert's promotion of mathematical formalism and my own interest in Carnap's et. al. promotion of logical positivism are, I feel, mirror images of a single mind.
The subject has engaged the comments of many mathematicians and philosophers of mathematics since Hilbert's 1900 lecture. The title that Chaitin gave to his own 2000 lecture allows us to see his work as a homage to Hilbert's vision.
Hilbert 2nd problem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Hilbert_2nd_problem&oldid=36443