“Why do I think that Turing's paper "On computable numbers" is so important? Well, in my opinion it's a paper on epistemology, because we only understand something if we can program it, as I will explain in more detail later. And it's a paper on physics, because what we can actually compute depends on the laws of physics in our particular universe and distinguishes it from other possible universes. And it's a paper on ontology, because it shows that some real numbers are uncomputable, which I shall argue calls into question their very existence, their mathematical and physical existence.”
"Epistemology as information theory: From Leibniz to Omega." https://arxiv.org/abs/math/0506552 arXiv preprint math/0506552 (2005). p. 3
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Gregory Chaitin 5
Argentinian mathematician and computer scientist 1947Related quotes

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As quoted in the U.S. Navy's Chips Ahoy magazine (July 1986) http://web.archive.org/web/20090114165606/http://www.chips.navy.mil/archives/86_jul/interview.html