"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."
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Philosophers from the United StatesComputer scientists from the United StatesMathematicians from the United StatesPeople from ChicagoLogicians from the United States
Original Language: English
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"Epistemology as information theory: From Leibniz to Omega." arXiv preprint math/0506552 (2005). p. 3
https://en.wikiquote.org/wiki/Gregory_Chaitin
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Gregory Chaitin
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