Gregory Chaitin: Computer

Gregory Chaitin is Argentinian mathematician and computer scientist. Explore interesting quotes on computer.

Gregory Chaitin: 10 quotes 0 likes

“Are there mathematical propositions for which there is a considerable amount of computational evidence, evidence that is so persuasive that a physicist would regard them as experimentally verified?”

Gregory Chaitin

Thoughts on the Riemann hypothesis http://link.springer.com/article/10.1007/BF02985392 The Mathematical Intelligencer (December 2004) vol. 26, issue 1, pp. 4–7, quote on p. 4

Mathematics

“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.”

Gregory Chaitin

"Epistemology as information theory: From Leibniz to Omega." https://arxiv.org/abs/math/0506552 arXiv preprint math/0506552 (2005). p. 3

Law , Mathematics , Understanding , Question

“I'm interested in the computer as a new idea, a new and fundamental philosophical concept that changes mathematics, that solves old problems better and suggests new problems, that changes our way of thinking and helps us to understand things better, that gives us radically new insights…”

Gregory Chaitin

Meta Maths!: The Quest for Omega https://books.google.com/books?id=ZACLDQAAQBAJ&pg=PA11. Vintage Books (2006). p. 11

Way , Mathematics , Idea , Understanding