“Turing’s first goal was to make very concrete this notion of definite procedure. The idea is that, given a particular problem to solve, you can construct a definite procedure for solving it by designing a Turing machine that solves it.… — Melanie Mitchell Copy Share Image
“Linearity is a reductionist’s dream, and nonlinearity can sometimes be a reductionist’s nightmare. Understanding the distinction between linearity and nonlinearity is very important and… — Melanie Mitchell Copy Share Image
“Whew, this might be getting a bit confusing. I hope you are following me so far. This is the point in every Theory of… — Melanie Mitchell Copy Share Image
“Turing’s first goal was to make very concrete this notion of definite procedure. The idea is that, given a particular problem to solve, you… — Melanie Mitchell Copy Share Image
“This statement is not provable.” Think about it for a minute. It’s a strange statement, since it talks about itself—in fact, it asserts that… — Melanie Mitchell Copy Share Image
“Tony Rothman points out, “Why the second law should distinguish between past and future while all the other laws of nature do not is… — Melanie Mitchell Copy Share Image
“idea models—models that are simple enough to study via mathematics or computers but that nonetheless capture fundamental properties of natural complex systems.” — Melanie Mitchell Copy Share Image
“Information, as narrowly defined by Shannon, concerns the predictability of a message source. In the real world, however, information is something that is analyzed… — Melanie Mitchell Copy Share Image
“complex system: a system in which large networks of components with no central control and simple rules of operation give rise to complex collective… — Melanie Mitchell Copy Share Image
