“Whew, this might be getting a bit confusing. I hope you are following me so far. This is the point in every Theory of Computation course at which students either throw up their hands and say "I can't get my mind around this stuff!" or clap their hands and say "I love this stuff!"
Needless to say, I was the second kind of student, even though I shared the confusion of the first.”
― quote from Complexity: A Guided Tour
“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 it is not provable. Let’s call this statement “Statement A.” Now, suppose Statement A could indeed be proved. But then it would be false (since it states that it cannot be proved). That would mean a false statement could be proved—arithmetic would be inconsistent. Okay, let’s assume the opposite, that Statement A cannot be proved. That would mean that Statement A is true (because it asserts that it cannot be proved), but then there is a true statement that cannot be proved—arithmetic would be incomplete. Ergo, arithmetic is either inconsistent or incomplete.”
― quote from Complexity: A Guided Tour
“complex system: a system in which large networks of components with no central control and simple rules of operation give rise to complex collective behavior, sophisticated information processing, and adaptation via learning or evolution.”
― quote from Complexity: A Guided Tour
“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 worthwhile. To”
― quote from Complexity: A Guided Tour
“As the nineteenth-century philosopher Henry David Thoreau put it, “All perception of truth is the detection of an analogy.”
― quote from Complexity: A Guided Tour
“In short, what Brown, Enquist, and West are saying is that evolution structured our circulatory systems as fractal networks to approximate a “fourth dimension” so as to make our metabolisms more efficient. As West, Brown, and Enquist put it, “Although living things occupy a three-dimensional space, their internal physiology and anatomy operate as if they were four-dimensional … Fractal geometry has literally given life an added dimension.”
― quote from Complexity: A Guided Tour
“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. Turing machines were put forth as the definition of “definite procedure,” hitherto a vague and ill-defined notion.”
― quote from Complexity: A Guided Tour
“idea models—models that are simple enough to study via mathematics or computers but that nonetheless capture fundamental properties of natural complex systems.”
― quote from Complexity: A Guided Tour
“Tony Rothman points out, “Why the second law should distinguish between past and future while all the other laws of nature do not is perhaps the greatest mystery in physics.”
― quote from Complexity: A Guided Tour
“Information, as narrowly defined by Shannon, concerns the predictability of a message source. In the real world, however, information is something that is analyzed for meaning, that is remembered and combined with other information, and that produces results or actions. In short, information is processed via computation.”
― quote from Complexity: A Guided Tour
“reached. In dynamical systems theory, each of these abrupt period doublings is called a bifurcation. This succession of bifurcations culminating in chaos has been called the “period doubling route”
― quote from Complexity: A Guided Tour
“There’s a cluster of five galaxies called Stephan’s Quintet, which we see through the Hubble telescope spectacularly colliding with each other. But we see them colliding 280 million years ago. If there are aliens in one of those colliding galaxies with a telescope powerful enough to see us, what they are seeing on Earth, at this very moment, here and now, is the early ancestors of the dinosaurs.”
― Richard Dawkins, quote from The Magic of Reality: How We Know What's Really True
“This is what I do know: A lie, however well-intended, can't prepare you for reality or change the world... To tell the truth is to provide armament against a world too full of cruelties to be defeated with simple falsehoods... It seems to me we owe the world--more, we owe ourselves--the exchange of comfort for the chance that maybe the truth can do what people always say it can. The truth may, given the opportunity, set us free.”
― Mira Grant, quote from Deadline
“Reflecting your current reality. Dreams are fasinating, aren't they? Portholes into the subconscious.”
― Heidi R. Kling, quote from Sea
“What sets a man writhing sleepless in bed at night is not having injured his fellow so much as having been wrong; the mere injury he can efface by destroying the victim and the witness but the mistake is his and that is one of his cats which he always prefers to choke to death with butter.”
― William Faulkner, quote from Intruder in the Dust
“If you say a word, it leaps out and becomes the truth. I love you. I believe it. I believe I am loveable. How can something as fragile as a word build a whole world?”
― Franny Billingsley, quote from Chime
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Woman: An Intimate G...BookQuoters is a community of passionate readers who enjoy sharing the most meaningful, memorable and interesting quotes from great books. As the world communicates more and more via texts, memes and sound bytes, short but profound quotes from books have become more relevant and important. For some of us a quote becomes a mantra, a goal or a philosophy by which we live. For all of us, quotes are a great way to remember a book and to carry with us the author’s best ideas.
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