“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
“The urge to fall [in love] was utterly new and made her [Athena] dizzy. He [Odysseus] could catch her and hold her up. She knew he could.
If this is how Aphrodite feels every day, it's no wonder she's such an idiot.”
― Kendare Blake, quote from Antigoddess
“Someone out there was using the fact that stock market orders arrived at different times at different exchanges to front-run orders from one market to another.”
― Michael Lewis, quote from Flash Boys: A Wall Street Revolt
“Seek midday nourishment. Visit memorial acclaimed war hero Colonel Sanders.”
― Chuck Palahniuk, quote from Pygmy
“Daylight fires the ridges green, shifts the colors of the fog, touches the brick streets of Rock Camp with a reddish tone. The streetlights flicker out, and the traffic signal at the far end of Front Street's yoke snaps on; stopping nothing, warning nothing, rushing nothing on. --from The Honored Dead”
― Breece D'J Pancake, quote from The Stories of Breece D'J Pancake
“What do you know of souls and hearts and how they break here? You don't know me at all.”
― Amie Kaufman, quote from This Shattered World
The Fact of a Doorfr...
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Proof by Seduction
SkyClan's DestinyBookQuoters 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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