“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
“I don’t remember waking up that Sunday morning —- perhaps I never slept. Iwas just sitting up in bed watching Sarah sleep. She’d slept naked in my bed but she hadn’t let me have sex with her. I didn’t care. I loved watching her sleep. The light was falling through my window, all over the blue sheets of my old bed, and onto her face. I lifted up the sheets and watched her breasts move with her breath. They seemed to be sleeping themselves.
I hoped that she wouldn’t wake up. I laid the sheet back over her, right up to her chin.
I looked up and out of my room.
I thought, This must be what praying is like.”
― Ethan Hawke, quote from The Hottest State
“Children are such tactile beings. They live so fully by their senses that if they see something, they will also want to touch it, smell it, possibly eat it, maybe throw it, feel what it feels like on their heads, listen to it, sort it, and probably submerge it in water. This is entirely natural. Strap on their pith helmets; they’re exploring the world. But imagine the sensory overload that can happen for a child when every surface, every drawer and closet is filled with stuff? So many choices and so much stimuli rob them of time and attention. Too much stuff deprives kids of leisure, and the ability to explore their worlds deeply.”
― quote from Simplicity Parenting: Using the Extraordinary Power of Less to Raise Calmer, Happier, and More Secure Kids
“Rahab, don't you know that when God requires the blood of sacrifices to cover the uncleanness and rebellion of the people of Israel, He is thinking of me as much as of you? God's standards measure my heart, not any illusion of righteousness I might contrive to achieve with my actions. And before those standards I fail every day.... I compare myself to the holy standard God sets for us. Your problem is that you compare yourself to me, and conclude yourself a great failure. But your standards are skewed. In a way, each of us is a ruin before God. The wonder is the lengths He goes to in order to save us both from our ruination.”
― Tessa Afshar, quote from Pearl in the Sand
“case they don’t have them where you live, Sizzler is a restaurant chain specializing in steak and seafood priced so low it’s hard not to worry. 4”
― Dave Hill, quote from Tasteful Nudes and Other Misguided Attempts at Personal Growth and Validation
“He sang “I wish I weren’t me” over and over again just flat of the key of love until he forgot the words and could only hum along. Everyday was the same. The same stupid smile on the same stupid boy. Until the days blurred into a haze and the boy dropped into a depression. Not a cool dark room and cigarette depression like the songs he loved, but one that felt like he was being smothered by a safe, suburban, monotonous blanket. Everything felt like a headache to the boy. Every face, every stupid stuttered sentence all wrapped up into the biggest headache ever. So the boy took an aspirin. And another and another and then went to sleep, lullabyed by hopes he would never wake up to.”
― Pete Wentz, quote from The Boy With The Thorn In His Side
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Bartleby the Scriven...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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