“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
“Number 40: Love is worth the risk.”
― Alice Kuipers, quote from 40 Things I Want To Tell You
“It's not an effective protest if it's not pissing people off.”
― John Scalzi, quote from Lock In
“Ram finally stood up and said in a voice that was clear and soothing, ‘Know this, Ayodhya is not mine to give or Bharata’s to take; Ayodhya is the responsibility of the Raghu clan, not our property. It will be injustice if the kings of the Raghu clan do not keep their word, it will be injustice if the wishes of Kaikeyi are not fulfilled. My father promised to fulfil her wishes and he is obliged to fulfil them, as am I. Do not blame her for asking what is due to her. Yes, the event is unfortunate but it is but one event in our lives; we can call it a tragedy if we wish. Blaming helps no one; let us take responsibility for it. For nothing in life happens spontaneously: it is the result of past actions. This moment is as it is supposed to be. I am repaying the debt of the past and so are you. We cannot choose the circumstances of our life, but we can make our choices. I have chosen to be true to my clan. My wife has chosen to be true to her role as my wife. My brother has chosen to be true to his feelings. Allow us our choices. Come to terms with our decisions. You are angry not with the queen or her son, or the king, you are angry that life has not turned out the way you thought it would. In a moment, the world you so took for granted has collapsed. Expand your mind and understand that the pain comes from your assumptions and expectations. Choose love over hate, by accepting the fears and fragilities of humanity that lead to situations such as these. This moment is the outcome of some curse, or maybe it is a boon in waiting. Who knows? Varuna has a thousand eyes, Indra a hundred, you and I, only two.”
― Devdutt Pattanaik, quote from Sita: An Illustrated Retelling of the Ramayana
“During moments of uterine compromise, my presence on campus would put faculty and students at risk. Think Columbine, but in a Burberry trench.”
― quote from White Girl Problems
“The author urges taking the pulse of the church outside our own neighborhood. More church attending Presbyterians in Ghana than Scotland, and while Western pastors beg to fill seats, some African pastors are asking people only to attend every second or third week to give room for others in packed churches.”
― Dinesh D'Souza, quote from What's So Great About Christianity
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Leo's ChanceBookQuoters 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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