Jon Gauthier

“If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos.”
― Gary William Flake, The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation

“So, thought Herzog, acknowledging that his imagination of the universe was elementary, the novae bursting and the worlds coming into being, the invisible magnetic spokes by means of which bodies kept one another in orbit. Astronomers made it all sound as though the gases were shaken up inside a flask. Then after many billions of years, light-years, this childlike but far from innocent creature, a straw hat on his head, and a heart in his breast, part pure, part wicked, who would try to form his own shaky picture of this magnificent web.”
― Saul Bellow, Herzog

“Historians of technology have asked why no industrial revolution developed in antiquity. The simple answer seems to be that there was no need, that contemporary modes of production and the slave-based economy of the day satisfactorily maintained the status quo. The capitalist idea of profit as a desirable end to pursue was completely foreign to the contemporary mentality. So, too, was the idea that technology on a large scale could or should be harnessed to those ends. An industrial revolution was literally unthinkable in antiquity.”
― James E. McClellan

“What we are confronted with now is the problem posed by the economic and symbolic structure of television. Those who run television do not limit our access to information but in fact widen it. Our Ministry of Culture is Huxleyan, not Orwellian. It does everything possible to encourage us to watch continuously. But what we watch is a medium which presents information in a form that renders it simplistic, nonsubstantive, nonhistorical and noncontextual; that is to say, information packaged as entertainment. In America, we are never denied the opportunity to entertain ourselves.”
― Neil Postman