Home > Work > Deep Simplicity: Bringing Order to Chaos and Complexity
1 " Earth as our home in space, a single blue-white oasis of life surrounded by a black desert. "
― John Gribbin , Deep Simplicity: Bringing Order to Chaos and Complexity
2 " As I understood it, what really mattered was simply that some systems (‘system’ is just a jargon word for anything, like a swinging pendulum, or the Solar System, or water dripping from a tap) are very sensitive to their starting conditions, so that a tiny difference in the initial ‘push’ you give them causes a big difference in where they end up, and there is feedback, so that what a system does affects its own behaviour. "
3 " Poincare took Laplace’s argument to its logical conclusion. He proved, using the full rigour of mathematics, that if you have a box of gas containing a definite number of particles (as many as you like, as long as it is not actually infinite) and the particles strictly obey Newton’s laws of motion, then after a sufficiently long interval of time the distribution of the particles in the box must return to its original state, with each particle moving in the same direction and at the same speed that it was moving to start with. "
4 " The lack of solutions to the Three-Body Problem is not caused by our human deficiencies as mathematicians, it is build into the laws of mathematics. "