“We can use the same model for pedestrians. The rules will be similar, in that movement will be dictated by the space available, but there is more freedom of movement because, unlike cars, which have defined lanes and tend not… — Richard Bookstaber Copy Share Image
“Alan Turing’s halting problem: you can’t know if the cells will all die off without running the game until they do die off. Thus, Life, a two-state process governed by four rules, is computationally irreducible. Von Neumann designed the universal constructor with the objective of self-replication; Conway designed his cellular automaton without any specific objective in mind. But he observed,… — Richard Bookstaber Copy Share
“One of the most important axioms is that as the quantity of any commodity, for instance plain food, which a man has to consume… — Richard Bookstaber Copy Share Image
“Baron Rothschild quipped that there are “three principal ways to lose your money: wine, women, and engineers. While the first two are more pleasant,… — Richard Bookstaber Copy Share Image
“The three-body problem illustrates how easy it is to run into computational irreducibility. It is a problem that borders on the trivial, yet it… — Richard Bookstaber Copy Share Image
“on March 28, 2007, Ben Bernanke, the chairman of the Federal Reserve, stated to the Joint Economic Committee of Congress that “the impact on… — Richard Bookstaber Copy Share Image
“Mathematics works only with computationally reducible systems. Axioms and deductive logic are intended to provide shortcuts, to give general results that can compress a… — Richard Bookstaber Copy Share Image
“A sheet of paper has the words “The statement on the other side of this paper is true” written on one side and “The… — Richard Bookstaber Copy Share Image
“We can use the same model for pedestrians. The rules will be similar, in that movement will be dictated by the space available, but… — Richard Bookstaber Copy Share Image
“Linda is thirty-one years old, single, outspoken, and very bright. She majored in philosophy. As a student she was deeply concerned with issues of… — Richard Bookstaber Copy Share Image
“The term railway was to Victorian England what atomic or aerodynamic were to be after World War II, and network and virtual are today.… — Richard Bookstaber Copy Share Image
