A new book on the limits of scientific understanding. Are there some problems we can't solve? Boundaries we can't exceed? Well, yes. Presenting eight significant examples, Dewdney shows how these limitations, rather than acting as dead ends, actually enrich the pursuit of science and math. Among the "impossibilities," loosely: there are some mathematical theorems we will never prove (Godel's Theorem); there are some math problems that are so thorny, computers might solve them --- but only by taking an infinite amount of time (Cook's Theorem); it is not possible to build a machine that runs forever (Perpetual Motion); there are some systems (such as weather) whose long-term behavior cannot be predicted (Chaos Theory).