If God creates a world of particles and waves, dancing in obedience to mathematical and physical laws, who are we to say that he cannot make use of those laws to cover the surface of a small planet with living creatures? Martin Gardner More Quotes by Martin Gardner More Quotes From Martin Gardner The greatest scandal of the century in American psychiatry ... is the growing mania among thousands of inept therapists, family counselors, and social workers for arousing false memories of childhoood sexual abuse. Martin Gardner abuse growing memories The last level of metaphor in the Alice books is this: that life, viewed rationally and without illusion, appears to be a nonsense tale told by an idiot mathematician. At the heart of things science finds only a mad, never-ending quadrille of Mock Turtle Waves and Gryphon Particles. For a moment the waves and particles dance in grotesque, inconceivably complex patterns capable of reflecting on their own absurdity. Martin Gardner turtles heart book Speaking about symmetry, look out our window, and you may see a cardinal attacking its reflection in the window. The cardinal is the only bird we have who often does this. If it has a nest nearby, the cardinal thinks there is another cardinal trying to invade its territory. It never realizes it is attacking its own reflection. Cardinals don't know much about mirror symmetry! Martin Gardner mirrors reflection thinking There are, and always have been, destructive pseudo-scientific notions linked to race and religion; these are the most widespread and damaging. Hopefully, educated people can succeed in shedding light into these areas of prejudice and ignorance, for as Voltaire once said: "Men will commit atrocities as long as they believe absurdities." Martin Gardner ignorance men believe One would be hard put to find a set of whole numbers with a more fascinating history and more elegant properties surrounded by greater depths of mystery--and more totally useless--than the perfect numbers. Martin Gardner education math numbers Debunking bad science should be constant obligation of the science community, even if it takes time away from serious research or seems to be a losing battle. One takes comfort from the fact there is no Gresham's laws in science. In the long run, good science drives out bad. Martin Gardner law running long When reputable scientists correct flaws in an experiment that produced fantastic results, then fail to get those results when they repeat the test with flaws corrected, they withdraw their original claims. They do not defend them by arguing irrelevantly that the failed replication was successful in some other way, or by making intemperate attacks on whomever dares to criticize their competence. Martin Gardner atheism tests successful Indeed, there is something to be said for the old math when taught by a poorly trained teacher. He can, at least, get across the fundamental rules of calculation without too much confusion. The same teacher trying to teach new math is apt to get across nothing at all. Martin Gardner education math teacher The computers are not replacing mathematicians; they are breeding them. Martin Gardner breeding mathematician computer Although Lewis Carroll thought of The Hunting of the Snark as a nonsense ballad for children, it is hard to imagine - in fact one shudders to imagine - a child of today reading and enjoying it. Martin Gardner hunting reading children A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful? Martin Gardner musician education beautiful In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance. Martin Gardner simple beautiful dull Mathematics is not only real, but it is the only reality. That is that entire universe is made of matter, obviously. And matter is made of particles. It's made of electrons and neutrons and protons. So the entire universe is made out of particles. Now what are the particles made out of They're not made out of anything. The only thing you can say about the reality of an electron is to cite its mathematical properties. So there's a sense in which matter has completely dissolved and what is left is just a mathematical structure. Martin Gardner real math justice If all sentient beings in the universe disappeared, there would remain a sense in which mathematical objects and theorems would continue to exist even though there would be no one around to write or talk about them. Huge prime numbers would continue to be prime, even if no one had proved them prime. Martin Gardner writing numbers science Modern science should indeed arouse in all of us a humility before the immensity of the unexplored and a tolerance for crazy hypotheses. Martin Gardner crazy humility science There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry. Martin Gardner geometry behinds differences As I have often said, electrons and gerbils don't cheat. People do. Martin Gardner cheat said people The high number from the Middle East is only coincidence, he said. It is no particular choice on our part, ... We accept visa trainees from those countries. We'd accept them from other countries, too, but we don't get their applications. Martin Gardner choices numbers country The violence and double-talk in the Alice books probably does no harm to children, but the novels should not be allowed to circulate indiscriminately among adults who are undergoing analysis. Martin Gardner adults book children