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"There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry."
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Martin Gardner"The deeper question that lies behind the above banalities is whether the rules of baseball are similar to or radically different from the rules of science. Clearly they are radically different. Like the rules of chess and bridge, the rules of baseball are made by humans. But the rules of science are not. They are discovered by observation, reasoning, and experiment. Newton didn’t invent his laws of gravity except in the obvious sense that he thought of them and wrote them down. Biologists didn’t “construct” the DNA helix; they observed it. The orbit of Mars is not a social construction. Einstein did not make up E=mc2 the way game rules are made up. To see rules of science as similar to baseball rules, traffic rules, or fashions in dress is to make a false analogy that leads nowhere."
Martin Gardner was an American writer on popular mathematics and popular science. His interests also encompassed magic, scientific skepticism, micromagic, philosophy, religion, and literature – especially the writings of Lewis Carroll, L. Frank Baum, and G. K. Chesterton. He was a leading authority on Lewis Carroll; The Annotated Alice, which incorporated the text of Carroll's two Alice books, was
"There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry."
"Mathemagical mathematics combines the beauty of mathematical structure with the entertainment value of a trick."
"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."
"The King James Bible is a literary masterpiece best left unaltered. It is a classic to put on a shelf alongside the great fantasies of Homer, Virgil, Dante, Milton, and yes, even the Koran."
"Ideologues of all persuasions think they know how the economy will respond to the Administrations strange mixture of Lafferism and monetarism. Indeed, their self-confidence is so vast, and their ability to rationalize so crafty, that one cannot imagine a scenario for the next few years, that they would regard as falsifying their dogma. The failure of any prediction can always be blamed on quirky political decisions or unforeseen historical events."
"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."