Like Douglas Hofstadteras GApdel, Escher, Bach, and David Berlinskias A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logicathe one indispensable tool in manas quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.We might extract meaning from the syllogism by replacing it with the following abstract model: All x arey. All z are x. Therefore, all z arey. ... It means that we must show that the premises themselves must be true to make sense of the argument.

Title | : | Euclid in the Rainforest |

Author | : | Joseph Mazur |

Publisher | : | Penguin - 2006-07-25 |

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