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We often hear that mathematics consists mainly of 'proving theorems.' Is a writer's job mainly that of 'writing sentences?GianCarlo Rota
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Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems–general and specific statements–can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.Christopher Zeeman