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  The concept of a proof (from Latin probare, ‘to show evidence’) lies at the very heart of mathematics. A proof is a demonstration of a theorem (the result) from the various suppositions which have been made (it may also use results already known). There is some debate about the nature of a proof in mathematics today: for example, does a proof that a computer makes which is too long to be checked by humans count as a proof? But basically the idea is to give an explanation of why the result is true which will be convincing to those who read it. The deduction of the result should in theory be made using the mechanisms of symbolic logic, though in practice, short cuts are usually taken, as formal proofs in symbols are long and difficult to follow. SMcL  



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Projective Geometry
Proof By Contradiction


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