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how does mathematical proofs work. A proof of a theorem is a nite sequence of claims each claim being derived logically ie. They formalize a process of manipulating statements according to a set of rules much like a game.
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Over the years the mathematical community has agreed upon a number of more-or-less standard conventions for proof writing. By substituting in some tautology from the previous claims as well as theorems whose truth has been already established. Euclid of Alexandria revolutionized the way that mathematics is written presented or thought about and introduced the concept of mathematical proofs.
By substituting in some tautology from the previous claims as well as theorems whose truth has been already established.
Lee University of Washington Mathematics Department Writing mathematical proofs is in many ways unlike any other kind of writing. For example if you are given two of the angles in a triangle you can deduce the value of the third angle from the fact that the angles in all triangles drawn in a plane always add up to 180 degrees. In a direct proof the first thing you do is explicitly assume that the hypothesis is true for your selected variable then use this assumption with definitions and previously proven results to show that the conclusion must be true. A mathematical proof is an argument which convinces other people that something is true.
