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proof
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mathematics
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A logical argument that establishes the truth of a mathematical statement
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2
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proof
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mathematics
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Varies in style and rigor depending on the level of study and educational context
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1
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3
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proof
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mathematics culture
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A logical demonstration that a statement is true, often using axioms and previously proven theorems
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4
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proof
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mathematics in academic settings
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A formal demonstration that a statement is true
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1
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5
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proof
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mathematics researchers
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Requires rigorous logic and reasoning to establish the truth of a mathematical statement
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1
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6
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proof by contradiction
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mathematics culture
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A valid method of mathematical proof involving assuming the negation of what is to be proved and deriving a contradiction
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1
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7
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proofs
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mathematicians
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Proofs are essential in mathematics to establish the truth of mathematical statements and the validity of mathematical arguments.
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8
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proofs
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mathematics enthusiasts
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Valued as elegant and rigorous demonstrations of truth, a source of beauty and deep insight.
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