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AHSME 1951 Problem 14

    In connection with proof in geometry, indicate which one of the following statements is incorrect: (A) Some statements are accepted without being proved.\textbf{(A)}\ \text{Some statements are accepted without being proved.} (B) In some instances there is more than one correct order in proving certain propositions.\textbf{(B)}\ \text{In some instances there is more than one correct order in proving certain propositions.} (C) Every term used in a proof must have been defined previously.\textbf{(C)}\ \text{Every term used in a proof must have been defined previously.} (D) It is not possible to arrive by correct reasoning at a true conclusion if, in the given, there is an untrue proposition.\textbf{(D)}\ \text{It is not possible to arrive by correct reasoning at a true conclusion if, in the given, there is an untrue proposition.} (E) Indirect proof can be used whenever there are two or more contrary propositions.\textbf{(E)}\ \text{Indirect proof can be used whenever there are two or more contrary propositions.}

    Dataset text NuminaMath-1.5. Quoted with source.

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    E

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