I have been practicing for a proof test. The more I practice the more I see those three words: Proof, Show and Find. Is there a formal definition on what a question is asking for when each of these words is used?
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"Prove" = "Show", for starters. "Prove the following statement", and, "Show that the following statement is true", are two ways of saying the same thing. – G Tony Jacobs Oct 14 '17 at 16:55
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"find" means usually recognizing a pattern or having a special idea leading to a conjecture. – Peter Oct 14 '17 at 17:25
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Find can also be used for equations and similar: "Find a real number $x$ such that /.../", "Find a function $f$ satisfying /.../" – md2perpe Oct 14 '17 at 18:04