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More than once were suggested that the results of the field of logic appear to be useful at the checking of ready-made proofs but refused to serve when one has to discover evidence; although some very reputable mathematicians supported this view, we allow ourselves to disagree with it. Every time they offer arguments for this point of view (and very often it speaks without any arguments), they demonstrate a ‘frontal’, straightforward interpretation of the results of logic. However, such an interpretation of the interrelations between logic and heuristic is not the only possible one. On the contrary, other interpretations possible, in which logic and heuristics are two sides of the single process of learning. In our paper, we consider both mentioned uses of the logic.
Keywords: Intuitive evidence, logical proof, heuristic advices.
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