Tilly screamed. Anna__ shocked brain only registered annoyance at the sound. Really, when had someone screaming ever solved a problem? She recognized her fixation on this irritation as her own way of avoiding the horror in front of her, but only in a distant and dreamy sort of way.
Solving a problem for which you know there__ an answer is like climbing a mountain with a guide, along a trail someone else has laid. In mathematics, the truth is somewhere out there in a place no one knows, beyond all the beaten paths. And it__ not always at the top of the mountain. It might be in a crack on the smoothest cliff or somewhere deep in the valley.
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Solving a problem for which you know there__ an answer is like climbing a mountain with a guide, along a trail someone else has laid. In mathematics, the truth is somewhere out there in a place no one knows, beyond all the beaten paths. And it__ not always at the top of the mountain. It might be in a crack on the smoothest cliff or somewhere deep in the valley.
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It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature whereas physicists are convinced that it is a mathematical theorem.
For what I am suggesting is that concern for the mysterious is at the heart of the humanities, whereas at the heart of the sciences there is a concern with the problematic. That this is a contrast, and not a dichotomy, is seen in the way in which problem-solving has a place in the humanities__hough the most significant kind of problem is one that, in Marcel__ language, __onceals a mystery___nd in the complementary way in which some scientists, such as Einstein, have spoken of a deepening sense of awe and wonder awakened in them, an awe and wonder in the presence of the universe, that grows through the advance of the sciences, through the growing success in solving problems. But the contrast remains, and since problem-solving can be successful, whereas contemplation of mystery cannot, there cannot be in the humanities any hope for the sort of success the sciences have known. Nor in theology: and especially not in Christian theology whose central mystery is focused in the birth of a child in a stable, and the death of a man on a cross.
Heresy would like to think of itself as 'invented Truth'. But of course, all Reason and Logic would agree that no man can ever create Truth; he can only discover it. If heresy were ever at all beneficial, God would use it really to bring one right back to Truth, as countless 'inventions' have brought men to discovery.