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In philosophy, proving too much is a logical fallacy which occurs when an argument reaches the desired conclusion in such a way as to make that conclusion only a special case or corollary consequence of a larger, obviously absurd conclusion. It is a fallacy because, if the reasoning were valid, it would hold for the absurd conclusion. Showing that an opponent has proved too much is a form of reductio ad absurdum.

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  • Proving too much (en)
  • 證明太多 (zh)
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  • 證明太多（英語：Proving too much），是指論證不只得出了論者想要的結論，還能得出更多顯然錯誤或不合理的結論。 如果接受這種論證，就必須接受那些結論，但那些結論是顯然不可接受的，根據歸謬法，原論證一定有瑕疵，比如前提有問題或推理過程有誤，因而證明太多是推論失效，為一種非形式謬誤。 證明太多的論證，常常取決於「荒謬」結論的規範評斷，因此「證明太多」的說法常常是被挑起以反對被反對的結論的，而這種宣稱也因此常常具有爭議性。一些看法認為，指出對手「證明太多」可以是一種歸謬法的應用。 (zh)
  • In philosophy, proving too much is a logical fallacy which occurs when an argument reaches the desired conclusion in such a way as to make that conclusion only a special case or corollary consequence of a larger, obviously absurd conclusion. It is a fallacy because, if the reasoning were valid, it would hold for the absurd conclusion. Showing that an opponent has proved too much is a form of reductio ad absurdum. (en)
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  • In philosophy, proving too much is a logical fallacy which occurs when an argument reaches the desired conclusion in such a way as to make that conclusion only a special case or corollary consequence of a larger, obviously absurd conclusion. It is a fallacy because, if the reasoning were valid, it would hold for the absurd conclusion. The judgement of fallacy is therefore largely dependent on a normative judgement of the "absurd" conclusion. A charge of "proving too much" is thus generally invoked, rightly or wrongly, against normatively-opposed conclusions, and so such charges are often controversial at the time they are made, as in the following examples: * Gaunilo argued that Anselm's ontological argument, that God exists because he is the greatest conceivable being and to exist is greater than to not exist, proves too much, because Gaunilo believed a parallel argument could be made proving the existence of a perfect island. * The Georgia-born American educator Henry Coppée in 1850 described in his "Elements of Rhetoric" that if one argues that slavery is evil because masters are put into situations where they can beat slaves to death, then marriage and parenthood are also evil because domestic violence exists. Showing that an opponent has proved too much is a form of reductio ad absurdum. (en)
  • 證明太多（英語：Proving too much），是指論證不只得出了論者想要的結論，還能得出更多顯然錯誤或不合理的結論。 如果接受這種論證，就必須接受那些結論，但那些結論是顯然不可接受的，根據歸謬法，原論證一定有瑕疵，比如前提有問題或推理過程有誤，因而證明太多是推論失效，為一種非形式謬誤。 證明太多的論證，常常取決於「荒謬」結論的規範評斷，因此「證明太多」的說法常常是被挑起以反對被反對的結論的，而這種宣稱也因此常常具有爭議性。一些看法認為，指出對手「證明太多」可以是一種歸謬法的應用。 (zh)
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