歐幾里得深愛的「歸謬法」是數學家最精妙的武器之一。
「歸謬法」是比任何弈法更為精妙的棄子取勝法︰
棋手可能犧牲一子或一塊地盤以取得最終的勝利,
而數學家卻是可以犧牲整盤棋局,獲得最後的勝利。
──哈代《一個數學家的辯白》
──哈代《一個數學家的辯白》
這句話的原文為英文:
The proof is by reduction ad absurdum, and reduction ad absurdum, which Euclid loved so much, is one of a mathematician’s finest weapons. It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
──G. H. Hardy, A Mathematician's Apology
哈代(Godfrey Harold Hardy, 1877-1947)英國數學家。在一次受訪中有人問哈代,他以為自己對數學最大的貢獻是甚麼?哈代說:他發現拉馬努金。
The proof is by reduction ad absurdum, and reduction ad absurdum, which Euclid loved so much, is one of a mathematician’s finest weapons. It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
──G. H. Hardy, A Mathematician's Apology
哈代(Godfrey Harold Hardy, 1877-1947)英國數學家。在一次受訪中有人問哈代,他以為自己對數學最大的貢獻是甚麼?哈代說:他發現拉馬努金。
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