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Pondering the power of the impossible

机译:思考不可能的力量

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In Beyond Reason the computer scientist Alexander Dewclney presents some major truths in mathematics and physics by the device of focusing each chapter on what mathematicians call an "impossibility theorem": a statement that some desired task simply cannot be done. To give some examples: he discusses the laws of energy conservation and of entropy increase in terms of the impossibility of perpetual motion; relativity in terms of the impossibility of exceeding the speed of light; and real-number theory in terms of the impossibility of "squaring the circle"-creating a square with the same area as a circle. Four of his chapters are physics topics, four are mathematical.
机译:在《超越理性》中,计算机科学家亚历山大·杜克尼(Alexander Dewclney)通过将每一章的重点放在数学家所谓的“不可能定理”上,提出了一些数学和物理学上的重大真理:一种无法完成某些所需任务的陈述。举一些例子:他从永动机不可能的角度讨论了能量守恒和熵增加的规律。就不可能超过光速而言的相对论;和实数理论,就不可能“平方圆”,即创建一个面积与圆相同的正方形。他的四章是物理主题,四章是数学。

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