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Kant on Time I: The Kinematics of the Metaphysical Foundations of Natural Science
Kant-Studien ( IF 0.9 ) Pub Date : 2019-09-01 , DOI: 10.1515/kant-2019-3007
David Hyder

Abstract The theory of space-time developed in Kant’s Critique of Pure Reason and his (1786) Metaphysical Foundations of Natural Science is connected to Leonhard Euler’s proof of invariance under Galilean transformations in the “On Motion in General” of the latter’s 1736 Analytical Mechanics. It is argued that Kant, by using the Principle of Relativity that is the output of Euler’s proof as an input to his own proof of the kinematic parallelogram law, makes essential use of absolute simultaneity. This is why, in the Transcendental Aesthetic, he observes that “our theory of time explains as much a priori knowledge as the general theory of motion displays.” (KrV, B 67) In conclusion, it is shown that the same proof-method, under a different definition of simultaneity, leads to the parallelogram law of the “Kinematic Part” of Einstein’s 1905 “On the Electrodynamics of Moving Bodies”.

中文翻译:

《时间康德I:自然科学的形而上学基础的运动学》

摘要康德的《纯粹理性批判》(1786年,《自然科学的形而上学基础》)中发展的时空理论与莱昂哈德·欧拉的伽利略变换在1736年的《解析力学》中的“一般运动”下的不变性证明相关。有人认为,康德通过使用相对论,即欧拉证明的输出作为他自己的运动学平行四边形定律证明的输入,必不可少地使用了绝对同时性。这就是为什么他在先验美学中观察到“我们的时间理论解释了与一般运动显示理论一样多的先验知识”的原因。(KrV,B 67)总之,证明了在不同的同时性定义下,相同的证明方法,
更新日期:2019-09-01
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