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《伦理学》,第I部分,命题12

No attribute of substance can be conceived from which it would follow that substance can be divided.

证明

The parts into which substance as thus conceived would be divided either will retain the nature of substance, or they will not. If the former, then (by Prop. viii.) each part will necessarily be infinite, and (by Prop. vi.) self--caused, and (by Prop. v.) will perforce consist of a different attribute, so that, in that case, several substances could be formed out of one substance, which (by Prop. vi.) is absurd. Moreover, the parts (by Prop. ii.) would have nothing in common with their whole, and the whole (by Def. iv. and Prop. x.) could both exist and be conceived without its parts, which everyone will admit to be absurd. If we adopt the second alternative--namely, that the parts will not retain the nature of substance--then, if the whole substance were divided into equal parts, it would lose the nature of substance, and would cease to exist, which (by Prop. vii.) is absurd.

Benedict de Spinoza, The Ethics (Ethica Ordine Geometrico Demonstrata), 由R. H. M. Elwes译自拉丁文.

首次出版于The Chief Works of Benedict de Spinoza,第II卷(London:George Bell and Sons,1884)。

本译文在美国已超出版权保护期(1884年出版于美国),在版权期限为作者终身加100年或更短的任何地方同样如此;其译者卒于1892年。

单元划分、标题和注释的位置均出自本站。

数字文本: Project Gutenberg eBook #3800