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《伦理学》,第I部分,命题13

Substance absolutely infinite is indivisible.

证明

If it could be divided, the parts into which it was divided would either retain the nature of absolutely infinite substance, or they would not. If the former, we should have several substances of the same nature, which (by Prop. v.) is absurd. If the latter, then (by Prop. vii.) substance absolutely infinite could cease to exist, which (by Prop. xi.) is also absurd.

绎理

It follows, that no substance, and consequently no extended substance, in so far as it is substance, is divisible.

附释

The indivisibility of substance may be more easily understood as follows. The nature of substance can only be conceived as infinite, and by a part of substance, nothing else can be understood than finite substance, which (by Prop. viii) involves a manifest contradiction.

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