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『エチカ』、第I部、定理12

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

証明

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), R. H. M. Elwesによるラテン語からの翻訳.

The Chief Works of Benedict de Spinoza、第II巻(London:George Bell and Sons、1884年)に初めて刊行されました。

この翻訳は、1884年に出版された米国では著作権の保護期間を過ぎており、保護期間が著作者の生存期間に100年を加えた期間以下であるすべての地域でも同様です。翻訳者は1892年に亡くなりました。

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