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『エチカ』、第I部、定理6

One substance cannot be produced by another substance.

証明

It is impossible that there should be in the universe two substances with an identical attribute, i.e. which have anything common to them both (Prop. ii.), and, therefore (Prop. iii.), one cannot be the cause of the other, neither can one be produced by the other. Q.E.D.

系

Hence it follows that a substance cannot be produced by anything external to itself. For in the universe nothing is granted, save substances and their modifications (as appears from Ax. i. and Deff. iii. and v.). Now (by the last Prop.) substance cannot be produced by another substance, therefore it cannot be produced by anything external to itself. Q.E.D. This is shown still more readily by the absurdity of the contradictory. For, if substance be produced by an external cause, the knowledge of it would depend on the knowledge of its cause (Ax. iv.), and (by Def. iii.) it would itself not be substance.

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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デジタルテキスト: Project Gutenberg eBook #3800

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