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『エチカ』、第I部、定理13

Substance absolutely infinite is indivisible.

証明

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.

系

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

備考

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), 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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