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Ética, Parte I, Proposição 6

One substance cannot be produced by another substance.

Demonstração

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.

Corolário

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), traduzido do latim por R. H. M. Elwes.

Primeira publicação em The Chief Works of Benedict de Spinoza, vol. II (London: George Bell and Sons, 1884).

Esta tradução está em domínio público nos Estados Unidos, onde foi publicada em 1884, e em todos os lugares onde o prazo de direitos autorais é a vida do autor mais 100 anos ou menos; seu tradutor morreu em 1892.

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Texto digital: Project Gutenberg eBook #3800

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