Éthique, Partie I, Proposition 14
Besides God no substance can be granted or conceived.
Démonstration
As God is a being absolutely infinite, of whom no attribute that expresses the essence of substance can be denied (by Def. vi.), and he necessarily exists (by Prop. xi.); if any substance besides God were granted, it would have to be explained by some attribute of God, and thus two substances with the same attribute would exist, which (by Prop. v.) is absurd; therefore, besides God no substance can be granted, or, consequently, be conceived. If it could be conceived, it would necessarily have to be conceived as existent; but this (by the first part of this proof) is absurd. Therefore, besides God no substance can be granted or conceived. Q.E.D.
Corollaire 1
Clearly, therefore: 1. God is one, that is (by Def. vi.) only one substance can be granted in the universe, and that substance is absolutely infinite, as we have already indicated (in the note to Prop. x.).
Corollaire 2
It follows: 2. That extension and thought are either attributes of God or (by Ax. i.) accidents (affectiones) of the attributes of God.
Benedict de Spinoza, The Ethics (Ethica Ordine Geometrico Demonstrata), traduit du latin par R. H. M. Elwes.
Publié pour la première fois dans The Chief Works of Benedict de Spinoza, vol. II (London : George Bell and Sons, 1884).
Cette traduction est tombée dans le domaine public aux États-Unis, où elle a été publiée en 1884, ainsi que partout où la durée du droit d'auteur est la vie de l'auteur plus 100 ans ou moins ; son traducteur est décédé en 1892.
Le découpage en unités, les titres et la place des notes sont le fait de ce site.
Texte numérique : Project Gutenberg eBook #3800