Ética, Parte I, Proposição 13
Substance absolutely infinite is indivisible.
Demonstração
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.
Corolário
It follows, that no substance, and consequently no extended substance, in so far as it is substance, is divisible.
Escólio
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), 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