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E1P8S1

Scholium — Part I

Latin

Cum finitum esse revera sit ex parte negatio et infinitum absoluta affirmatio existentiæ alicujus naturæ, sequitur ergo ex sola 7 propositione omnem substantiam debere esse infinitam.

English (Elwes 1883)

As finite existence involves a partial negation, and infinite existence is the absolute affirmation of the given nature, it follows (solely from Prop. vii.) that every substance is necessarily infinite.

Modern English

Since being finite is in truth a partial negation, and being infinite is the absolute affirmation of the existence of a nature, it follows from (E1P7) alone that every substance must be infinite.

Depends on (1)

Propositions