E1P13S

Scholium — Part I

Latin

Quod substantia sit indivisibilis, simplicius ex hoc solo intelligitur quod natura substantiæ non potest concipi nisi infinita et quod per partem substantiæ nihil aliud intelligi potest quam substantia finita, quod (per propositionem 8) manifestam contradictionem implicat.

English (Elwes 1883)

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.

Modern English

That substance is indivisible can be grasped more simply from this alone: the nature of substance cannot be conceived as anything but infinite, and 'a part of substance' can mean nothing other than a finite substance, which (by (E1P8)) implies a manifest contradiction.

Depends on (1)

Propositions