E3P2D
Demonstration — Part III
Latin
Omnes cogitandi modi Deum quatenus res est cogitans et non quatenus alio attributo explicatur, pro causa habent (per propositionem 6 partis II); id ergo quod mentem ad cogitandum determinat, modus cogitandi est et non extensionis hoc est (per definitionem 1 partis II) non est corpus : quod erat primum. Corporis deinde motus et quies ab alio oriri debet corpore quod etiam ad motum vel quietem determinatum fuit ab alio et absolute quicquid in corpore oritur, id a Deo oriri debuit quatenus aliquo extensionis modo et non quatenus aliquo cogitandi modo affectus consideratur (per eandem propositionem 6 partis II) hoc est a mente quæ (per propositionem 11 partis II) modus cogitandi est, oriri non potest : quod erat secundum. Ergo nec corpus mentem etc. Q.E.D.
English (Elwes 1883)
All modes of thinking have for their cause God, by virtue of his being a thinking thing, and not by virtue of his being displayed under any other attribute (II. vi.). That, therefore, which determines the mind to thought is a mode of thought, and not a mode of extension; that is (II. Def. i.), it is not body. This was our first point. Again, the motion and rest of a body must arise from another body, which has also been determined to a state of motion or rest by a third body, and absolutely everything which takes place in a body must spring from God, in so far as he is regarded as affected by some mode of extension, and not by some mode of thought (II. vi.); that is, it cannot spring from the mind, which is a mode of thought. This was our second point. Therefore body cannot determine mind, &c. Q.E.D.
Modern English
All modes of thinking have God as their cause insofar as he is a thinking thing, not insofar as he is explained under any other attribute (E2P6). What determines the mind to think is therefore a mode of thinking, not a mode of extension, that is, not a body (E2D1). That was the first point.
The motion and rest of a body must originate from another body, which was itself determined to motion or rest by yet another, and absolutely everything that arises in a body must arise from God insofar as he is considered as affected by some mode of extension, not by some mode of thinking (E2P6), that is, it cannot arise from the mind, which is a mode of thinking (E2P11). That was the second point. Therefore the body cannot determine the mind, etc. Q.E.D.