E5P31D
Demonstration — Part V
Latin
Mens nihil sub æternitatis specie concipit nisi quatenus sui corporis essentiam sub æternitatis specie concipit (per propositionem 29 hujus) hoc est (per propositiones 21 et 23 hujus) nisi quatenus æterna est adeoque (per propositionem præcedentem) quatenus æterna est, Dei habet cognitionem, quæ quidem cognitio est necessario adæquata (per propositionem 46 partis II) ac proinde mens quatenus æterna est, ad illa omnia cognoscendum est apta quæ ex data hac Dei cognitione consequi possunt (per propositionem 40 partis II) hoc est ad res tertio cognitionis genere cognoscendum (vide hujus definitionem in II scholio propositionis 40 partis II) cujus propterea mens (per definitionem 1 partis III) quatenus æterna est, causa est adæquata seu formalis. Q.E.D.
English (Elwes 1883)
The mind does not conceive anything under the form of eternity, except in so far as it conceives its own body under the form of eternity (V. xxix.); that is, except in so far as it is eternal (V. xxi. xxiii.); therefore (by the last Prop.), in so far as it is eternal, it possesses the knowledge of God, which knowledge is necessarily adequate (II. xlvi.); hence the mind, in so far as it is eternal, is capable of knowing everything which can follow from this given knowledge of God (II. xl.), in other words, of knowing things by the third kind of knowledge (see Def. in II. xl. note. ii.), whereof accordingly the mind (III. Def. i.), in so far as it is eternal, is the adequate or formal cause of such knowledge. Q.E.D.
Modern English
The mind conceives nothing *sub specie aeternitatis* except insofar as it conceives the essence of its own body *sub specie aeternitatis* (E5P29), that is, except insofar as it is eternal (E5P21). Therefore, insofar as it is eternal, it has knowledge of God (E5P30), and that knowledge is necessarily adequate (E2P46). The mind, insofar as it is eternal, is consequently capable of knowing everything that can follow from this given knowledge of God (E2P40), in other words, capable of knowing things by the third kind of knowledge (see its definition in E2P40S2), of which the mind (E3D1), insofar as it is eternal, is the adequate or formal cause. Q.E.D.