Does God predetermine all things according to His prescience?

In "An Exact Exposition of the Orthodox Faith" (ἔκδοσις ἀκριβὴς τῆς ὀρθοδόξου πίστεως) John of Damascus wrote, >Χρὴ γινώσκειν, ὡς πάντα μὲν προγινώσκει ὁ θεός, οὐ πάντα δὲ προορίζει· προγινώσκει γὰρ καὶ τὰ ἐφ' ἡμῖν, οὐ προορίζει δὲ αὐτά· οὐ γὰρ θέλει τὴν κακίαν γενέσθαι οὐδὲ βιάζεται τὴν ἀρετήν. Ὥστε τῆς θείας προγνωστικῆς κελεύσεως ἔργον ἐστὶν ὁ προορισμός. Προορίζει δὲ τὰ οὐκ ἐφ' ἡμῖν κατὰ τὴν πρόγνωσιν αὐτοῦ· ἤδη γὰρ κατὰ τὴν πρόγνωσιν αὐτοῦ προέκρινε πάντα ὁ θεὸς κατὰ τὴν ἀγαθότητα καὶ τὴν δικαιοσύνην αὐτοῦ. which I translate as, >It is necessary to understand, while God foreknows everything, yet He does not predetermine everything. For He even foreknows those things that are dependent on us, but He does not predetermine them. For He neither wills evil to occur nor forces virtue, so that predetermination is the work of the divine command of foreknowledge. On the other hand, God predetermines those things which are not dependent on us, according to His foreknowledge. For according to His foreknowledge, God has already forejudged all things according to His goodness and righteousness. Is John's remark that God does not predetermine all things, only things not within our own power and ability, considered an accepted, orthodox belief by Roman Catholicism? Are there any scriptures that contradict his assertion?