From New Advent, on the two main Catholic schools of thought on this matter:
The Dominican or Thomist solution, as it is called, teaches in brief that God premoves each man in all his acts to the line of conduct which he subsequently adopts. It holds that this premotive decree inclines man’s will with absolute certainty to the side decreed, but that God adapts this premotion to the nature of the being thus premoved. It argues that as God possesses infinite power He can infallibly premove man–who is by nature a free cause–to choose a particular course freely, whilst He premoves the lower animals in harmony with their natures to adopt particular courses by necessity. Further, this premotive decree being inevitable though adapted to suit the free nature of man, provides a medium in which God foresees with certainty the future free choice of the human being. The premotive decree is thus prior in order of thought to the Divine cognition of man’s future actions. Theologians and philosophers of the Jesuit School, frequently styled Molinists, though they do not accept the whole of Molina’s teaching and generally prefer Francisco Suárez’s exposition of the theory, deem the above solution unsatisfactory. It would, they readily admit, provide sufficiently for the infallibility of the Divine foreknowledge and also for God’s providential control of the world’s history; but, in their view, it fails to give at the same time an adequately intelligible account of the freedom of the human will. According to them, the relation of the Divine action to man’s will should be conceived rather as of a concurrent than of a premotive character; and they maintain that God’s knowledge of what a free being would choose, if the necessary conditions were supplied, must be deemed logically prior to any decree of concurrence or premotion in respect to that act of choice. Briefly, they make a threefold distinction in God’s knowledge of the universe based on the nature of the objects known–the Divine knowledge being in itself of course absolutely simple. Objects or events viewed merely as possible, God is said to apprehend by simple intelligence (simplex intelligentia). Events which will happen He knows by vision (scientia visionis). Intermediate between these are conditionally future events–things which would occur were certain conditions fulfilled. God’s knowledge of this class of contingencies they term scientia media. For instance Christ affirmed that, if certain miracles had been wrought in Tyre and Sidon, the inhabitants would have been converted. The condition was not realized, yet the statement of Christ must have been true. About all such conditional contingencies propositions may be framed which are either true or false–and Infinite Intelligence must know all truth. The conditions in many cases will not be realized, so God must know them apart from any decrees determining their realization. He knows them therefore, this school holds, in seipsis, in themselves as conditionally future events. This knowledge is the scientia media, “middle knowledge”, intermediate between vision of the actual future and simple understanding of the merely possible. Acting now in the light of this scientia media with respect to human volitions, God freely decides according to His own wisdom whether He shall supply the requisite conditions, including His co-operation in the action, or abstain from so doing, and thus render possible or prevent the realization of the event. In other words, the infinite intelligence of God sees clearly what would happen in any conceivable circumstances. He thus knows what the free will of any creature would choose, if supplied with the power of volition or choice and placed in any given circumstances. He nowdecrees to supply the needed conditions, including His corcursus, or to abstain from so doing. He thus holds complete dominion and control over our future free actions, as well as over those of a necessary character. The Molinist then claims to safeguard better man’s freedom by substituting for the decree of an inflexible premotion one of concurrence dependent on God’s prior knowledge of what the free being would choose. If given the power to exert the choice. He argues that he exempts God more clearly from all responsibility for man’s sins. The claim seems to the present writer well founded; at the same time it is only fair to record on the other side that the Thomist urges with considerable force that God’s prescience is not so understandable in this, as in his theory. He maintains, too, that God’s exercise of His absolute dominion over all man’s acts and man’s entire dependence on God’s goodwill are more impressively and more worthily exhibited in the premotion hypothesis. The reader will find an exhaustive treatment of the question in any of the Scholastic textbooks on the subject.