Molinism is a system of thought seeking to explain and reconcile the sovereignty of God and the free will of man. Molinism, while at first a tad bit difficult to understand, is the most attractive view of the four main views of divine providence and it's very easy to see why. Rather than saying God's foreknowledge of man is a mystery, Molinism tackles the mystery and gives us the best answer possible.
I do not hold to one particular view on predestination or divine providence, rather I tell people about the best work on the subject and let them judge for themselves. Arminianism does not convince me at all nor does radical\hyper Calvinism (I hate to put his name on that view), but the two that are most convincing to me are the Reformed view and Molinism. How can that be? Well, where the Reformed view is quiet, the Molinist view is loud.
The founder of Molinism is Luis de Molina and today's most ardent defender of Molina's work is William Lane Craig.
Further Reading:
Wikipedia, Molinism
William Lane Craig, "Molinism and Romans 9."
Reasonable Faith Podcast, Four Views on Divine Providence
William Lane Craig's articles on Molinism and middle knowledge
Greg Koukl, What do you think of Molinism?
The Providence of God by R.C. Sproul Questions on Middle Knowledge
Middle Knowledge and Free Will
Middle Knowledge and Christian Particularism
Misconceptions about Middle Knowledge
Middle Knowledge and Divine Election
Middle Knowledge and Hell
