Two pairs of claims. First:
1.) The nature of the created world is what the divine plan fundamentally intended it to be
1a.) The divine plan is fundamentally historical.
(for a fuller account of this idea, watch this series of videos)
2.) If there is an omnipotent being, then anything logically possible in the world is really possible.
2a.) God is omnipotent.
(for a fuller account, read the article on p. 47 here, or Descartes’s Meditations)
Both claims point to the truth of nominalism, though (obviously) all the details are not spelled out. The first argues that the nature of things is historical – i.e. that nature is not primarily “essence” understood as a changeless, definable-once-and-for all reality. The second denies the necessary truth that Aristotelian science would lay claim to and replaces it with mere facts (i.e. things that, ultimately, God just happens to do but could have done otherwise.)
Both pairs of claims are recognizably Christian, and so Nominalism can be seen as Christian philosophy.