Yes dear r9etb. But to say as much is not to say that God's choices are determined by mathematics and/or logic.
Which I daresay Penrose suggests or at least what this article represents his statements as saying....
Thanks so very much for writing, dear r9etb!
But why not? Or, more to the point, why should you draw such a distinction between God on the one and, and math/logic on the other?
What if math and logic are not just things that God invented for our use, but are instead certain manifestations of God's very nature? Wouldn't one expect a universe created by God, to reflect how God is, and how He does things?
Or, in short, wouldn't we expect God to be true to His own nature?
In that case it's not a matter of being "subject" to anything -- it's just the way things are, if your name happens to be "I AM."