Dr. Craig is a liar.

[SteveII]

I believe logic, mathematics, and abstract objects (like numbers) are not physical objects and are not a result of the physical universe.  I am not a Platonist and do not think that they are real things that exist necessarily. However, where did they come from? Would they exist in all possible worlds? On theism, it is not logical that these things exist separate from God's existence. So I believe they are properly based in the mind/nature of God, which would give them concrete meaning and applicability. 

Based in the mind/nature of god, and yet somehow unbridgeable by the same god?  This isn't actually the position of theism or "in theism", just your position.  What rational justification is there for this claimed attribute?    Can't we both agree that regardless of the existence of a god..logic, mathematics, and abstract objects exist?  That seems, to me, to be a bare minimum level of agreement for any confidence that you and I live in the same world.  

Related to the question why God cannot do logically impossible things, God would not be able to do things contrary to his nature. Even further, constructing a sentence that has logical impossibilities like a round square or married bachelor are just a grouping of contradictory words and not really a thing to consider. In the same way, can God count to infinity and lift that rock are not really coherent questions.

Why is it that god cannot do things contrary to it's nature?  What prevents that from happening?  Saying ""it wouldn't be able to" does not answer the question raised...which is -why- it cannot do these things, -why- it "wouldn't be able to".  With this response you've merely restated the initial claim.  I saw it the first time, I was hoping for an explanation.  For example, how it is that logic constrains this god (which we both agree that it does, somehow).  How did it come to pass that the author of the universe became subject to the rules of it's own creation?

When I said these things are part of God's mind/nature I meant it was an intrinsic property and not a created or invented concept. It seems to me that God's mind has to be ordered according to some principles.