Yes, of course. So to go back to the original point of the question.
If we are reasoning in a non-Euclidian system, where a square and circle are not mutually exclusive, the question "Can God make a square circle?" is meaningful.
If we are reasoning in a Euclidean system, the question "Can God make a square circle?" is meaningless.
If we are reasoning in a system with an omnipotent deity, (which we need to be doing to show a contradiction in such a system), the phrase "a rock so big God can't lift" is similarly meaningless.
Re: This year's CICCU Main Event - DIRECTION
If we are reasoning in a non-Euclidian system, where a square and circle are not mutually exclusive, the question "Can God make a square circle?" is meaningful.
If we are reasoning in a Euclidean system, the question "Can God make a square circle?" is meaningless.
If we are reasoning in a system with an omnipotent deity, (which we need to be doing to show a contradiction in such a system), the phrase "a rock so big God can't lift" is similarly meaningless.