The infinities of God

It is common to say that God is infinite or that his attributes are infinite. He has infinite knowledge and infinite strength.

The problem with this is that actual as opposed to ideal infinities do not exist in the material. It is not apparent to us that infinities can actual exist in God.

There are also things God cannot do by virtue of them being illogical, against his nature, or definitionally irrelevant to God.

It seems preferable to say that God has no limits, which does not seem to mean the same as God is infinite (other than metaphorically).

For example, there may not be a limit on the size of the universe (assuming no logical problems with this) God could choose to create, at the same time it also be impossible for God to make an infinite universe.