Christianity; the World's Most Violently Persecuted Religion

[Angrboda]

If omnipotence means no limits, then you cannot then argue that such an omnipotence is limited by the law of noncontradiction.

True, a deity that isn't bound by logic won't have to suffer the consequences of abusing it. However, us mortals are a different matter. Our little lumps of grey matter are still bound to thinking about things that don't explode our heads via logical contradiction. That's why you can't actually envision a square circle, a married bachelor, or a four-sided triangle. The moment that theology conjures something that violates reason it effectively removes it from human knowledge. Such a deity might exist but you'd never be able to understand it in any fashion. It would be much less Biblical and a lot more Lovecraftian.

In the appendix to one of his works, Plato argues that what the gods comprehend, mortals cannot, and vice versa.