Is the Hypostatic Union a contradiction?

The law of noncontradictions states that two contradictory positions cannot be true at the same time in the same sense (e. g. the two propositions "p is the case" and "p is not the case" are mutually exclusive.) But the propositions "Christ is God" and "Christ is human" are both true according to Christian theology, meaning "p is the case (Christ is God)" and "p is not the case (Christ is human)" would not be mutually exclusive. Is it thus contradictory to claim that Christ was both fully man and fully God at the same time? If not, why? Sources for further reading would be greatly appreciated!