A fifth question is, Whether the objects of faith may be above, and yet not contrary to reason? The answer to this question is to be in the affirmative, for the distinction implied is sound and almost universally admitted. What is above reason is simply incomprehensible. What is against reason is impossible. It is contrary to reason that contradictions should be true; that a part should be greater than the whole; that a thing should be and not be at the same time; that right should be wrong and wrong right. It is incomprehensible how matter attracts matter; how the mind acts on the body, and the body on the mind. … The great body of Christian theologians have ever taken the ground that the doctrines of the Bible are not contrary to reason, although above it. (Charles Hodge, Systematic Theology, 3:81)
While, therefore, the objects of faith as revealed in the Bible are not truths of the reason, i.e., which the human reason can discover, or comprehend, or demonstrate, they are, nevertheless, perfectly consistent with reason. They involve no contradictions or absurdities; nothing impossible, nothing inconsistent with the intuitions either of the intellect or of the conscience; nothing inconsistent with any well established truth, whether of the external world or of the world of mind. On the contrary, the contents of the Bible, so far as they relate to things within the legitimate domain of human knowledge, are found to be consistent, and must be consistent, with all we certainly know from other sources than a divine revelation. … (3:82)
For Hodge, theological truths can be above reason, but never against reason, and he uses examples of logical contradictions as examples of what constitutes being "against reason."