By the deductive method as exercised, e.g., by the Greeks, was meant that one begins his investigations with the assumption of the truth and ultimacy of certain axioms, such as, for example, that of causal relation. The question whether these axioms rest in God or in the universe was in that case not considered to be of great importance. Not as though the question was not raised. Plato did consider the question whether God was back of the ideas or whether the ideas were back of God. Yet this question was not given the importance that we give to it. We must put the point more strongly. The question was, in effect, given the wrong answer. It was assumed that the true, the beautiful and the good rest in themselves, and that God is subordinate to them. For us the question is all-important. If the axioms on which science depends are thought of as resting in the universe, the opposite of the Christian position is in effect maintained. The only rationality they know of in the universe is then the mind of man. Hence the alternative may be stated by saying that according to the Christian position, the basis of human investigation is in God, while for the antitheistic position the basis of human investigation is in man.
Similarly with the more modern method of induction. What is meant by induction as a method of science is the gathering of facts without reference to any axioms, in order to find to what these facts may lead us. Many scientists claim this method to be the method of science. But we have already seen that the usual assumption underlying this method is the antitheistic one, that there may be any kind of fact. Hence the difference between the prevalent method of science and the method of Christianity is not that the former is interested in finding the facts and is ready to follow the facts wherever they may lead, while the latter is not ready to follow the facts. The difference is rather that the former wants to study the facts without God, while the latter wants to study the facts in the light of the revelation God gives of himself in Christ. Thus the antithesis is once more that between those for whom the final center of reference in knowledge lies in man, and those for whom the final center of reference for knowledge lies in God, as this God speaks in Scripture.
Accordingly, we pay scant attention to the historic quarrel between the apostles of deduction and the apostles of induction. Our quarrel is not with either of them in particular but with both of them in general.
– Cornelius Van Til, A Survey of Christian Epistemology p.8-9