At least since Augustine, and arguably in the book of Proverbs and the Gospel of John, theists have thought it a natural to expect that if God exists, then we'd expect there to be exceptionless laws of logic that are necessary truths, which in turn are grounded in the mind of God. This expectation also seems to be a straightforward implication of the widely-held aseity-sovereignty doctrine, according to which (i) God is an absolutely independent being, dependent upon/derivative of nothing and (ii) everything distinct from God depends upon her for their existence. However, there are counterexamples to basic logical laws of deductive inference, such as modus ponens and modus tollens. Therefore, to the extent that laws of logic would provide at least some confirming evidence for theism, evidence against such laws is thereby at least some disconfirming evidence against theism.
