Philosopher Stephen Toulmin is notable for his work in the history of ideas that features the (rational) warrant: a statement that connects the premises to a conclusion. Joseph Hinman applied Toulmin’s approach in his argument for the existence of God, particularly in his book The Trace of God: A Rational Warrant for Belief. Instead of attempting to prove the existence of God, Hinman argues you can "demonstrate the rationally warranted nature of belief".
Hinman uses a wide range of studies, including ones by Robert Wuthnow, Andrew Greeley, Mathes and Kathleen Nobel to establish that mystical experiences are life-transformative in a way that is significant, positive and lasting.
He draws on additional work to add several additional major points to his argument. First, the people who have these experiences not only do not exhibit traditional signs of mental illness but, often, are in better mental and physical health than the general population due to the experience. Second, the experiences work. In other words, they provide a framework for navigating life that is useful and effective. All of the evidence of the positive effect’s of the experience upon people’s lives he, adapting a term from Derrida, terms "the trace of God": the footprints left behind that point to the impact.
Finally, he discusses how both religious experience and belief in God is, and has always been, normative among humans: people do not need to prove the existence of God. If there is no need to prove, Hinman argues, and the Trace of God (for instance, the impact of mystical experiences on them), belief in God is rationally warranted.