I have been following the work of James Anderson from Reformed Theological Seminary, partly because we share an interest in the writings of Cornelius Van Til. He and Greg Welty have composed a particularly elegant argument for the existence of God entitled “The Lord of Non-Contradiction.” The argument runs as follows:
The laws of logic are necessary truths about truths; they are necessarily true propositions. Propositions are real entities, but cannot be physical entities; they are essentially thoughts. So the laws of logic are necessarily true thoughts. Since they are true in every possible world, they must exist in every possible world. But if there are necessarily existent thoughts, there must be a necessarily existent mind; and if there is a necessarily existent mind, there must be a necessarily existent person. A necessarily existent person must be spiritual in nature, because no physical entity exists necessarily. Thus, if there are laws of logic, there must also be a necessarily existent, personal, spiritual being. The laws of logic imply the existence of God.
I find the argument convincing and invite you to have a look at it here.