Once we admit the possibility of a connection between mathematics and theology, which must be an instance of the informing relationship between faith and reason, some important questions arise. First, which informs which: Does our faith constrain the mathematical structures we are willing to posit exist? Or, does our understanding of mathematics illuminate and expand our potential comprehension of the Divine (or even demonstrate God's existence)? Is there a mystical secret nature to numbers that could unlock access to Divine knowledge and power? What is the origin and nature of mathematics? Does it exist in the Mind of God? Is God constrained by the laws of Logic? Is mathematics simply an artifact of the structure of the universe? Is mathematics the product of the pure reason of a disembodied human mind? Is mathematics a socio-historical construction held within the collective consciousness or our culture? Is mathematical knowledge conditioned by the limitations of the physical bodies we inhabit?

While answers to these questions are certainly of interest to us, and I will visit some of them in the course of this investigation, the question of immediate regard here is whether there can be a proper role for mathematics in worship.

]]>In this paper I will argue that the problem of explaining specified complexity is even worse than Davies makes out in The Fifth Miracle. Not only have we yet to explain specified complexity at the origin of life, but the Darwinian mechanism fails to explain it for the subsequent history of life as well. To see that the Darwinian mechanism is incapable of generating specified complexity, it is necessary to consider the mathematical underpinnings of that mechanism, to wit, evolutionary algorithms. Roughly speaking, an evolutionary algorithm is any well-defined mathematical procedure that generates contingency via some chance process and then sifts it via some law-like process. The Darwinian mechanism, simulated annealing, training neural nets, and genetic algorithms all fall within this broad construal of evolutionary algorithms.

]]>I would like to share some of the Bible verses and weekly devotionals I have used in my mathematics classes. These can be organized into four main categories: verses about our infinite god, verses about finances, verses about dimensions, and verses about the mind. Hopefully these verses will stimulate your thinking about how you might incorporate Scripture into your mathematics courses as well.

]]>