The Argument from Collections
Very broadly, an argument from collections is an argument that purports to show that our beliefs about sets imply—in some sense—the existence of God. Plantinga (2007) first sketched such an argument in “Two Dozen” and filled it out somewhat in his 2011 monograph Where the Conflict Really Lies: Religion, Science, and Naturalism. This chapter reconstructs what strikes the author as the most plausible version of Plantinga’s argument. While it is a good argument in at least a fairly weak sense, it doesn’t initially appear to have any explanatory advantages over a non-theistic understanding of sets—what the author calls set theoretic realism. However, the author goes on to argue that the theist can avoid an important dilemma faced by the realist and, hence, that Plantinga’s argument from collections has explanatory advantages that realism does not have.