Abstract

P. T. Geach has argued that it is impossible to demonstrate that the doctrine of the Trinity is consistent. I try to show why -- on a common understanding of the notion of consistency -- his reasoning is flawed and why, on Geach’s own principles, one should expect that if the doctrine of the Trinity is true then it will be possible to prove that the doctrine is consistent, and it will be possible to do this in a way that makes no appeal to the truth of any religious doctrine