Reprinted in Philosophical and Theological Essays on the Trinity, Oxford, 2009, eds Michael Rea and Thomas McCall. In this essay, I assess a certain version of ’social Trinitarianism’ put forward by J. P. Moreland and William Lane Craig, ’trinity monotheism’. I first show how their response to a familiar anti-Trinitarian argument arguably implies polytheism. I then show how they invoke three tenets central to their trinity monotheism in order to avoid that implication. After displaying these tenets more fully, I argue (...) that Trinitarians would do well to hold Moreland’s and Craig’s trinity monotheism at arms length. (shrink)