In Metaepistemology and Skepticism (Rowman & Littlefield:\n1995), Richard Fumerton defends foundationalism. As part of\nthe defense he rejects infinitism--the view that holds that\nthe solution to the problem of the regress of justificatory\nreasons is that the reasons are infinitely many and\nnonrepeating. I examine some of those arguments and attempt\nto show that they are not really telling against (at least\nsome versions of) infinitism. Along the way I present some\nobjections to his account of inferential justification.