 Note that these sorts of probabilistic methods contain plenty of purely deductive reasoning. Indeed, in the second example, the fact that the probability of N being prime is .99 is established purely deductively. Nonetheless, there is general consensus in the mathematical community that such methods are not acceptable substitutes for deductive proof of the conclusion. Fallis (1997, 2002) argues that this rejection is not reasonable because any property of probabilistic methods that can be pointed to as being problematic is shared by some proofs that the mathematical community does accept. Fallis’s focus is on establishing truth as the key epistemic goal of mathematics. However it seems plausible that one major reason for mathematicians’ dissatisfaction with probabilistic methods is that they do not explain why their conclusions are true. In addition, Easwaran argues, against Fallis, that there is a property, which he terms ‘transferability’, that probabilistic proofs lack and acceptable proofs have (Easwaran 2009; Jackson 2009). Fallis (2011) is a reply to some of these objections.