 So there are several different objections to fictionalism out there, but fictionalists have responses to all of them, and it is not at all obvious that any of the objections succeeds in refuting fictionalism. Thus, at the present time, it seems at least prima facie plausible to suppose that fictionalism can be defended. On the other hand, if the claims of section 1 are correct, then fictionalists do not have a compelling positive argument in favor of their view. The arguments of sections 1.2–1.4 suggest that there are good reasons for rejecting the various anti-platonistic alternatives to fictionalism and, hence, for thinking that platonism and fictionalism are the two best views of mathematics, but there does not seem to be any good argument for favoring fictionalism over platonism or vice versa. Now, most fictionalists would probably say—and some have said (see, e.g., Leng, 2010)—that this situation itself already gives us a good reason to favor fictionalism over platonism. For if we take the claim that there is no good positive argument for platonism and we combine it with Ockham’s razor (i.e., the principle that tells us that if two theories account for all the same facts, then, ceteris parabis, we ought to endorse the more ontologically parsimonious of the two), then we seem to be led to the result that fictionalism is superior to platonism. It should be noted, however, that this argument is explicitly rejected by at least two of the defenders of fictionalism discussed above. Rosen (see, e.g., Burgess and Rosen, 1997) doubts that there is any good reason to accept Ockham’s razor, and Balaguer (1998a) argues that even if we accept it, there are reasons to think that it is not applicable in the present case. Thus, Rosen and Balaguer both think that, at present, we do not have any good reason to endorse platonism or fictionalism. Moreover, as was noted in section 1.3, Bueno (2009) thinks fictionalists should be agnostic about the existence of abstract objects; this seems to be more or less equivalent to Rosen’s view; Balaguer’s view is a bit different because he actually thinks that there’s no fact of the matter whether abstract objects exist. 