 Balaguer and Linsky &amp; Zalta then argue that if platonists endorse plenitudinous platonism, they can solve the epistemological problem with platonism without positing any sort of information-transferring contact between human beings and abstract objects. Balaguer's version of the argument proceeds as follows. Since plenitudinous platonism, or FBP, says that there are mathematical objects of all possible kinds, it follows that if FBP is true, then every purely mathematical theory that could possibly be true (i.e., that's internally consistent) accurately describes some collection of actually existing mathematical objects. Thus, it follows from FBP that in order to attain knowledge of abstract mathematical objects, all we have to do is come up with an internally consistent purely mathematical theory (and know that it is consistent). But it seems clear that (i) we humans are capable of formulating internally consistent mathematical theories (and of knowing that they are internally consistent), and (ii) being able to do this does not require us to have any sort of information-transferring contact with the abstract objects that the theories in question are about. Thus, if this is right, then the epistemological problem with platonism has been solved.