  The second interpretation focuses on Skolem's claim that set theory cannot provide an adequate foundation for mathematics. In particular, Skolem thinks that set theory lacks the resources to provide a foundation for ordinary arithmetic—on his view, arithmetic is “clear, natural and not open to question,” while set theory itself is far more problematic. To show that set theory is problematic, Skolem runs through a number of different ways of interpreting set theory—naive set theory, axiomatized set theory construed proof-theoretically, axiomatized set theory construed algebraically, etc.—and he argues that each of these understandings of set theory is inadequate for foundational purposes. On this reading, then, Skolem's Paradox plays only a modest role in Skolem's overall argument. It serves to highlight some problems with one particular conception of set theory (the algebraic conception), but it plays no role in Skolem's arguments against other conceptions of set theory. Further, these other arguments do not show—or even purport to show—that the various non-algebraic conceptions of set theory lead to any kind of relativity (although they do, of course, have other problems which render them unsuitable for foundationalist  purposes).[35] Versions of this foundationalist reading of Skolem's paper can be found in George 1985 and Benacerraf 1985; see Jané 2001 for some criticisms of this line of interpretation.