ABSTRACTIt is only in the last 30 years that any appreciable work has been done on women philosophers of the past. This paper reflects on the progress that has been made in recovering early-modern...

_ Source: _Volume 8, Issue 3, pp 198 - 207 The paper discusses and presents an alternative interpretation to Penelope Maddy’s reading of G.E. Moore’s and Ludwig Wittgenstein’s anti-skeptical strategies as proposed in her book _What Do Philosophers Do? Skepticism and the Practice of Philosophy_. It connects this discussion with the methodological claims Maddy puts forward and offers an alternative to her therapeutic reading of Wittgenstein’s _On Certainty_.

In this paper I argue that, contrary to what several prominent scholars of On Certainty have claimed, Wittgenstein did not maintain that simple mathematical propositions like “2 × 2 = 4” or “12 × 12 = 144,” much like G. E. Moore’s truisms, could be examples of hinge propositions. In particular, given his overall conception of mathematics, it was impossible for him to single out these simpler mathematical propositions from the rest of mathematical statements, to reserve only to them a (...) normative function. I then maintain that these mathematical examples were introduced merely as objects of comparison to bring out some peculiar features of the only hinges he countenanced in On Certainty, which were all outside the realm of mathematics. I then close by gesturing at how the distinction between mathematical hinges and non-hinges could be exemplified and by exploring its consequences with respect to philosophy of mathematics. (shrink)