I argue that we need not accept Quine's holistic conception of mathematics and empirical science. Specifically, I argue that we should reject Quine's holism for two reasons. One, his argument for this position fails to appreciate that the revision of the mathematics employed in scientific theories is often related to an expansion of the possibilities of describing the empirical world, and that this reveals that mathematics serves as a kind of rational framework for empirical theorizing. Two, this holistic conception does (...) not clearly demarcate pure mathematics from applied mathematics. In arguing against Quine, I present a formal account of applied mathematics in which the mathematics employed in an empirical theory plays a role that is analogous to the epistemological role Kant assigned synthetic a priori propositions. According to this account, it is possible to insulate pure mathematics from empirical falsification, and there is a sense in which applied mathematics can also be labeled as a priori. (shrink)

This paper takes as its starting point the observation of quasi-religious, ‘cultural’ characteristics in the dominant discourse of Western liberal democracy, and of ‘ideological’ characteristics in the discourse of Islamism – noting that both discourses rely, to some extent, upon the notion of rationality. Having provided working definitions of rationality, ideology, and culture, it goes on to argue that culture and ideology may be viewed as discursive macro-strategies which are related to the degree of power enjoyed by a given social (...) system at particular historical moments in time: the former being associated with the consolidation of established power and the latter with a bid to acquire power. It suggests that the general function of cultural and ideological strategies is to mask the underlying irrationalities of free-market democracy and Islamism, respectively, and concludes by considering some of the implications of this view in the context of globalization and the ‘war on terror’. (shrink)