This chapter explores global debunking arguments, debunking arguments that aim to give one a global defeater. I defend Alvin Plantinga’s view that global defeaters are possible and, once gained, are impossible to escape by reasoning. They thereby must be extinguished by other means: epistemically propitious actions, luck, or grace. I then distinguish between three types of global defeater—pure-undercutters, undercutters-because-rebutters, and undercutters-while-rebutters—and systematically consider how one can deflect such defeaters. Lastly, since I draw insights from the literature on perhaps the most (...) widely discussed global debunking argument in the literature, Plantinga’s evolutionary argument against naturalism, I end up responding to many potential problems for it. This includes the so-called conditionalization problem, as well as those raised by Bergmann (2002), Law (2012), Deem (2018), Hendricks and Anderson (2020), and Wielenberg (in Craig and Wielenberg (2021)). (shrink)

The semantic inferentialist account of the social institution of semantic meaning can be naturally extended to account for social ontology. I argue here that semantic inferentialism provides a framework within which mathematical ontology can be understood as social ontology, and mathematical facts as socially instituted facts. I argue further that the semantic inferentialist framework provides resources to underpin at least some aspects of the objectivity of mathematics, even when the truth of mathematical claims is understood as socially instituted.

Within contemporary philosophy of mind, it is taken for granted that externalist accounts of meaning and mental content are, in principle, orthogonal to the matter of whether cognition itself is bound within the biological brain or whether it can constitutively include parts of the world. Accordingly, Clark and Chalmers (Analysis 58(1):7–19, 1998) distinguish these varieties of externalism as ‘passive’ and ‘active’ respectively. The aim here is to suggest that we should resist the received way of thinking about these dividing lines. (...) With reference to Brandom’s (1994, 2000, Inquiry 47:236–253, 2008) broad semantic inferentialism, we show that a theory of meaning can be at the same time a variety of active externalism. While we grant that supporters of other varieties of content externalism (e.g., Putnam 1975 and Burge (Philosophical Review 95:3–45, 1986) can deny active externalism, this is not an option for semantic inferentialists: On this latter view, the role of the environment (both in its social and natural form) is not ‘passive’ in the sense assumed by the alternative approaches to content externalism. (shrink)