Mathematics for Hume is the exemplary field of demonstrative knowledge. Ideally, this knowledge is a priori as it arises only from the comparison of ideas without any further empirical input; it is certain because demonstration consist of steps that are intuitively evident and infallible; and it is also necessary because the possibility of its falsity is inconceivable as it would imply a contradiction. But this is only the ideal, because demonstrative sciences are human enterprises and as such they are just (...) as fallible as their human practitioners. According to the reading suggested here, Hume develops a radical sceptical challenge for mathematics, and thereby he undermines the knowledge claims associated with demonstrative reasoning. But Hume does not stop there: he also offers resources for a sceptical solution to this challenge, one that appeals crucially to social practices, and sketches the social genealogy of a community-wide mathematical certainty. While explaining this process, he relies on the conceptual resources of his faculty psychology that helps him to distinguish between the metaphysics and practices of mathematical knowledge. His account explains why we have reasons to be dubious about our reasoning capacities, and also how human nature and sociability offers some remedy from these epistemic adversities. (shrink)

In his brief treatment of memory, Hume characterizes memory using two kinds of criteria: ideas’ phenomenal character and their correspondence to the past experiences from which they derived. These criteria have seemed so perplexing to interpreters, both individually and jointly, that Hume’s account of memory is commonly considered one of the weakest parts of his philosophical system. This paper defends Hume’s criteria by showing that they achieve two theoretical aims: a scientific classification of ideas and a definition of ‘memory.’ In (...) particular, I argue that Hume’s definition of ‘memory’ is cogent in light of Putnamian considerations about definitions. (shrink)

This thesis investigates Hume’s philosophy of external existence in relation to, and within the context of, his philosophy of scepticism. In his two main works on metaphysics – A Treatise of Human Nature (1739–40) and the first Enquiry (first ed. 1748) – Hume encounters a predicament pertaining to the unreflective, ‘vulgar’ attribution of external existence to mental perceptions and the ‘philosophical’ distinction between perceptions and objects. I argue that we should understand this predicament as follows: the vulgar opinion is our (...) natural and default belief for Hume, but causal reasoning reveals it to be false, and the philosophical alternative is a confabulation that we cannot permanently believe and is devoid of justification. Hume uses the fact that we cannot have a satisfactory account of belief in external existence as a sceptical consideration to motivate his wider philosophical scepticism. Hume’s response to his predicament about external existence is found in the context of his confrontation with other sceptical worries (Treatise 1.4.7 and Enquiry 12), in which Hume also reflects generally on the nature and implications of scepticism. I argue that we should characterise Hume’s position as residually sceptical. This means that, while Hume accepts the unanswerability of some sceptical problems, he denies that it is possible to eradicate all belief as a result (and denies that it is practically useful to even try) and instead uses sceptical problems as a motivation to adopt a moderately sceptical position. While we inevitably return to entertaining the vulgar belief, there is no solution to the sceptical predicament; Hume does not endorse the vulgar belief, or the philosophical system, or indeed any alternative system of the external world that might extinguish the predicament. Sceptical doubt, for Hume, does not derail intellectual pursuits, but rather modifies our attitudes in those very pursuits. (shrink)

Hume presents two definitions of cause in his \textit{Enquiry} which correspond to his two definitions in his \textit{Treatise}. The first of the definitions is ontological and the second is psychological; indeed, the definitions are extensionally and intensionally distinct. The critical mistake of the skeptical interpretation is the assumption that the two definitions are equivalent, and the critical mistake of the necessitarian is the assumption an association of ideas can be had from one experiment. This paper attempts to clarify Hume's finally (...) considered position of causality. (shrink)