In the Treatise of Human Nature, David Hume mounts a spirited assault on the doctrine of the infinite divisibility of extension, and he defends in its place the contrary claim that extension is everywhere only finitely divisible. Despite this major departure from the more conventional conceptions of space embodied in traditional geometry, Hume does not endorse any radical reform of geometry. Instead Hume espouses a more conservative approach, claiming that geometry fails only “in this single point” – in its purported (...) proofs of infinite divisibility – while “all of its other arguments” remain intact. -/- In this paper, after laying out the prima facie case for Hume’s radical challenge to traditional geometry, I consider five strategies for blocking the arguments for infinite divisibility while conserving most of geometry. I show that each of these interpretive strategies suffers from serious substantive problems, and so none of them delivers an interpretation of Hume’s account that provides him with a way of blocking the geometric arguments for infinite divisibility while sustaining his geometric conservatism. (shrink)

I argue that the Hume of the Treatise maintains an account of knowledge according to which (i) every instance of knowledge must be an immediately present perception (i.e., an impression or an idea); (ii) an object of this perception must be a token of a knowable relation; (iii) this token knowable relation must have parts of the instance of knowledge as relata (i.e., the same perception that has it as an object); and any perception that satisfies (i)-(iii) is an instance (...) of knowledge. I then apply this account to the case of sense perception. I argue that Hume holds that relations of impressions can be intuited, are knowable, and are necessary. For Hume, these relations constitute sensory knowledge. While Hume is rightly labeled an empiricist for many reasons, a close inspection of his account of knowledge reveals yet another way in which he deserves the label. (shrink)

in the treatise, hume claims to identify many “fictions of the imagination” among both “vulgar” and philosophical beliefs. To name just a few, these include the fiction of one aggregate composed of many parts,1 the fiction of a material object’s identity through change, and the fiction of a human mind’s identity through change and interruption in its existence. Hume claims that these fictions and others like them are somehow defective: in his words, they are “improper,” “inexact,” or not “strict”. I (...) will argue that this claim conflicts with other commitments.. (shrink)

On its face, Hume's account of mental representation involves at least two elements. On the one hand, Hume often seems to write as though the representational properties of an idea are fixed solely by what it is a copy or image of. But, on the other, Hume's treatment of abstract ideas makes it clear that the representational properties of a Humean idea sometimes depend, not just on what it is copied from, but also on the manner in which the mind (...) associates it with other ideas. Past interpretations of Hume have tended to focus on one of these elements of his account to the neglect of the other. But no interpretation of this sort is likely to capture the role that both copying and association play within Hume's discussion. In what follows, I argue that the most plausible way of understanding Hume's discussion involves attributing to him a unified account of mental representation in which both of these elements play a central role. I close by discussing the manner in which reading Hume in this way would alter our understanding of the relationship between Hume's thought and contemporary philosophy of mind. (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)

In this paper, I will make the case that an associative account of predication in Hume seems to allow for impossible predicative conceptions—that is, the conceiving of impossible states of affairs involving subjects instantiating properties or qualities—which violate his Conceivability Principle. The natural response is to argue that such conceptions are not clear and distinct, but substantive worries are raised about a number of attempted solutions along these lines. This poses a predicament for Hume scholars: either we must modify or (...) abandon the Conceivability Principle, or reject an associative account of predication, or concede that Hume faces a difficulty he cannot solve. (shrink)