Hume’s discussion of space in the Treatise addresses two main topics: divisibility and vacuum. It is widely recognized that his discussion of divisibility contains an answer to Bayle, whose Dictionary article “Zeno of Elea” presents arguments about divisibility as support for fideism. It is not so widely recognized that, elsewhere in the same article, Bayle presents arguments about vacuum as further support for fideism. This paper aims to show that Hume’s discussion of vacuum contains an answer to these vacuum-based fideistic (...) arguments. Key to this answer is a distinction between two ways in which vacuum was conceived in the early modern period: i) as a genuine thing that has spatial properties, and yet is immobile, indivisible, and penetrable ; ii) as a mere absence of spatial things. This paper also aims to provide a novel defense of Hume against the long-standing objection that he is inconsistent in denying that we can conceive of a vacuum, while allowing that we can conceive of “invisible and intangible distance.” As I interpret him, Hume consistently denies that we can conceive of a positive vacuum, while allowing that we can conceive of two or more objects’ being arranged so as to have privative vacuum between them. (shrink)

This essay gives a new interpretation of Hume's second thoughts about minds in the Appendix, based on a new interpretation of his view of composition. In Book 1 of the Treatise, Hume argued that, as far as we can conceive it, a mind is a whole composed by all its perceptions. But—this essay argues—he also held that several perceptions form a whole only if the mind to which they belong supplies a “connexion” among them. In order to do so, it (...) must contain a further perception or perceptions. But when the perceptions in question are all of those belonging to a given mind—as in the section “Of personal identity” and the Appendix—there cannot be a further perception in that mind, and so those perceptions do not form a whole. Hence, Hume's views were inconsistent. This essay argues that, unlike most others, this interpretation explains his retreat to skepticism in the Appendix. (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)