This paper contends that the first argument of Hume's "Of scepticism with regard to reason" entails that humans have no knowledge as Hume understands knowledge. In defending this claim, we also see how Hume's argument anticipates an important aspect of an extremely influential 20th century development: the collapse of the analytic/synthetic distinction.

Experimental natural philosophy was a mid-seventeenth-century development in which physical enquiry proceeded by connecting phenomena in an experimentally guided fashion, as opposed to attempting to account for them in terms of some underlying micro-corpuscular structure. The approach proved fruitful in two areas: Boyle’s experiments on the air pump and Newton’s experiments on the prism. This chapter argues that Lockean empiricism, which was subsequently taken to embody the principles behind Newtonianism, was an outcome of these developments and that it was worked (...) into an epistemological doctrine only when Locke encountered Malebranche’s vindication of the sole legitimacy of micro-corpuscularian explanation. The chapter reveals a form of empiricism—empiricism as a successor to, and refinement of, seventeenth-century experimental natural philosophy—which is intimately tied up with natural-philosophical practice, and is quite distinct from the speculative epistemology to which it is reduced in the rationalism and empiricism debates. (shrink)

Given the sharp distinction that follows from Hume’s Fork, the proper epistemic status of propositions of mixed mathematics seems to be a mystery. On the one hand, mathematical propositions concern the relation of ideas. They are intuitive and demonstratively certain. On the other hand, propositions of mixed mathematics, such as in Hume’s own example, the law of conservation of momentum, are also matter of fact propositions. They concern causal relations between species of objects, and, in this sense, they are not (...) intuitive or demonstratively certain, but probable or provable. In this article, I argue that the epistemic status of propositions of mixed mathematics is that of matters of fact. I wish to show that their epistemic status is not a mystery. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle, unlike the propositions of pure mathematics. (shrink)

The main aim of this paper is to explore why it is so important for Hume to defi ne ‘cause’ as he does. This will shed light on the signifi cance of the natural/philosophical relation (hereafter NPR) distinction in the Treatise. Hume's use of the NPR distinction allows him to dismiss on general grounds conceptions of causation at odds with his own. In particular, it allows him to avoid having to engage in detailed re-interpretation of potentially confl icting theories formulated (...) by natural philosophers. Moreover, it provides an instance of the normative nature of Hume's “science of man.” The paper argues that the NPR distinction - in conjunction with the so-called copy principle - is meant to undercut appeals to the authority of theories not founded on Hume's “principles.” In order to illustrate its claims about Hume, this essay explores some aspects of Newton's natural philosophy. Finally, this paper resolves a long-standing interpretive problem: how to reconcile Hume's two “defi nitions” of causation in the Treatise. (shrink)

Hume's two definitions of causation have caused an extraordinary amount of controversy. The starting point for the controversy is the fact, well known to most philosophy undergraduates, that the two definitions aren't even extensionally equivalent, let alone semantically equivalent. So how can they both be definitions? One response to this problem has been to argue that Hume intends only the first as a genuine definition—an interpretation that delivers a straightforward regularity interpretation of Hume on causation. By many commentators' lights, however, (...) this is a bug rather than a feature: such an account of the two definitions leaves necessary connection out of Hume's story about the meaning of "cause" .. (shrink)

So considered, Hume is viewed as a naturalist, whose project in the first three parts of the first book of the Treatise is to provide an account of the ...

In the Introduction to the Treatise Hume very enthusiastically announces his project to provide a secure and solid foundation for the sciences by grounding them on his science of man. And Hume indicates in the Abstract that he carries out this project in the Treatise. But most interpreters do not believe that Hume's project comes to fruition. In this paper, I offer a general reading of what I call Hume's ‘foundational project’ in the Treatise, but I focus especially on Book (...) 1. I argue that in Book 1 much of Hume's logic is put in the service of the other sciences, in particular, mathematics and natural philosophy. I concentrate on Hume's negative thesis that many of the ideas central to the sciences are ideas that we cannot form. For Hume, this negative thesis has implications for the sciences, as many of the texts I discuss make evident. I consider and criticize different proposals for understanding these implications: the Criterion of Meaning and the ‘Inconceivability Principle’. I introduce what I call Hume's ‘No Reason to Believe’ Principle, which I argue captures more adequately the link Hume envisions between his logic, in particular his examination of ideas, and the other sciences. (shrink)

Since the 1950s, Terence Penelhum has been a leading contributor to studies on the thought of David Hume. In this collection, he presents a selection of the best of his essays on Hume. Most of the essays are quite recent and three are previously unpublished.

It has been argued that there is a genuine conflict between the views of geometry defended by Hume in the Treatise and in the Enquiry: while the former work attributes to geometry a different status from that of arithmetic and algebra, the latter attempts to restore its status as an exact and certain science. A closer reading of Hume shows that, in fact, there is no conflict between the two works with respect to geometry. The key to understanding Hume's view (...) of geometry is the distinction he draws between two standards of equality in extension. (shrink)