Critical Notice: Paul Russell's The Riddle of Hume's Treatise: Skepticism,Naturalism, and Irreligion (OUP 2008)

In The Riddle of Hume's Treatise: Skepticism, Naturalism, and Irreligion (2008), Paul Russell makes a strong case for the claim that “The primary aim of Hume's series of skeptical arguments, as developed and distributed throughout the Treatise, is to discredit the doctrines and dogmas of Christian philosophy and theology with a view toward redirecting our philosophical investigations to areas of ‘common life,’ with the particular aim of advancing ‘the science of man’” (2008, 290). Understanding Hume in this way, according to Russell, sheds light on the “ultimate riddle” of the Treatise: “is it possible to reconcile Hume's (extreme) skeptical principles and conclusions with his aim to advance the ‘science of man’” (2008, 3)? Or does Hume's skepticism undermine his “secular, scientific account of the foundations of moral life in human nature” (290)? Russell's controversial thesis is that “the irreligious nature of Hume's fundamental intentions in the Treatise” is essential to solving the riddle (11). Russell makes a compelling case for Hume's irreligion as well as his atheism. Contrary to this interpretation I argue that Hume is an irreligious theist and not an atheist.     

Sense data and logical relations: Karin Costelloe-Stephen and Russell’s critique of Bergson

ABSTRACT

Though scholarship has explored Karin Costelloe-Stephen’s contributions to the history of psychoanalysis, as well as her relations to the Bloomsbury Group, her philosophical work has been almost completely ignored. This paper will examine her debate with Bertrand Russell over his criticism of Bergson. Costelloe-Stephen had employed the terminology of early analytic philosophy in presenting a number of arguments in defence of Bergson’s views. Costelloe-Stephen would object, among other things, to Russell’s use of an experiment which, as she points out, was first conducted by Carl Stumpf. Russell appeals to Stumpf's experiment in his attempt to prove that sense data are terms in logical relations, a thesis presupposed by the project of logical analysis outlined in Our Knowledge of the External World. A reformulated version of Costelloe-Stephen's argument put forth by this paper shows that Russell's argument fails to provide adequate proof for his thesis. Further modifications of the argument can also address a reconstruction (based on contemporary reports) of Russell's reply to Costelloe-Stephen. In his reply, Russell would use, already in 1914, the term ‘analytic philosophy’ in contrasting his and Moore’s approach to a continental one, exemplified by Bergson and Costelloe-Stephen.     

Russell on specific and universal relations: the principles of mathematics, §55

In this paper we consider the arguments Russell uses in The principies of mathematics, §55 to establish the view that all relations are universals. These arguments are shown to be defective. Finally, we consider the connection between Russell's view of relations and wider aspects of his philosophy—in particular, his theories of reference and truth and the gradual break-down of his absolute realism.     

On Russell's vulnerability to Russell's paradox

Influenced by G. E. Moore, Russell broke with Idealism towards the end of 1898; but in later years he characterized his meeting Peano in August 1900 as ‘the most important event’ in ‘the most important year in my intellectual life’. While Russell discovered his paradox during his post-Peano period, the question arises whether he was already committed, during his pre-Peano Moorean period, to assumptions from which his paradox may be derived. Peter Hylton has argued that the pre-Peano Russell was thus vulnerable to (at least one version of) Russell's paradox and hence that the paradox exposes a pre-existing difficulty in Russell's Moorean philosophy. Contrary to Hylton, I argue that the Moorean Russell adhered to views which insulated him against the paradox. Further, I argue that Russell became vulnerable to his paradox as a result of changes in his Moorean position occasioned, first, by his acceptance of Cantor's theory of the transfinite, and, second, by his correspondence with Frege. I conclude with some general comments regarding Russell's acceptance of naïve set theory.     

Hume on presentation and philosophy

Most philosophers agree that an argument's presentation is relevant to its philosophical merit. This paper explains why David Hume considered presentation philosophically important. On Hume's epistemology, presentation is closely connected with two principal aims of philosophical arguments: persuasion and epistemic justification. Hume's views imply that presentation is a factor determining an argument's persuasiveness and that, by philosophical standards of justification, presentation is also a factor determining the extent to which an argument's conclusion is justified.     

The truth and nothing but the truth,yet never the whole truth: Frege,Russell and the analysis of unities

It is widely assumed that Russell's problems with the unity of the proposition were recurring and insoluble within the framework of the logical theory of his Principles of Mathematics. By contrast, Frege's functional analysis of thoughts (grounded in a type-theoretic distinction between concepts and objects) is commonly assumed to provide a solution to the problem or, at least, a means of avoiding the difficulty altogether. The Fregean solution is unavailable to Russell because of his commitment to the thesis that there is only one ultimate ontological category. This, combined with Russell's reification of propositions, ensures that he must hold concepts and objects to be of the same logical and ontological type. In this paper I argue that, while Frege's treatment of the unity of the proposition has immediate advantages over Russell's, a deeper consideration of the philosophical underpinnings and metaphysical consequences of the two approaches reveals that Frege's supposed solution is, in fact, far from satisfactory. Russell's repudiation of the Fregean position in the Principles is, I contend, convincing and Russell's own position, despite its problems, conforms to a greater extent than Frege's with common sense and, furthermore, with certain ideas which are central to our understanding of the origins of the analytical tradition.     

On Not Changing the Problem: A Reply to Howson

Howson's critique of my essay on Hume's problem of induction levels two main charges. First, Howson claims that I have attributed to him an error that he never made, and in fact which he warned against in the very text that I cite. Secondly, Howson argues that my proposed solution to Hume's problem is flawed on technical and philosophical grounds. In response to the first charge, I explain how Howson's text justifies attributing to him the claim that the principle of induction is shown to be inconsistent by Goodman's riddle. In regards to the second, I show that Howson's objections rest on misunderstandings of formal learning theory and on conflating the problem of induction with the problem of unconceived alternatives.     

Bertrand Russell and the introduction of mathematical logic in China

Bertrand Russell was one of the most prominent figures in the formation and development of mathematical logic. It is widely acknowledged that his work in this field exerted tremendous influence in the West, especially in the first three decades of the twentieth century. The important role he played in inspiring Chinese interest in this subject, however, is virtually unknown. This paper describes Russell's contributions to the introduction of mathematical logic in China through a discussion of his lectures in Beijing in March of 1921, and the subsequent Chinese translations of his Introduction to Mathematical Philosophy and Principia Mathematica.     

Beltrami's model and the independence of the parallel postulate

In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell's Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy due to his distinction between sense (Sinn) and reference (Bedeutung). However, I show that while the paradox as Russell formulates it is ill-formed with Frege's extant logical system, if Frege's system is expanded to contain the commitments of his philosophy of language, an analogue of this paradox is formulable. This and other concerns in Fregean intensional logic are discussed, and it is discovered that Frege's logical system, even without its naive class theory embodied in its infamous Basic Law V, leads to inconsistencies when the theory of sense and reference is axiomatized therin. therein.     

Impossible objects∗

This paper deals with the Meinong‐Russell controversy on nonsubsistent objects. The first part notes the similarity of certain contemporary semantical developments to Meinonj;'s theory of nonsubsistent objects. Then it lays out the major features of Meinong's famous theory, considers Russell's objections to same and Meinong's counter‐objections to Russell, and argues that Russell's well‐known argument fails. However, it is possible to augment Russell's argument against Meinong with sound Russellian principles in such a way that it presents at least a strong inclining reason against Meinong's theory of impossible objects.     

Is Hume's shade of blue a red herring?

The existence of an idea of a missing shade of blue contradicts Hume's first principle that simple ideas all derive from corresponding simple impressions. Hume dismisses the ‘exception’ to his principle as unimportant. Why does he do so? His later account of distinctions of reason suggests a systematic way of dealing with simple ideas not derived from simple impressions. Why does he not return to the problem of the missing shade, having offered that account? Several suggestions as to Hume's solution of the problem of the missing shade (not all appealing to distinctions of reason) are explored with an eye both to their adequacy as Humean solutions and their value as clues to his dismissal of the problem. Hypotheses concerning the latter perplexity are formulated and discussed as well. Senses in which the missing shade of blue is or may be a red herring are identified. In course, this author names Hume's missing shade ‘marjorie grene’. Historians of philosophy will want to adopt this nomenclature.     

Demea’s Dilemmas

This paper considers how Descartes's and Hume's sceptical challenges were appropriated by Christian Wolff and Johann Nicolaus Tetens specifically in the context of projects related to Kant's in the transcendental deduction. Wolff introduces Descartes's dream hypothesis as an obstacle to his account of the truth of propositions, or logical truth, which he identifies with the 'possibility' of empirical concepts. Tetens explicitly takes Hume's account of our idea of causality to be a challenge to the `reality' of transcendent concepts in general, a challenge he addresses by locating the source of this concept in the understanding rather than in the imagination. After considering this background, I turn to Kant's deployment of apparently traditional sceptical concerns at the outset of the transcendental deduction and argue that he does not there intend to introduce a global sceptical challenge and, accordingly, that there are historical grounds for doubting that the transcendental deduction is intended as an anti-sceptical argument.     

Two Russellian Arguments for Acquaintance

Bertrand Russell [1912] argued that we are acquainted with our experiences. Although this conclusion has generated a lot of discussion, very little has been said about Russell's actual arguments for it. This paper aims to remedy that. I start by spelling out two Russellian arguments for acquaintance. Then I show that these arguments cannot both succeed. For if one is sound, the other isn't. Finally, I weigh our options with respect to these arguments, and defend one option in particular. I argue that we have good reason to believe that we can be, and sometimes are, acquainted with our experiences.     

Hume's Internalist Epistemology in EHU 12

Much has been written about Kemp Smith's (1941) famous problem regarding the tension between Hume's naturalism and his scepticism. However, most commentators have focused their attention on the Treatise; those who address the Enquiry often take it to express essentially the same message as the Treatise. When Hume's scepticism in the Enquiry has been investigated in its own right, commentators have tended to focus on Hume's inductive scepticism in Sections 4 and 5. All in all, it seems that Section 12 has been unduly neglected. This paper seeks to address Kemp Smith's problem from the standpoint of Hume's treatment of scepticism in EHU 12, and finds an interesting internalist account that makes sense both of Hume's discussion in EHU 12, and his aims in the Enquiry as a whole. Moreover, it is one that is of substantive philosophical interest, having intriguing parallels to contemporary epistemological accounts.     

CONCEIVABILITY AND MODAL KNOWLEDGE

Abstract: This article is a discussion of Hume's maxim Nothing we imagine is absolutely impossible. First I explain this maxim and distinguish it from the principle Whatever cannot be imagined (conceived), is impossible. Next I argue that Thomas Reid's criticism of the maxim fails and that the arguments by Tamar Szábo Gendler and John Hawthorne for the claim that “it is uncontroversial that there are cases where we are misled” by the maxim are unconvincing. Finally I state the limited but real value of the maxim: it does help us, in certain cases, reliably to make up our minds. Along the way I show that Reid, his criticism of the maxim notwithstanding, actually employs it, and I furthermore argue that the principle What is inconceivable, is impossible is spurious.