In this article I argue that Russell's multiple-relation theory of judgment is a continuation of the campaign against Frege and Meinong begun in “On Denoting” with the theory of descriptions. More precisely, I hold that the problem of false belief, to which the multiple-relation theory is presented as a solution, emerges quite naturally out of the problem context of “On Denoting” and threatens to give new life to the theories Russell purports to have laid to rest there, and that Russell's (...) solution to the much neglected third puzzle of “On Denoting” contains the gist of the multiple-relation theory. The failure of that theory to solve the problem of false belief thus signifies the failure of the theory of descriptions. (shrink)

ABSTRACT In her paper “On the Nature of Judgment”, published in 1919 in Mind, Dorothy Wrinch aimed at understanding how Russell’s multiple relation theory of judgement might be made to work. In this paper we will focus on Wrinch’s claim that on the theory it is impossible, as it should be, to judge nonsense. After having presented the prima facie objection to the theory created by nonsense and what we can take her solution to such a problem to imply, we (...) will show how Wrinch can resist the two main objections that have been moved to such a solution, whether as explicitly attributed to Wrinch or discussed without mentioning her. The conclusion will be, contrary to what one might be tempted to think, that even if there might be reasons to take the multiple relation theory as doomed, Wrinch was the first to show us that nonsense is not one of those reasons. (shrink)

We discuss a previously unnoticed resemblance between the theory of relations and predicates in The Philosophy of Logical Atomism [TPLA] by Russell and the theory of objects and names in the Tractatus Logico-Philosophicus [TLP] by Wittgenstein. Points of likeness are detected on three levels: ontology, syntax, and semantics. This analogy explains the prima facie similarities between the informal presentation of the theory of types in TPLA and the sections of the TLP devoted to this same topic. Eventually, we draw some (...) consequences concerning both sides of the analogy: for what concerns Russell, the contextual pertinence of this surprising fragment of Tractarian metaphysics and semantics is questioned on several grounds; about Wittgenstein, the interpreters who do not identify Tractarian objects with particulars are in a better position to make sense of the analogy here discovered. (shrink)

In this article, I pay special expository attention to two pieces of philosophically relevant Wittgenstein–Russell correspondence from the period leading up to the ultimate demise of Russell's Theory of Knowledge manuscript (in June 1913). This is done in the hopes of shedding light on Wittgenstein's notoriously obscure criticisms of Russell's multiple relation theory of judgement. I argue that these two pieces of correspondence (the first, a letter from Wittgenstein to Russell dated January 1913, and the second, a letter from Russell (...) to Ottoline Morrell, reporting a tense confrontation with Wittgenstein on 26 May 1913) each refer to what is more or less the same approach to problems concerning the unity and well-formedness of propositions or judgements. However, the view advanced in Wittgenstein's January letter to Russell nevertheless differs in a key respect from the view of Russell's referred to in the May letter to Morrell. The difference involves Wittgenstein's incorporating qualities and relations as unsaturated parts of the copulae of atomic complexes, where these copulae are in turn conceived as logical forms. Because such an approach to logical form (and more specifically, to relations) was philosophically unpalatable to Russell, he undertook an alternative theoretical correction in the context of his 1913 Theory of Knowledge manuscript. This theoretical correction was discussed with Wittgenstein during the tense confrontation on 26 May, and involved deploying a supplemental significance constraint on judgements. It was this significance constraint on judgements, moreover, which was the ‘premiss’ alluded to by Wittgenstein in the context of a June 1913 letter to Russell, wherein he claims to express his objection to Russell's theory ‘exactly.’. (shrink)

It is fairly well known that Wittgenstein's criticisms of Russell's multiple‐relation theory of judgement had a devastating effect on the latter's philosophical enterprise. The exact nature of those criticisms however, and the explanation for the severity of their consequences, has been a source of confusion and disagreement amongst both Russell and Wittgenstein scholars. In this paper, I offer an interpretation of those criticisms which shows them to be consonant with Wittgenstein's general critique of Russell's conception of logic and which serves (...) to elucidate some of the notoriously enigmatic passages of the Tractatus. In particular, I seek to show the continuity of Wittgenstein's criticisms of the theory of judgement with his remarks on Russell's paradox and the theory of types. In addition, I place these issues in the context of Russell's own philosophical ambitions in order to reveal the deep divisions between the two over the nature of logical form and the analysis of propositional content. (shrink)

Russell's version of the multiple-relation theory from the "Theory of Knowledge" manuscript is presented and defended against some objections. A new problem, related to defining truth via correspondence, is reconstructed from Russell's remarks and what we know of Wittgenstein's objection to Russell's theory. In the end, understanding this objection in terms of correspondence helps to link Russell's multiple-relation theory to his later views on propositions.

Recent years have seen a resurgence of scholarly interest in the precise nature of Wittgenstein’s fateful but notoriously obscure criticisms of Russell’s multiple relation theory of judgment, levelled as Russell was furiously composing _Theory of Knowledge_ in May–June 1913. In this paper, I place special expository focus on two controversial documents from the relevant period, whose nature and interrelationships to this point have been inadequately understood in the literature. The first document is a set of working notes composed by Russell (...) under the title “Props”—which I date as on or shortly after 26 May—while the second is a June 1913 letter from Wittgenstein to Russell, often thought to contain a “paralyzing”, if mysterious, objection to Russell’s theory. On the basis of a new interpretation of these two documents and their relationship, I revise the “standard reading” of Wittgenstein’s criticisms. The revision renders that reading invulnerable to certain seemingly devastating criticisms developed by Stevens in 2003. I defend my revised reading against various “non-standard” alternatives which have flourished in the recent literature, in part as the result of Stevens’ criticisms. (shrink)

In this paper, I aim to shed light on the use of transcendental deductions, within demonstrations of aspects of Wittgenstein's early semantics, metaphysics, and philosophy of mathematics. I focus on two crucial claims introduced by Wittgenstein within these transcendental deductions, each identified in conversation with Desmond Lee in 1930-31. Specifically, the claims are of the logical independence of elementary propositions, and that infinity is a number. I show how these two, crucial claims are both demonstrated and subsequently deployed by Wittgenstein (...) within a series of transcendental deductions, a series which begins with extensionalism as a generalized condition of sense on propositions, and in the context of which are then derived various, further, significant and unobvious presuppositions generated by that generalized condition of sense. In addition to clearing up deductions of these two, aforementioned claims, I also elucidate deductions of the subsistence of objects, and of logical space as an infinite totality. (shrink)