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)

This paper offers an interpretation of Russell's multiple-relation theory of judgment which characterizes it as direct application of the 1905 theory of definite descriptions. The paper maintains that it was by regarding propositional symbols (when occurring as subordinate clauses) as disguised descriptions of complexes, that Russell generated the philosophical explanation of the hierarchy of orders and the ramified theory of types of _Principia mathematica (1910). The interpretation provides a new understanding of Russell's abandoned book _Theory of Knowledge (1913), the 'direction (...) problems' and Wittgenstein's criticisms. (shrink)

In this article I present a summary of Bertrand Russell's protracted attempts to solve the problem of the unity of the proposition, and explain the significance of the problem for Russell's philosophy. Unlike many other accounts which take the problem to be confined to Russell's early theories of propositional content, I argue that the problem (or variants of it) is a recurring theme throughout the whole of Russell's career.

The aim of this paper is to show how, by developing apparatus that has roots in Russell's own early work, it is possible to vindicate a version of his notorious "multiple relation" theory of judgment by formally reducing it to a plausible representationalist theory. Various adequacy conditions on such a reductive vindication are introduced and motivated. The theories in question are then axiomatized, and bridge principles are provided to effect the desired reduction. Finally, the reduction is shown to be a (...) vindication in virtue of meeting all of the aforementioned adequacy conditions. (shrink)

In 1913 Wittgenstein raised an objection to Russell’s multiple relation theory of judgment that eventually led Russell to abandon his theory. As he put it in the Tractatus, the objection was that “the correct explanation of the form of the proposition, ‘A makes the judgement p’, must show that it is impossible for a judgement to be a piece of nonsense. (Russell’s theory does not satisfy this requirement,” (5.5422). This objection has been widely interpreted to concern type restrictions on the (...) constituents of judgment. I argue that this interpretation is mistaken and that Wittgenstein’s objection is in fact a form of the problem of the unity of the proposition. (shrink)

Bertrand Russell was neither the first nor the last philosopher to engage in serious theorizing about propositions. But his work between 1903, when he published The Principles of Mathematics, and 1919, when his final lectures on logical atomism were published, remains among the most important on the subject. And its importance is not merely historical. Russell’s rapidly evolving treatment of propositions during this period was driven by his engagement with – and discovery of – puzzles that either continue to shape (...) contemporary theorizing about propositions, or ought to do so. Russell’s creative responses to these puzzles also laid the foundation for many later accounts (most obviously, contemporary ‘Russellian’ accounts of propositions). In this entry we provide an opinionated overview of Russell’s influential treatment of propositions, with a focus on the evolution of his views from 1903 to 1919. A growing secondary literature is dedicated to Russell’s changing views during this period, and their often complex or opaque motivations. We do not intervene overmuch in this ongoing scholarly discussion. Instead, our aim is to trace some of the central motivations for Russell’s evolving views, and highlight the extent to which these motivations remain relevant to contemporary theorizing about propositions. (shrink)

This paper concerns Bertrand Russell’s changing views on negative judgement. ‘Negative judgement’ is considered in the context of three theories of judgement that Russell put forth at different times: a dual relation theory ; a multiple relation theory ; a psychological theory of judgement. Four issues are singled out for a more detailed discussion: quality dualism versus quality monism, that is, the question whether judgement comes in two kinds, acceptance and rejection, or whether there is only one judgement-quality ; the (...) structure of negative judging; the problem of truth-making for negative facts; the different roles of ‘fact’ in Russell’s theories of truth. What emerges from the discussion is a rough chronology of Russell’s views on negative judgement during the period from 1903 to 1948. (shrink)

Anyone familiar with Russell’s work on the multiple-relation theory of judgment will at some point have puzzled over the map of the five-term understanding complex at the end of Chapter 1, Part II of his Theory of Knowledge (1913). Russell presents the map with the intention of clarifying what goes on when a subject S understands the “proposition” that A and B are similar. But the map raises more questions than it answers. In this paper I present and develop some (...) of the central issues that arise from Russell’s map, and I offer an interpretation of it that reflects his evolving views in the manuscript. I argue that multiple lines in the map are not meant to represent many relations, but rather one comprehensive multiple relation of understanding. And I argue that such a relation relates in a complex way due to the distinctive nature of its relata. (shrink)

In this article, I show and discuss the relevance of Wittgenstein's arguments as to the spatial structure of sight to recent issues in the philosophy of mind. The first, bearing upon the dimensionality of the manifolds at play in depiction, plays a critical role in Clark's attempt to provide an independent account ofqualiaand of their differentiative properties. The second, pertaining to the properly spatial structure formed by the data of sight, is explicitly appealed to in the debate on the realistic (...) character of any genuinely spatial scheme. I argue that if Wittgenstein rightly assumes that the simultaneous presence of sensible places in vision is a key condition for objectivity, he fails nevertheless to warrant the allegedly realistic character of the scheme employed in his own search for a phenomenological description of the visual field. (shrink)

Beliefs have what I will call ‘propositional content’. A belief is always a belief that so-and-so: a belief that grass is green, or a belief that snow is white, or whatever. Other things have propositional content too, such as sentences, judgments and assertions. The Standard View amongst philosophers is that what it is to have a propositional content is to stand in an appropriate relation to a proposition. Moreover, on this view, propositions are objects, i.e. the kind of thing you (...) can refer to with singular terms. For example, on the Standard View, we should parse the sentence ‘Simon believes that Sharon is funny’ as: [Simon] believes [that Sharon is funny]; ‘Simon’ is a term referring to a thinking subject, ‘that Sharon is funny’ is a term referring to a proposition, and ‘x believes y’ is a dyadic predicate expressing the believing relation. In this paper, I argue against the Standard View. This is how I think we should parse ‘Simon believes that Sharon is funny’: [Simon] believes that [Sharon is funny]; here we have a singular term, ‘Simon’, a sentence ‘Sharon is funny’, and a ‘prenective’ joining them together, ‘x believes that p’. On this Prenective View, we do not get at the propositional content of someone’s belief by referring to a reified proposition with a singular term; we simply use the sentence ‘Sharon is funny’ to express that content for ourselves. I argue for the Prenective View in large part by showing that an initially attractive version of the Standard View is actually vulnerable to the same objection that Wittgenstein used against Russell’s multiple-relation theory of judgment. (shrink)

I offer an interpretation of Wittgenstein's claim that Russell's theory of judgment fails to show that it's not possible to judge nonsense.

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 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. (shrink)

In his critical notice of Russell's Theory of Knowledge, R. E. Tully takes issue with my interpretation of Wittgenstein's criticism of Russell's theory of judgment. Against it he raises two objections and also sketches an alternative interpretation. On Tully's characterization, I believe that Russell was shot out of the tree by a subtle but devastating argument, while Tully believes that he was shaken out of the tree by a much broader but non-lethal attack on his conception of a proposition. The (...) metaphor is not inappropriate. I certainly believe that Wittgenstein's attack was lethal to Russell's theory of judgment and shows extraordinary marksmanship. But I do not want to deny that there was a lot of tree shaking going on at the same time—concerning, in particular, the logical constants and the concept of a proposition, both of which were topics closely related to the theory of judgment. Thus, while I maintain that Russell was shot, I do not subscribe to a single-bullet theory. (shrink)

One of the main challenges faced by Russell's theory of judgement was to provide a satisfactory account of judgement that was not committed to the existence of true, false, or non-existent complex entities such as Meinongian objectives. In the study of the Russell-Wittgenstein debate on that theory, scholars never considered the idea that Wittgenstein might not have followed Russell on that issue. In this article. I address that question and hold, first, that problems raised by Russell's theory of judgement find (...) their solution in the picture theory. Then, I show that Wittgenstein hesitated for a long period of time in theNotebooksbetween a version of his solution which is committed to the existence of possible (non-existing) complex entities and one which is not. Finally, I argue that he did, along with Meinong, go for a committing version in theTractatus. (shrink)

Russell's concept of the self as relevant to semantics, distinct from the psychological concept, evolved from a judger with no complexity of relevance to semantics to a mind with much relevant complexity. The evolution transformed his semantic conceptions: He reassessed what constitutes intentionality, giving up his theory of acquaintance as the aboriginal intentional relation, favoring a contextually constituted intentionality in his theory of neutral monism. His anti-idealism extricated itself from an unwarranted antirepresentationalism. Truth went from being an adverb of acts (...) to an adjective of propositions. He formulated a theory of singular knowledge based on a relation of noticing that anticipated Kaplan's "vivid Names." But, although he saw that the judger-adjudged relation could not account for a judgment's unity, he did not discover what did unify it. Stenius and Geach discovered it in that complex state of the judger which underlies the judgment's verb. (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)

This paper is an attempt to explain why Russell abandoned the ontology of propositions, mind-independent complex entities that are possible objects of judgements. I argue that he did so not because of any decisive argument but because he found it better to endorse the existential account of truth, according to which a judgement is true if and only if there exists (or in his view subsists) a corresponding fact. In order to endorse this account, he had examined various theories of (...) judgement before he adopted the multiple-relation theory of judgement, the most feasible way he then had of espousing it. I also attempt to explain why he preferred the existential account of truth. (shrink)

This paper investigates Wittgenstein's "notorious" criticism of Russell's theory of judgment. Instead of advancing a further new interpretation of it, though, I analyze and discuss some of the most promising readings of the Russell/Wittgenstein dispute put forward in the secondary literature; I aim to show that, despite their alleged reciprocal opposition, they cohere with each other because they are, at bottom, different ways of highlighting the same question. I then connect Wittgenstein's criticism of Russell to the account of the nature (...) of the proposition presented in the Tractatus, arguing that the latter can be seen as a natural development of the former. Finally, I make a quick connection between Wittgenstein's criticism of Russell and the conception of the world as the totality of facts, as presented in the Tractatus. (shrink)

This paper examines Russell's substitutional theory of classes and relations, and its influence on the development of the theory of logical types between the years 1906 and the publication of Principia Mathematica (volume I) in 1910. The substitutional theory proves to have been much more influential on Russell's writings than has been hitherto thought. After a brief introduction, the paper traces Russell's published works on type-theory up to Principia. Each is interpreted as presenting a version or modification of the substitutional (...) theory. New motivations for Russell's 1908 axiom of infinity and axiom of reducibility are revealed. (shrink)

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)

In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics, meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.

Between 1903 and 1918 Russell made a number of attempts to understand the unity of the proposition, but his attempts all foundered on his failure clearly to distinguish between different senses in which the relation R might be said to relate a and b in the proposition aRb: he failed to distinguish between the relation as truth-maker and the relation as unifier, and consequently committed himself again and again to the unacceptable consequence that only true propositions are genuinely unified. There (...) is an anticipation of this confusion in the writings of the fourteenth-century philosopher Richard Brinkley. (shrink)

El objetivo de este artículo es ofrecer una interpretación, en parte novedosa, del pasaje 5.54-5.5423 del Tractatus en el que Wittgenstein examina las proposiciones que representan relaciones intencionales como el juicio. La idea fundamental será que estas proposiciones se consideran como proposiciones que tratan de complejos y, en consecuencia, deberían analizarse de conformidad con el parágrafo 2.0201, lo que me llevará a desarrollar paso a paso el análisis propuesto. Adicionalmente, argumentaré que la teoría de Wittgenstein así entendida excluye la posibilidad (...) de juzgar sinsentidos, a diferencia de la teoría de Russell del juicio como relación múltiple. (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)