By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

Belirli betimlemeler, bir belirli tanımlıkla (Türkçede seslendirilmeyen ancak İngilizcede karşılığı "the" olan) başlayan "İngiltere'nin kralı", "Çin'in başkenti" gibi deyimlerdir. Russell bu yazıda belirli betimlemelerin mantıksal olarak nasıl çözümlenmesi gerektiği ile ilgili kendi betimlemeler kuramını ortaya atar. Russell'ın savı, belirli betimlemeler doğru bir biçimde çözümlenirse bir karşılığı olmayan "Fransa'nın şimdiki kralı" gibi deyimlerin yol açtığı türden birçok felsefi bilmecenin ortadan kalkacağıdır.

Bertrand Russell was a meta-ethical pioneer, the original inventor of both emotivism and the error theory. Why, having abandoned emotivism for the error theory, did he switch back to emotivism in the 1920s? Perhaps he did not relish the thought that as a moralist he was a professional hypocrite. In addition, Russell's version of the error theory suffers from severe defects. He commits the naturalistic fallacy and runs afoul of his own and Moore's arguments against subjectivism. These defects could (...) be repaired, but only by abandoning Russell's semantics.Russell preferred to revert to emotivism. (shrink)

The notion of logical construction was used by Bertrand Russell in the early 20th century, which originally comes from A. N. Whitehead. Russell said that matter as a mind-independent thing can only be known by description. He also argued that matter is a logical construction of sense-data. However, this leads to an incoherent view of the direct or indirect connection between a mind and the external world. The problem examining is whether a collapsing house is a logical construction of (...) the sense-data of rumbling sounds and collapsing shapes. Using Russell's writings between 1911 and 1918, I will analyze how Russell characterized logical constructions. Finally, I will show Russell’s view about the relation of logical constructions to matter and sense-data. A careful interpretation of Russell's thoughts shows that the contents of the statements of the physical world are not constructions being equivalent to the contents of the sense-datum statements. (shrink)

Until very recently the received wisdom on Russell’s moral philosophy was that it is uninspired and derivative, from Moore in its first phase and from Hume and the emotivists in its second. In my view this is a consensus of error. In the latter part of this essay I contend: 1) that Russell’s ‘work in moral philosophy’ had at least three, and (depending how you look at it) up to six ‘main phases’; 2) that in some of those phases, it (...) was not derivative, but on the contrary, highly original; 3) that Russell was a pioneer of two of the chief forms of ethical anti-realism that have dominated debate in this century, emotivism and the error theory (so that if the theory of Human Society was derived from emotivism, it was derived from a family of theories that Russell himself helped to create); 4) that the revolt against Hegelianism, which led to the birth of Analytic Philosophy, had an ethical dimension to it; and 5) that Russell played an important part in the debates that led up to Moore’s Principia Ethica, so that the view form which his own opinions were derived is one that he helped to develop. -/- I also argue that Russell himself pioneered a rather puritanical conception of philosophy which tended to extrude his own writings on politics and practical ethics as not really philosophical. Since this conception has been largely abandoned, it is time to let them back into the fold. I argue that this views of practical affairs are often backed by interesting philosophical arguments, illustrating this thesis with a reconstruction and critique of Russell’s Hobbesian argument for world government. (shrink)

Despite its enormous popularity, Russell’s theory of definite descriptions has received various criticisms. Two of the most important objections against this theory are those arising from the Argument from Incompleteness and the Argument from Donnellan’s Distinction. According to the former although a speaker may say something true by assertively uttering a sentence containing an incomplete description , on the Russellian analysis such a sentence expresses a false proposition; so, Russell’s theory cannot adequately deal with such sentences. According to the latter (...) objection a descriptive sentence is actually ambiguous—it expresses a general proposition when the description contained in it is used attributively, and a singular proposition when the description in question is used referentially; Russell’s theory is inadequate as it fails to capture this ambiguity and offers an analysis according to which a descriptive sentence expresses only a general proposition. These objections are examined in the present dissertation. It is shown here that these objections arise from: (i) ignoring the distinction between the meaning of a sentence and the assertions made by using it, (ii) the failure to distinguish between the semantic meaning of a sentence and the pragmatic meaning with which it is used on a particular occasion. To make the distinction mentioned in (i), a significant part of Scott Soames’ theory concerning meaning and assertions has been adopted in this dissertation; and, to make the distinction mentioned in (ii), a test, namely the cancellability test, and two Distinguishing Criteria, namely DC-1 and DC-2, have been developed here. It has been argued here that if we properly make the relevant distinctions, then we will find that: (a) the phenomenon cited by the Argument from Incompleteness can be well explained keeping the Russellian analysis of descriptive sentences intact, (b) the phenomenon arising from the Argument from Donnellan’s Distinction raises an issue of pragmatics and is irrelevant to Russell’s semantic analysis of descriptive sentences. So, none of the above criticisms poses a genuine threat to Russell’s theory of definite descriptions; his theory actually provides, to a large extent, a correct semantic analysis of descriptive sentences. (shrink)

In this article, the author analyses the relationship between two prominent philosophers of the 20th century in Europe and Great Britain—Ludwig Wittgenstein and Bertrand Russell. According to a lot of correspondence available nowadays we can reconstruct not only the environment of thought in Cambridge in the beginning and the first half of the 20th century but to find out some very personal, subjective grounds for the changes of relationship between thinkers, misunderstandings between them. Such a kind of biographical-historical reconstruction (...) does not interfere but helps to understand better the origin, development, and criticism of philosophical ideas and theories. In this context, the personal relationship between Russell and Wittgenstein, their friendship for more than 30 years, and mutual assistance, both intellectual and business, played a big role in the development and formation of both philosophers as philosophers. Even mutual disagreements and criticism of ideas over time helped them to see the shortcomings and sometimes even complete failure of their theses and statements. First, the author describes in detail the role of Russell in Wittgenstein’s life: first meeting and inspiration to do philosophy, support in studies, assistance in the publication of Wittgenstein’s first book, support, and facilitation in returning to Cambridge in 1929, obtaining PhD degree and receiving Trinity College grant. Second, the author considers the fundamental points of philosophical disagreements between the two philosophers and Wittgenstein’s critique of Russell’s ideas. (shrink)

From 1901 till, at least, 1919, Russell persistently maintained that there are two kinds of logic, between which he sharply discriminated: mathematical logic and philosophical logic. In this paper, we discuss the concept of philosophical logic, as used by Russell. This was only a tentative program that Russell did not clarify in detail, so our task will be to make it explicit. We shall show that there are three (-and-a-half) kinds of Russellian philosophical logic: (i) “pure logic”; (ii) philosophical logic (...) investigating the logical forms of propositions; (iii) philosophical logic exploring the logical forms of facts: in epistemology; and in the external world. In particular, Russell’s program or philosophical logic of the facts of the external world remained less than sketchily outlined. We shall discuss it in some detail in the hope that it can start a new life. (shrink)

Revealed that Bertrand Russell's Wisdom of the West was most likely actually written by its "editor", Paul Foulkes, in view of the prominence in the text of the ideas of Foulkes' teacher, John Anderson. That suspicion later turned out to be true.

Review of a reissue of Russell's My Philosophical Development.

Review of BERTRAND RUSSELL: THE SPIRIT OF SOLITUDE, the first volume of Ray Monk's biography of Russell.

In his work Why I Am Not a Christian and Other Essays on Religion and Related Subjects, Bertrand Russell attempts to demonstrate the nonexistence of God. In this work we will address the analysis of the consistency of his arguments on the existence of God and the First Cause, using the AV (Acceptability-Inferential Validity) scheme in a philosophical-argumentative study of them, to reveal their weaknesses, and we will propose a more solid type of argumentation and its corresponding counterargument.

‘Poor Bertie’ Beatrice Webb wrote after receiving a visit from Bertrand Russell in 1931, ‘he has made a mess of his life and he knows it’. In the 1931 version of his Autobiography, Russell himself seemed to share Webb’s estimate of his achievements. Emotionally, intellectually and politically, he wrote, his life had been a failure. This sense of failure pervades the second volume of Ray Monk’s engrossing and insightful biography. At its heart is the failure of Russell’s marriages to (...) Dora Black and Patricia (Peter) Spence, his poor relationships with his children John and Kate, and the decline in his reputation as a philosopher. Russell, who had changed the direction of philosophy irrevocably, was in later years unable to find permanent academic employment in Britain, ousted from his professorship at the City College of New York because of his views on sex and marriage, and was reduced to giving nonspecialist lectures at a foundation established by the Philadelphia philanthropist Albert C. Barnes. Eventually in 1944 he returned to Cambridge, but by then the philosophical world was in the grip of Ludwig Wittgenstein’s ideas, and Russell was largely ignored. (shrink)

CORCORAN RECOMMENDS COCCHIARELLA ON TYPE THEORY. The 1983 review in Mathematical Reviews 83e:03005 of: Cocchiarella, Nino “The development of the theory of logical types and the notion of a logical subject in Russell's early philosophy: Bertrand Russell's early philosophy, Part I”. Synthese 45 (1980), no. 1, 71-115 .

Russell identifies the conflict between the ego of self and the greater universe causes internal strife that can only be resolved by truly open questioning. Through this, we are enriching our lives and our minds, while becoming closer to our universal truths.

Review of The Cambridge Companion to Bertrand Russell.

I present an answer to the title question which relates Russell’s writings to a remark by C.D. Broad. Russell shared the same concerns as Broad about the new postgraduate students at the University of Cambridge but instead of voicing them, his writings left a problem.

Russell’s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell’s logic was nothing but mereology. First, his acquaintance with Peano’s ideas in August 1900 led him to discard the part-whole logic and accept a kind of intensional predicate logic instead. Among other things, the predicate logic helped Russell embrace a technique of treating the paradox of infinite numbers with the help of a singular concept, which he called ‘denoting phrase’. Unfortunately, (...) a new paradox emerged soon: that of classes. The main contention of this paper is that Russell’s new conception only transferred the paradox of infinity from the realm of infinite numbers to that of class-inclusion. Russell’s long-elaborated solution to his paradox developed between 1905 and 1908 was nothing but to set aside of some of the ideas he adopted with his turn of August 1900: (i) With the Theory of Descriptions, he reintroduced the complexes we are acquainted with in logic. In this way, he partly restored the pre-August 1900 mereology of complexes and simples. (ii) The elimination of classes, with the help of the ‘substitutional theory’, and of propositions, by means of the Multiple Relation Theory of Judgment, completed this process. (shrink)

Exposed in 1948, within his masterpiece on the scope and limits of human knowledge, the epistemological tenets that Bertrand Russell regarded as fundamental elements in the construction of scientific knowledge, are still worthy of a detailed discussion today. Given the excellence of the author, it will not be surprising to see that Russell's gnoseologic postulates, even for the present scientific view, address some of the most controversial questions still to be solved in the theory of knowledge.

Marathi Translation of Bertrand Russell's Preface of History of Western Philosophy.

Despite of the fact that Reichenbach clearly acknowledged his indebtedness to Hilbert, the influence of this leading mathematician of the time on him is grossly neglected. The present paper demonstrates that the decisive years of the development of Reichenbach as a philosopher of science coincide with, and also partly followed the “philosophical” turn of Hilbert’s mathematics after 1917 that was fixed in the so called “Hilbert’s program”. The paper specifically addresses the fact that after 1917, Hilbert saw the axiomatic method (...) as an instrument for providing the foundations not only of mathematics but also of other sciences. In particular, Hilbert’s axiomatic program was closely connected with the theoretical physics and arguably helped Einstein to discover the general theory of relativity. In this context, one can see Reichenbach’s project to axiomatize Einstein’s theory of relativity as a continuation of this project. Under Russell’s influence, after 1914 Hilbert also developed an interest in mathematical logic. Reichenbach experienced similar transition from axiomatics to logic which went together with turn of his interest from Hilbert to Russell. Reichenbach’s rapprochement to Russell also supported the transition of his interests from epistemology to ontology. (shrink)

Moore and Russell’s philosophical and personal paths through the early years of the twentieth century make a fascinating chronicle. Some of this story is familiar; but material from the unpublished Moore papers adds new and forceful detail to the account. It is a commonplace by now that Russell and Moore were not friends, although they maintained a long professional association. Their most intellectually intimate phase came early on, reaching a peak in 1897–99. But I show that during this period Moore (...) developed an indisputable antagonism toward Russell, which I argue was motivated by a form of intellectual self-preservation from the Russellian juggernaut. This paper examines aspects of the development of their views and their relationship between 1894 and 1901. (shrink)

Logicism is the thesis that all or, at least parts, of mathematics is reducible to deductive logic in at least two senses: (A) that mathematical lexis can be defined by sole recourse to logical constants [a definition thesis]; and, (B) that mathematical theorems are derivable from solely logical axioms [a derivation thesis]. The principal proponents of this thesis are: Frege, Dedekind, and Russell. The central question that I raise in this paper is the following: ‘How did Russell construe the philosophical (...) worth of logicism?’ The argument that I build in response to this is that Russell perceived an inverse proportion between a logical reduction of mathematics and the certitude of non-novel mathematical theorems—such that the more we reduce mathematics to logic, the more certain we become of our mathematical theorems; this was portrayed through a presentation of mathematical knowledge as coherent. Therefore, I set out to sketch Russell’s coherence theory and appraise it in relation to the presence discourse: i.e., in relation to logicism and mathematical certainty. (shrink)

I take a dim view of this absurdly overpraised book, marred as it is is by errors of fact, interpretation and method and surprisingly uniformed (as it appears to be) about Russian history. It shows what can go wrong with Skinnerite intellectual history in the hands of somebody less gifted than Skinner himself.

This chapter examines Bertrand Russell's developing views--roughly from 1911 to 1918--on the nature of introspective knowledge and subjects' most basic knowledge of themselves as themselves. It argues that Russell's theory of introspection distinguishes between direct awareness of individual psychological objects and features, the presentation of psychological complexes involving those objects and features, and introspective judgments which aim to correspond with them. It also explores his transition from believing that subjects enjoy introspective self-acquaintance, to believing that they only know themselves (...) by self-description, and eventually to believing that self-knowledge is a logical construction. It concludes by sketching how Russell's views about introspection and self-knowledge change as a result of his adoption of neutral monism. Along the way, it sheds additional light on his acquaintance-based theory of knowledge, preference for logical constructions over inferred entities, and gradual progression towards neutral monism. (shrink)

Bertrand Russell was never to forget the course he gave in Barcelona in the spring of 1920. In the bitter title-page of An Inquiry into Meaning and Truth (1940), after the legal ruling which had suspended him from teaching at City College, New York, he expressly mentions his lectures in Barcelona, along with those he had given at the Universities of Uppsala and Copenhagen and at the Sorbonne. He also alludes briefly to them in his Autobiography (Russell 1990, II, (...) 143), but their circumstances and import have received no attention to date. The aim of this paper is to bring to light the available information on this subject in the Russell Archives (McMaster University, Canada) and the papers left by Joan Crexells (1896-1926) and Eugenio d'Ors (1881-1954), the two Catalan philosophers behind Russell's visit, and to put forward an assessment of Russell's influence on Spanish philosophy. (shrink)

This paper presents a history of Bertrand Russell's evolving views on the nature of truth. It begins with his brief defense of a primitivist view of truth, followed by his critical accounts of both the coherence and pragmatic theories of truth. Then the paper discusses Russell's shift to the correspondence theory, and the variations of it he defended throughout his career.

The goal of this note is to bring into wider attention the often neglected important work by Bertrand Russell on the foundations of physics published in the late 1920s. In particular, we emphasize how the book The Analysis of Matter can be considered the earliest systematic attempt to unify the modern quantum theory, just emerging by that time, with general relativity. More importantly, it is argued that the idea of what I call Russell space, introduced in Part III of (...) that book, is more fundamental than quantum theory, general relativity, and quantum gravity since the topological ordinal space proposed by Russell would naturally incorporate into its very fabric the emergent nature of spacetime by deploying event assemblages, and not spacetime or particles, as the fundamental building blocks of the world. (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)

Bertrand Russell was one of the best-known proponents of logicism: the theory that mathematics reduces to, or is an extension of, logic. Russell argued for this thesis in his 1903 The Principles of Mathematics and attempted to demonstrate it formally in Principia Mathematica (PM 1910–1913; with A. N. Whitehead). Russell later described his work as a further “regressive” step in understanding the foundations of mathematics made possible by the late 19th century “arithmetization” of mathematics and Frege’s logical definitions of (...) arithmetical concepts. The logical system of PM sought to improve on earlier attempts by solving the contradictions found in, e.g., Frege’s system, by employing a theory of types. In this article, I also consider and critically evaluate the most common objections to Russell’s logicism, including the claim that it is undermined by Gödel’s incompleteness results, and Putnam's charge of “if-thenism”. I suggest that if we are willing to accept a slightly revisionist account of what counts as a mathematical truth, these criticisms do not obviously refute Russell’s claim to have established that mathematical truths generally are a species of logical truth. (shrink)

This chapter examines Bertrand Russell’s various confrontations with Bergson’s work. Russell’s meetings with Bergson during 1911 would be followed in 1912 by the publication of Russell’s earliest polemical pieces. His 1912 review of Bergson’s Laughter ridicules the effort to develop a philosophical account of humour on the basis of some formula. In his 1912 “The Philosophy of Bergson”, Russell develops a series of objections against Bergson’s accounts of number, space, and duration. Bergson’s position is defended against Russell’s onslaught by (...) H. W. Carr (1913) and Karin Costelloe-Stephen (1914), though Russell only replies to the former. By contrast to Bergson’s silence in the face of Russell’s criticisms, Russell would continue responding to Bergson’s views in multiple works during the 1910s and 1920s. As this chapter shows, Russell not only develops further objections against specific theses upheld by Bergson, but also comments upon the political implications of Bergson’s philosophy, as well as its positioning within the history of French philosophy. (shrink)

A response to Graham Stevens’s response to Lugg, ‘Russell as a Precursor of Quine’ (Bertrand Russell Society Quarterly, nos. 128-129, pp. 9-21). Stevens challenges the argument of this paper that from 1912, if not earlier, Russell was “a naturalistically-minded epistemologist in the Quinean mould”. He maintains that to the contrary “Russell cannot be accurately characterized as an empiricist” and “Russell’s greatest influence on Quine’s naturalistic project did not stem from his epistemology but from his semantics”. In the present note (...) it is argued Stevens overlooks that Russell is in the empiricist camp as well as the naturalist camp and the empiricist elements of Russell’s philosophy are secondary to his naturalism. (shrink)

On Russell's and Quine's "naturalism".

Bertrand Russell’s conception of philosophy evolved dramatically in 1911 — the year he fell in love with Lady Ottoline Morrell. For many years Russell had been an ardent advocate of the view that philosophers ought to look for truths that are certain. The co-author of Principia Mathematica altered his commitment to certainty in philosophy in 1911. An analysis of his published views and correspondence from this time strongly suggests that the radical transformation was induced by an epiphany brought about (...) by his emotional entanglement with his lover. (shrink)

According to Quine, Charles Parsons, Mark Steiner, and others, Russell’s logicist project is important because, if successful, it would show that mathematical theorems possess desirable epistemic properties often attributed to logical theorems, such as aprioricity, necessity, and certainty. Unfortunately, Russell never attributed such importance to logicism, and such a thesis contradicts Russell’s explicitly stated views on the relationship between logic and mathematics. This raises the question: what did Russell understand to be the philosophical importance of logicism? Building on recent work (...) by Andrew Irvine and Martin Godwyn, I argue that Russell thought a systematic reduction of mathematics increases the certainty of known mathematical theorems (even basic arithmetical facts) by showing mathematical knowledge to be coherently organized. The paper outlines Russell’s theory of coherence, and discusses its relevance to logicism and the certainty attributed to mathematics. (shrink)

In the early 1900s, Russell began to recognize that he, and many other mathematicians, had been using assertions like the Axiom of Choice implicitly, and without explicitly proving them. In working with the Axioms of Choice, Infinity, and Reducibility, and his and Whitehead’s Multiplicative Axiom, Russell came to take the position that some axioms are necessary to recovering certain results of mathematics, but may not be proven to be true absolutely. The essay traces historical roots of, and motivations for, Russell’s (...) method of analysis, which are intended to shed light on his view about the status of mathematical axioms. I describe the position Russell develops in consequence as “immanent logicism,” in contrast to what Irving (1989) describes as “epistemic logicism.” Immanent logicism allows Russell to avoid the logocentric predicament, and to propose a method for discovering structural relationships of dependence within mathematical theories. (shrink)

Bertrand Russell’s philosophy around 1914 is often interpreted as phenomenalism, the view that sensations are not caused by but rather constitute ordinary objects. Indeed, prima facie, his 1914 Our Knowledge of the External World reduces objects to sense-data. However, Russell did not think his view was phenomenalist, and he said that he never gave up either the causal theory of perception or a realist understanding of objects. In this paper I offer an explanation of why Russell might have undertaken (...) the constructionist project of his 1914 work while not considering the resulting position that objects can be constructed out of sense-data to be phenomenalist. (shrink)

Hans Reichenbach’s pragmatic treatment of the problem of induction in his later works on inductive inference was, and still is, of great interest. However, it has been dismissed as a pseudo-solution and it has been regarded as problematically obscure. This is, in large part, due to the difficulty in understanding exactly what Reichenbach’s solution is supposed to amount to, especially as it appears to offer no response to the inductive skeptic. For entirely different reasons, the significance of Bertrand Russell’s (...) classic attempt to solve Hume’s problem is also both obscure and controversial. Russell accepted that Hume’s reasoning about induction was basically correct, but he argued that given the centrality of induction in our cognitive endeavors something must be wrong with Hume’s basic assumptions. What Russell effectively identified as Hume’s (and Reichenbach’s) failure was the commitment to a purely extensional empiricism. So, Russell’s solution to the problem of induction was to concede extensional empiricism and to accept that induction is grounded by accepting both a robust essentialism and a form of rationalism that allowed for a priori knowledge of universals. So, neither of those doctrines is without its critics. On the one hand, Reichenbach’s solution faces the charges of obscurity and of offering no response to the inductive skeptic. On the other hand, Russell’s solution looks to be objectionably ad hoc absent some non-controversial and independent argument that the universals that are necessary to ground the uniformity of nature actually exist and are knowable. This particular charge is especially likely to arise from those inclined towards purely extensional forms of empiricism. In this paper the significance of Reichenbach’s solution to the problem of induction will be made clearer via the comparison of these two historically important views about the problem of induction. The modest but important contention that will be made here is that the comparison of Reichenbach’s and Russell’s solutions calls attention to the opposition between extensional and intensional metaphysical presuppositions in the context of attempts to solve the problem of induction. It will be show that, in effect, what Reichenbach does is to establish an important epistemic limitation of extensional empiricism. So, it will be argued here that there is nothing really obscure about Reichenbach’s thoughts on induction at all. He was simply working out the limits of extensional empiricism with respect to inductive inference in opposition to the sort of metaphysics favored by Russell and like-minded thinkers. (shrink)

Bertrand Russell argued that any attempt to get rid of universals in favor of resemblances fails. He argued that no resemblance theory could avoid postulating a universal of resemblance without falling prey to a vicious infinite regress. He added that admitting such a universal of resemblance made it pointless to avoid other universals. In this paper I defend resemblance nominalism from both of Russell's points by arguing that (a) resemblance nominalism can avoid the postulation of a universal of resemblance (...) without falling into a vicious infinite regress, and (b) even if resemblance nominalism had to admit a universal of resemblance, this would not make it pointless to avoid postulating other universals. (shrink)

The standard, foundationalist reading of Our Knowledge of the External World requires Russell to have a view of perceptual acquaintance that he demonstrably does not have. Russell’s actual purpose in “constructing” physical bodies out of sense-data is instead to show that psychology and physics are consistent. But how seriously engaged was Russell with actual psychology? I show that OKEW makes some non-trivial assumptions about the character of visual space, and I argue that he drew those assumptions from William James’s Principles. (...) This point helps us take a fresh look at the complex relationship between the two men. In light of this surprising background of agreement, I highlight ways their more general approaches to perception finally diverged in ways that put the two at epistemological odds. (shrink)

Bertrand Russell was one of the protagonists of the programme of reducing “disagreeable” concepts to philosophically more respectable ones. Throughout his life he was engaged in eliminating or paraphrasing away a copious variety of allegedly dubious concepts: propositions, definite descriptions, knowing subjects, and points, among others. The critical aim of this paper is to show that Russell’s construction of points, which has been considered as a paradigm of a logical construction überhaupt, fails for principal mathematical reasons. Russell could have (...) known this, if he had taken into account some pertinent results due to Hausdorff or Tarski. Its constructive aim is to show that one can save Russell’s thesis – that points can be defined in terms of events or regions – by using the conceptual resources of modern pointless topology. (shrink)

In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor’s theorem, its proof, how it can be used to (...) manufacture paradoxes, Frege’s diagnosis of the core difficulty, and several broad categories of strategies for offering solutions to these paradoxes. (shrink)