We discuss recent progress in the development of cognitive ontologies and summarize three challenges in the coordinated development and application of these resources. Challenge 1 is to adopt a standardized definition for cognitive processes. We describe three possibilities and recommend one that is consistent with the standard view in cognitive and biomedical sciences. Challenge 2 is harmonization. Gaps and conflicts in representation must be resolved so that these resources can be combined for mark-up and interpretation of multi-modal data. Finally, Challenge (...) 3 is to test the utility of these resources for large-scale annotation of data, search and query, and knowledge discovery and integration. As term definitions are tested and revised, harmonization should enable coordinated updates across ontologies. However, the true test of these definitions will be in their community-wide adoption which will test whether they support valid inferences about psychological and neuroscientific data. (shrink)

We discuss recent progress in the development of cognitive ontologies and summarize three challenges in the coordinated development and application of these resources. Challenge 1 is to adopt a standardized definition for cognitive processes. We describe three possibilities and recommend one that is consistent with the standard view in cognitive and biomedical sciences. Challenge 2 is harmonization. Gaps and conflicts in representation must be resolved so that these resources can be combined for mark-up and interpretation of multi-modal data. Finally, Challenge (...) 3 is to test the utility of these resources for large-scale annotation of data, search and query, and knowledge discovery and integration. As term definitions are tested and revised, harmonization should enable coordinated updates across ontologies. However, the true test of these definitions will be in their community-wide adoption which will test whether they support valid inferences about psychological and neuroscientific data. (shrink)

Contents: Introduction / Naïve Logicism / Restricted Logicism / Metaphysics (Early, Middle, Late) / Knowledge (Early, Middle, Late) / Language (Early, Middle, Late) / The Infinite.

With the release of Laudato Si (2015) Pope Francis has introduced new conceptual language into Catholic social teaching (CST), what he has called "integral ecology." His intent appears to be grounded in the realization that "It is essential to seek comprehensive solutions which consider the interactions with natural systems themselves and with social systems" (LS, no. CXXXVIII). Pope Francis goes on to make the case that ''We are faced not with two separate crises, one environmental and the other social, but (...) rather with one complex crisis with isboth social and environmental" (LS, no. CXXXVIII). Consequently, in order to solve this crisis we need to utilize "an integrated approach to combating poverty, restoring dignity to the excluded, and at the same time pro­ tecting nature" (LS, no. CXXXVlll). This perspective represents a major development in CST whereby the encyclical connects the dots between ecology/environment, economics and society, three essential aspects of what many in the environmental community and elsewhere see as in­ dispensable for humanity to achieve a sustainable relationship with the Earth. While this is extremely important for articulating a Catholic vision of sustainability, that is not the direction we take in this article. Rather our intent is to use the concept of integral ecology to do three things:(1) examine a current case in the U.S. that has received signif­ icant media attention as well as notoriety-the water crisis in Flint, Michigan; (2) describe how our recent understanding of the epigenetic impacts of environmental toxins casts a new and ominous light on this crisis and on other instances of environmental toxin exposure, and (3) propose some ideas on how epigenetic research might enlarge our in­ terpretation of basic aspects of CST highlighted in Laudato Si such as human dignity, justice and the common good. (shrink)

Il est rare, en philosophie, qu'on rencontre un problème ayant reçu une solution définitive. Dans le cadre de la philosophie contemporaine du langage, cependant, la critique de Russell à Meinong fait souvent figure d'exception à la règle - ce que l'on ne peut, eu égard à certains aspects de la philosophie de Meinong, que déplorer. Selon l'interprétation courante, la théorie des descriptions définies de Russell - que Ramsey qualifia de “paradigme de philosophie” - aurait mis hors jeu une (...) fois pour toutes la doctrine ontologique de Meinong, caractérisée par des thèses d’apparence paradoxale telles que : “il y a des choses telles qu’il n’y a pas de telles choses”, “l’objet est au-delà de l’être et du non-être”, “l’être-ainsi [le fait d’avoir des propriétés] précède l’existence (Dasein)”. Récemment pourtant, on a tenté, de toutes parts, de faire revivre la doctrine meinongienne. Je pense ici aux diverses propositions, toutes d’inspiration meinongienne, avancées par Castañeda 1989, Parsons 1980, Rapaport 1978, Routley 1980 et Zalta 1983. Mais bien que toutes ces propositions aient développé certaines intuitions meinongiennes de manière certainement plus raffinée d’un point de vue formel que Meinong lui-même, elles ont été perçues comme de purs modèles théoriques sans aucun doute intéressants, mais incapables en tant que tels de déplacer les termes de la question, comme Russell l’avait fait à l’égard de Meinong. Ainsi naît l’exigence de repenser le thème complet et d’évaluer dans quelle mesure la critique de Russell pose vraiment de sérieuses difficultés aux thèses meinongiennes. Nous verrons ainsi ce qu’il faut, dans ces dernières, considérer comme mort, et ce qui, au contraire, jouit toujours d'une validité objective. Si ce qui suit est plausible, nous découvrirons que ces thèses résistent pour la plupart aux critiques de Russell, à condition qu’on les considère de façon adéquate. (shrink)

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

Fregean theories of descriptions as terms have to deal with improper descriptions. To save bivalence various proposals have been made that involve assigning referents to improper descriptions. While bivalence is indeed saved, there is a price to be paid. Instantiations of the same general scheme, viz. the one and only individual that is F and G is G, are not only allowed but even required to have different truth values.

It would be an understatement to say that Russell was interested in Cantorian diagonal paradoxes. His discovery of the various versions of Russell’s paradox—the classes version, the predicates version, the propositional functions version—had a lasting effect on his views in philosophical logic. Similar Cantorian paradoxes regarding propositions—such as that discussed in §500 of The Principles of Mathematics—were surely among the reasons Russell eventually abandoned his ontology of propositions.1 However, Russell’s reasons for abandoning what he called “denoting (...) concepts”, and his rejection of similar “semantic dualisms” such as Frege’s theory of sense and reference—at least in “On Denoting”—made no explicit mention of any Cantorian paradox. My aim in this paper is to argue that such paradoxes do pose a problem for certain theories such as Frege’s, and early Russell’s, about how definite descriptions are meaningful. My first aim is simply to lay out the problem I have in mind. Next, I shall turn to arguing that the theories of descriptions endorsed by Frege and by Russell prior to “On Denoting” are susceptible to the problem. Finally, I explore what responses a.. (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)

Enactivists frequently argue their account heralds a revolution in cognitive science: enactivism will unseat cognitivism as the dominant paradigm. We examine the lines of reasoning enactivists employ in stirring revolt, but show that none of these prove compelling reasons for cognitivism to be replaced by enactivism. First, we examine the hard sell of enactivism: enactivism reveals a critical explanatory gap at the heart of cognitivism. We show that enactivism does not meet the requirements to incite a paradigm shift in the (...) Kuhnian sense—there is no internal crisis in cognitivism. Nor does it provide inherently better explanations of cognition as some have claimed. Second, we consider the soft sell of enactivism: enactivism provides a more attractive, parsimonious, or clear-eyed lens on cognition. This move proves to boil down to a misunderstanding of how theories are selected in science. Instead we lend support to a broader and more desirable way to conceive of enactivism, the recent proposal that enactivism is a philosophy of nature. We explain how a philosophy of nature does more than support a single research paradigm by integrating scientific questions into a cohesive picture. (shrink)

A resolution to the Russell Paradox is presented that is similar to Russell's “theory of types” method but is instead based on the definition of why a thing exists as described in previous work by this author. In that work, it was proposed that a thing exists if it is a grouping tying "stuff" together into a new unit whole. In tying stuff together, this grouping defines what is contained within the new existent entity. A corollary is that (...) a thing, such as a set, does not exist until after the stuff is tied together, or said another way, until what is contained within is completely defined. A second corollary is that after a grouping defining what is contained within is present and the thing exists, if one then alters what is tied together (e.g., alters what is contained within), the first existent entity is destroyed and a different existent entity is created. A third corollary is that a thing exists only where and when its grouping exists. Based on this, the Russell Paradox's set R of all sets that aren't members of themselves does not even exist until after the list of the elements it contains (e.g. the list of all sets that aren't members of themselves) is defined. Once this list of elements is completely defined, R then springs into existence. Therefore, because it doesn't exist until after its list of elements is defined, R obviously can't be in this list of elements and, thus, cannot be a member of itself; so, the paradox is resolved. This same type of reasoning is then applied to Godel's first Incompleteness Theorem. Briefly, while writing a Godel Sentence, one makes reference to a future, not yet completed and not yet existent sentence, G, that claims its unprovability. However, only once the sentence is finished does it become a new unit whole and existent entity called sentence G. If one then goes back in and replaces the reference to the future sentence with the future sentence itself, a totally different sentence, G1, is created. This new sentence G1 does not assert its unprovability. An objection might be that all the possibly infinite number of possible G-type sentences or their corresponding Godel numbers already exist somehow, so one doesn't have to worry about references to future sentences and springing into existence. But, if so, where do they exist? If they exist in a Platonic realm, where is this realm? If they exist pre-formed in the mind, this would seem to require a possibly infinite-sized brain to hold all these sentences. This is not the case. What does exist in the mind is the system for creating G-type sentences and their corresponding numbers. This mental system for making a G-type sentence is not the same as the G-type sentence itself just as an assembly line is not the same as a finished car. In conclusion, a new resolution of the Russell Paradox and some issues with proofs of Godel's First Incompleteness Theorem are described. (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)

The aim of this essay is to analyze the concept of acquaintance in the philosophy of Bertrand Russell. First, Russell’s epistemological program and works are presented in a general manner. Then, the concept of acquaintance is defined and characterized, as well as the so-called principle of acquaintance. After that, acquaintance is placed in Russell’s epistemology as the core of his theory of knowledge. Finally, I will make some critical remarks concerning the role of acquaintance in Russell’s (...) epistemological framework. (shrink)

We analyze the logical form of the domain knowledge that grounds analogical inferences and generalizations from a single instance. The form of the assumptions which justify analogies is given schematically as the "determination rule", so called because it expresses the relation of one set of variables determining the values of another set. The determination relation is a logical generalization of the different types of dependency relations defined in database theory. Specifically, we define determination as a relation between schemata of first (...) order logic that have two kinds of free variables: (1) object variables and (2) what we call "polar" variables, which hold the place of truth values. Determination rules facilitate sound rule inference and valid conclusions projected by analogy from single instances, without implying what the conclusion should be prior to an inspection of the instance. They also provide a way to specify what information is sufficiently relevant to decide a question, prior to knowledge of the answer to the question. (shrink)

In this book, Russell examines Hume's notion of free will and moral responsibility. It is widely held that Hume presents us with a classic statement of a compatibilist position--that freedom and responsibility can be reconciled with causation and, indeed, actually require it. Russell argues that this is a distortion of Hume's view, because it overlooks the crucial role of moral sentiment in Hume's picture of human nature. Hume was concerned to describe the regular mechanisms which generate moral sentiments (...) such as responsibility, and Russell argues that his conception of free will must be interprted within this naturalistic framework. He goes on to discuss Hume's views about the nature and character of moral sentiment; the extent to which we have control over our moral character; and the justification of punishment. Throughout, Russell argues that the naturalistic avenue of interpretation of Hume's thought, far from draining it of its contemporary interest and significance, reveals it to be of great relevance to the ongoing contemporary debate - particuarly in relation to the views of P.F. Strawson and his influential paper "Freedom and Resentment". (shrink)

Recasting Hume and Early Modern Philosophy is a collection of essays that are all concerned with major figures and topics in the early modern philosophy. Most of the essays are concerned, more specifically, with the philosophy of David Hume (1711-1776). The sixteen essays included in this collection are divided into five parts. These parts are arranged under the headings of: (1) Metaphysics and Epistemology; (2) Free Will and Moral Luck; (3) Ethics, Virtue and Optimism; (4) Skepticism, Religion and Atheism; and (...) (5) Irreligion and the Unity of Hume’s Thought. A particularly important theme running through many of these essays is the subject of Hume’s irreligious aims and intentions. The fifth and final part of the collection is devoted to an articulation and defence of this specific understanding of Hume’s philosophical thought. (shrink)

In the replies to my critics that follow I offer a more detailed account of the specific papers that they discuss or examine. The papers that they are especially concerned with are: “The Material World and Natural Religion in Hume’s Treatise” (Ryan) [Essay 3], “Hume’s Skepticism and the Problem of Atheism” (Fosl) [Essay 12], and “Hume’s Philosophy of Irreligion and the Myth of British Empiricism (Gautier) [Essay 16].

Mr. Russell’s Problems of Philosophy is generally considered a classic text within the history of philosophy. This is, however, not the case: every ‘original’ idea therein had been presented by Mr. Russell previously; the book is replete with unoriginal ideas; and a great deal of everything that is considered ‘philosophy’ is ignored in the book. The problematics under discussion are, ultimately, only those of Mr. Russell’s own understanding of philosophy which, as Analytic Philosophy, is quite narrow. Furthermore, (...) what Mr. Russell says in the book is not without its opponents. (shrink)

This paper presents a detailed exegesis of Russell’s “Gray’s Elegy Argument”. It holds that the GEA mounts a successful attack on Frege—a thesis that has been widely controverted in the literature. The point of departure for my interpretation is Russell’s charge that it is impossible to speak about Sinne, or “meanings” as Russell calls them. I argue that the charge concerns the construction of an “ideal language.” For Russell, an ideal language is an artificial schema designed (...) to represent the truth-makers for sentences occurring in natural language. Its signs stand for the entities that are constituents of those truth-makers. Russell’s charge can thus be expressed more clearly and completely as follows: an ideal language designed to express Frege’s ontology requires signs for meanings ; however, the signs introduced for that purpose cannot be correlated with the entities they are supposed to represent. Thus, the requirement cannot be met. (shrink)

É bem conhecida a divergência entre as posições de Gottlob Frege e Bertrand Russell com relação ao tratamento semântico dado a sentenças contendo termos singulares indefinidos, ou seja, termos singulares sem referência ou com referência ambígua, tais como ‘Papai Noel’ ou ‘o atual rei da França’ ou ‘1/0 ’ ou ‘√4’ ou ‘o autor de Principia Mathematica’. Para Frege, as sentenças da linguagem natural que contêm termos indefinidos não formam declarações e portanto não são nem verdadeiras nem falsas. Já (...) para as sentenças da matemática, Frege defende que elas precisam ser corrigidas através da convenção forçada de uma referência não ambígua. Russell, por outro lado, aceita os termos indefinidos e propõe, através de sua teoria das descrições definidas, uma maneira de avaliar as sentenças em que eles ocorrem; e Quine amplia a teoria de Russell para abranger também os nomes com problemas de referência. Na prática da matemática são comuns os termos singulares indefinidos, sem referência, tais como ‘1/0 ’, ou com referência ambígua, tais como ‘√4’. Apesar de não haver uma sistematização rigorosa desta situação entre os matemáticos, há, no entanto, um conjunto de regras convencionais que tradicionalmente costumam ser aplicadas no tratamento matemático dos termos indefinidos. Nossa proposta é tomar a convenção matemática como inspiração e modelo para apresentar uma interpretação semântica formal para as descrições definidas e os nomes e utilizá-la como um argumento que favorece a abordagem de Russell relativamente à de Frege. (shrink)

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.

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 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)

In 1911, Bergson visited Britain for a number of lectures which led to his increasing popularity. Russell personally encountered Bergson during his lecture at University College London on the 28th of October, and on the 30th of October Bergson attended one of Russell’s lectures. Russell went on to write a number of critical articles on Bergson, contributing to the hundreds of publications on Bergson which ensued following these lectures. Russell’s critical writings have been seen as part (...) of a history of controversies between so-called ‘Continental’ and ‘Analytic’ philosophers in the twentieth century. Yet Russell’s engagement with Bergson’s thought comes as a response to a particular British form of Bergsonism and is involved with the wider phenomenon of the British import of Bergsonism (by figures connected in different ways to Russell, such as Hulme, Wildon Carr or Eliot). Though this may challenge the view of Russell and Bergson as enacting an early version of the ‘Analytic’-‘Continental’ divide, there are however some particular characterisations of Bergson by Russell which contribute to the subsequent formation of the ‘rotten scene’ (Glendinning 2006: 69) of the divide in the second half of the twentieth century. (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)

Andre Willis argues that although Hume is generally credited with being a “devastating critic” of religion, it is a mistake to view Hume solely in these terms or to present him as an “atheist.” This not only represents a failure to appreciate Hume’s “middle path” between “militant atheists and evangelical theists”, it denies us an opportunity to “enhance” our understanding and appreciation of the positive, constructive value of religion through a close study of Hume’s views. Willis’s study presents Hume as (...) committed to a “bifurcated approach to religion” that rests on the fundamental distinction between “false religion” and “true religion”. False religion, which includes Christianity, is a... (shrink)

My concern in this paper is both modest and limited. It is simply to draw the attention of Hume scholars to a largely neglected but nevertheless very interesting remark which Samuel Johnson passed about the Hobbist nature of Hume's political outlook. Furthermore, as I will show, Johnson's remark may also be interpreted as touching on matters of deeper and wider significance for an understanding of Hume's philosophy.

In laying out his theory of public reason, John Rawls is adamant that there be a clear distinction between private and public reason. Rawls says that political society under the theory of political liberalism is not an association. Associations, he says, are private communities, and the domain of private reason. Private reason, furthermore, occurs in the domain of private associations. Public reason, however, occurs beyond the scope of private associations, in an overlapping domain of shared reasons. In fact, Rawls says (...) that public reasons are not bound by association at all. But I think this conceptual move is not necessary. I will argue that public reason, as Rawls describes it, does occur in the context of a public association, which is an association of individual citizens who share certain – specific ends – as shown by the concept of the overlapping consensus, amongst other components of the theory. There are ends of which the public agree, and those are the ends laid out by the principles of the political conception, which are expressed with the association of an overlapping consensus, realm of public reason, and in a minimum of requisite shared values, history, education, and other forms of ideas that are meant to bond citizens by public association, which makes public reason possible under the theory of public reason. (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)

In his The Problems of Philosophy Bertrand Russell presents us with his famous argument for representative realism. After a clear and accessible analysis of sensations, qualities and the multiplicity of perceptions of the qualities of physical objects, Russell concludes with a bold statement: -/- "The real table, if there is one, is not immediately known to us at all, but must be an inference from what is immediately known". -/- My argument and analysis strongly suggests that the conclusion (...) that Russell reaches in his argument is counterintuitive and incoherent. The philosophical statement that he presents on the table, in the opening pages of his famous Problems argument is fundamentally misconstrued, and as it stands, it is logically unacceptable. (shrink)

There are some necessary conditions on causal relations that seem to be so trivial that they do not merit further inquiry. Many philosophers assume that the requirement that there could be no temporal gaps between causes and their effects is such a condition. Bertrand Russell disagrees. In this paper, an in-depth discussion of Russell’s argument against this necessary condition is the centerpiece of an analysis of what is at stake when one accepts or denies that there can be (...) temporal gaps between causes and effects. It is argued that whether one accepts or denies this condition, one is implicated in taking on substantial and wide-ranging philosophical positions. Therefore, it is not a trivial necessary condition of causal relations and it merits further inquiry. (shrink)

When Bernard Williams died in June 2003, the obituary in The Times said that “he will be remembered as the most brilliant and most important British moral philosopher of his time”. It goes on to make clear that Williams was far from the dry, awkward, detached academic philosopher of caricature. -/- Born in Essex in 1929, Williams had an extraordinary and, in some respects, glamorous life. He not only enjoyed a stellar academic career – holding a series of distinguished posts (...) at Oxford, UCL, Cambridge and Berkeley – but was also a public figure in British political and cultural life. He played, for example, a leading role in several high profile government committees and reports, and served for almost two decades on the board of the English National Opera. He had, moreover, an easy confidence and charm, a lucidity of expression, and a sharp and, at times, acerbic wit (which could alarm both friends and foes alike). -/- Although these achievements and qualities are impressive, what he will be remembered for chiefly is his significant contribution to philosophy, which spanned a wide spectrum of topics. It is in the field of ethics, in particular, that his contributions are of the most lasting importance. And yet there is a real sense in which he remains a rather enigmatic figure – and the interpretation of his work continues to be a matter of considerable debate.... (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)

Widespread global interest and adoption of deliberative democracy approaches to reinvigorate citi- zenship and policymaking in an era of democratic crisis/decline has been mirrored by increasing interest in deliberation in schools, both as an approach to pedagogy and student empowerment and as a training ground for deliberative citizenship. In school deliberation, as in other settings, a key and sometimes neglected element of high-quality deliberation is facilitation. Facilitation can help to establish and maintain deliberative norms, assist participants to deliberate productively, and (...) enable collective goals. By participating in facilitated deliberation, students can develop awareness, skills, and voice that empower them to engage with democracy, in school and beyond. This article draws on our experience as scholar/practitioners running a Deliberation in Schools program in Australia to explore challenges and strategies for deliberative facilitation. The challenges we discuss are power, inequality, diversity of expression and knowledge, and disagreement and these are discussed in the general context of inclusiveness. We highlight two facets of deliberative facilitation—technique and design—that are important for dealing with these challenges and increasing inclusion in school delib- eration and in democratic deliberation more generally. (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)

Russell corresponded with Sir Michael Dummett (1925–2011) between 1953 and 1963 while the latter was working on a book on Frege, eventually published as Frege: Philosophy of Language (1973). In their letters they discuss Russell’s correspondence with Frege, translating it into English, as well as Frege’s attempted solution to Russell’s paradox in the appendix to vol. 2 of his Grundgesetze der Arithmetik. After Dummett visited the University of Münster to view Frege’s Nachlaß, he sent reports back to (...) Russell concerning both the philosophical materials Frege left behind, as well as information from Frege’s journal revealing his anti-semitic political opinions. Their interaction contains interpretive conjectures and insights on Dummett’s side, and some dark humor on Russell’s. (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)

Russell is often taken as a forerunner of the Quinean position that “to be is to be the value of a bound variable”, whereupon the ontological commitment of a theory is given by what it quantifies over. Among other reasons, Russell was among the first to suggest that all existence statements should be analyzed by means of existential quantification. That there was more to Russell’s metaphysics than what existential quantifications come out as true is obvious in the (...) earlier period where Russell still made a distinction between existence and being/subsistence. But even the later Russell, including that of the Logical Atomism lectures period, would not have understood ontological questions to be first and foremost questions of quantification. He would take fundamentality to be important too, which explains in part his assertions to the effect the the values of individual variables have a reality not attributable to values of higher-order variables, even ineliminable higher-order variables. (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)

Allen Buchanan and Russel Powell’s The Evolution of Moral Progress (EMP) is likely to become a landmark. It adeptly builds on much of the recent empirical work, weaving it together with philosophical material drawn from a series of essays published by the two authors. EMP makes the case that moral progress is not only consistent with human psychology but—under some conditions—likely. At its heart is a careful, well-developed rebuttal to the idea that there are evolved constraints endogenous to human minds (...) that place significant limits on various forms of moral progress, especially on the spread and sustainability of inclusive values. The alternative picture they present acknowledges that evolutionary history has shaped how our minds produce behaviour, but emphasizes that the contexts in which they currently operate are just as pivotal. While safe and stable ecological and social circumstances are hospitable to cosmopolitanism and encouraging of inclusive values, dangerous and threatening circumstances are more favourable to parochialism, exclusivist values, and morally regressive outgroup hostility (also see Buchanan and Powell [2015], [2016], [2017]). Overall, EMP is a compelling, well-researched, and timely book. It articulates arguably the most persuasive naturalistic theory of moral progress to date, and lays the groundwork for important and impactful research. (shrink)

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 therein. (shrink)

Wittgenstein held that Russell’s multiple relation theory of judgment fails to explain an atomic judgment’s representation of entities as combined. He demonstrated this failure as follows. Under the multiple relation theory, an atomic judgment is a complex whose relating relation is judgment, the universal, and whose terms include the entities the judgment represents as combined. Taking such a complex we may arrive through the substitution of constituents at a complex whose relating relation is again judgment but whose terms do (...) not include entities which are logically suited for combination. This second judgment complex will not represent any of its terms as combined, for entities that are logically uncombinable are unrepresentable as combined. Russell’s theory does not, however, explain how the original judgment differs from the complex arrived at by the substitution of constituents such that the former but not the latter represents certain of its terms as combined. (shrink)

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

In his note 'Paul Russell on Hume's "Reconciling Project"' {Mind, 1984, pp. 587-8) Professor Flew makes two criticisms of my note 'On the Naturalism of Hume's "Reconciling Project"' {Mind, 1983, pp. 593-600). They are: (1) that 'nowhere does Russell take note of the fact that Hume left us two treatments "Of Liberty and Necessity", two treatments which are at least in emphases andtone of presentation very different'; and (2) that I must be 'prepared to offer and to defend (...) some alternative reading' of the first three paragraphs of the first Enquiry discussion 'Of Liberty and Necessity' where Hume suggests that 'the wholecontroversy has hitherto turned merely upon words' {EHU, p. 81—my emphasis: this and later page references are to the Selby-Bigge editions). As regards the first criticism, I refer the reader to my second footnote where I do in fact, quite explicitly, note that Hume left us two treatments 'Of Liberty and Necessity'. In this footnote I point out that my description of Hume's arguments as compattbtltst arguments 'accords somewhat more with the "reconciling" spirit of the Enquiry than with that of the Treatise where Hume tends to identify liberty with liberty of indifference' (p. 593). Obviously in any discussion note there is limited space, and therefore I could not discuss at length complexities which were not of immediate relevance to my alternative interpretation. However, contrary to what Flew claims, I do mention that there are two treatments and that they differ in emphases and tone. (shrink)

Interdisciplinarity is widely promulgated as beneficial to science and society. However, there are three quite serious problems which can limit the success of any interdisciplinary research collaboration. The first problem is expertise (it takes years of effort to cultivate a deep knowledge of even one discipline). The second problem is comprehensibility (experts in different disciplines do not reliably understand each other). The third problem is service (in a given interdisciplinary endeavour, it often occurs that one discipline benefits and the other (...) discipline does not benefit). This essay is an elaboration of these three problems. Parallels are drawn between translation between languages and translation between disciplines. (shrink)

In 1903, in _The Principles of Mathematics_ (_PoM_), Russell endorsed an account of classes whereupon a class fundamentally is to be considered many things, and not one, and used this thesis to explicate his first version of a theory of types, adding that it formed the logical justification for the grammatical distinction between singular and plural. The view, however, was short-lived; rejected before _PoM_ even appeared in print. However, aside from mentions of a few misgivings, there is little evidence (...) about why he abandoned this view. In this paper, I speculate as to what those reasons were, and evaluate them in light of recent work and interest in plural logic. (shrink)