Part one. The Dunayevskaya-Marcuse correspondence, 1954-78: the early letters: debating Marxist dialectics and Hegel's absolute idea; Dunayevskaya's Marxism and freedom and beyond; on technology and work on the eve of Marcuse's One-dimensional man; the later correspondence: winding down during the period of the New Left -- Part two. The Dunayevskaya-Fromm correspondence, 1959-78: the early letters: on Fromm's Marx's concept of man and his socialist humanism symposium; dialogue on Marcuse, on existentialism, and on socialist humanism in Eastern Europe; on Hegel, Marxism, (...) and the Frankfurt School in the period of Dunayevskaya's philosophy and revolution; the final letters: on critical theory and on Rosa Luxemburg, gender, and revolution. (shrink)

Critical pedagogy is an optimistic approach for achieving transformative agency, which remains an elusive and vital aspect of civic education. Therefore, the purpose of this study was to examine the pedagogical approach of three critically identifying teachers. Specifically, this study was interested in understanding participant teacher critically civic ontological postures. The posture implies an understanding of the power inherent to civic relation and pedagogy. Participant teachers uniquely demonstrated postures that allowed them to address conceptual, personal, and material aspects of civics (...) education. Participants achieved this first by making clear temporal connections between citizenship and disciplines; second, by incorporating student experiences; and lastly by utilizing a range of instructional approaches to negate traditional civic archetypes. Findings suggest that critical civic ontological postures are dynamic, contextual, and disciplinarily situated. Authentically critically civic ontological postures include developing intellectual solidarity with students and those in educational communities. (shrink)

In this piece, the author examined the impact of ideology, experience, and privilege on pre-service Social Studies teacher disposition. Findings suggest that participants conceptually understood injustice and began to critique social antagonisms like whiteness and class. However, they continued reinforcing raced and classed ideologies in their interactions with those outside their group. When faced with the cognitive dissonance between stated ideology and their privileged position, the more liberal participants re-narrativize their political stances to adopt more critical ideological worldviews while maintaining (...) their privileged identities. More conservative participants disassociated themselves from more extreme aspects of U.S. conservative political ideology. Both groups maintained the ideologies that provided justification for social hierarchy. Upbringing/identity, understandings of power/hierarchy, emic cultural understandings, and a desire to live one’s ideology, or not, beyond the classroom, informed participant decition making. (shrink)

The use of Big Data—however the term is defined—involves a wide array of issues and stakeholders, thereby increasing numbers of complex decisions around issues including data acquisition, use, and sharing. Big Data is becoming a significant component of practice in an ever-increasing range of disciplines; however, since it is not a coherent “discipline” itself, specific codes of conduct for Big Data users and researchers do not exist. While many institutions have created, or will create, training opportunities to prepare people to (...) work in and around Big Data, insufficient time, space, and thought have been dedicated to training these people to engage with the ethical, legal, and social issues in this new domain. Since Big Data practitioners come from, and work in, diverse contexts, neither a relevant professional code of conduct nor specific formal ethics training are likely to be readily available. This normative paper describes an approach to conceptualizing ethical reasoning and integrating it into training for Big Data use and research. Our approach is based on a published framework that emphasizes ethical reasoning rather than topical knowledge. We describe the formation of professional community norms from two key disciplines that contribute to the emergent field of Big Data: computer science and statistics. Historical analogies from these professions suggest strategies for introducing trainees and orienting practitioners both to ethical reasoning and to a code of professional conduct itself. We include two semester course syllabi to strengthen our thesis that codes of conduct can be harnessed to support the development of ethical reasoning in, and a sense of professional identity among, Big Data practitioners. (shrink)

Why do voters seek to change the political landscape or to retain it? System justification theory proposes that a separate system motive to preserve the existing order drives support for the status-quo, and that this motivation operates independently from personal and collective interests. But how does this explanation apply to recent populist shifts in the political order such as Brexit and the emergence of Donald Trump? While the system motive may seem useful in understanding why the usual progressives may want (...) to stick with an established order, it seems insufficient to explain why the more conservative voters would want to upend the establishment. Thus, we compared SJT’s system motive explanation for the system attitudes of voters on both sides of the political divide to an alternative explanation drawn from the newer social identity model of system attitudes. According to SIMSA, the difficulty in explaining the system attitudes of Brexit/Trump and Remain/Clinton voters from SJT’s system motive standpoint can be resolved by focusing instead on the collective interests that both camps seek to satisfy with their votes. We examined these explanations in two studies conducted soon after Brexit and Trump’s election in 2016, with results providing more support for SIMSA than for SJT. (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)

It is well known that the circumflex notation used by Russell and Whitehead to form complex function names in Principia Mathematica played a role in inspiring Alonzo Church's “lambda calculus” for functional logic developed in the 1920s and 1930s. Interestingly, earlier unpublished manuscripts written by Russell between 1903–1905—surely unknown to Church—contain a more extensive anticipation of the essential details of the lambda calculus. Russell also anticipated Schönfinkel's combinatory logic approach of treating multiargument functions as functions having other (...) functions as value. Russell’s work in this regard seems to have been largely inspired by Frege’s theory of functions and “value-ranges”. This system was discarded by Russell due to his abandonment of propositional functions as genuine entities as part of a new tack for solving Russell’s paradox. In this article, I explore the genesis and demise of Russell’s early anticipation of the lambda calculus. (shrink)

A summary of Russell’s logical atomism, understood to include both a metaphysical view and a certain methodology for doing philosophy. The metaphysical view amounts to the claim that the world consists of a plurality of independently existing things exhibiting qualities and standing in relations. The methodological view recommends a process of analysis, whereby one attempts to define or reconstruct more complex notions or vocabularies in terms of simpler ones. The origins of this theory, and its influence and reception are (...) also discussed. (shrink)

During the realist revival in the early years of this century, philosophers of various persuasions were concerned to investigate the ontology of truth. That is, whether or not they viewed truth as a correspondence, they were interested in the extent to which one needed to assume the existence of entities serving some role in accounting for the truth of sentences. Certain of these entities, such as the Sätze an sich of Bolzano, the Gedanken of Frege, or the propositions of (...) class='Hi'>Russell and Moore, were conceived as the bearers of the properties of truth and falsehood. Some thinkers however, such as Russell, Wittgenstein in the Tractatus, and Husserl in the Logische Untersuchungen, argued that instead of, or in addition to, truth-bearers, one must assume the existence of certain entities in virtue of which sentences and/or propositions are true. Various names were used for these entities, notably 'fact', 'Sachverhalt', and 'state of affairs'. (1) In order not to prejudge the suitability of these words we shall initially employ a more neutral terminology, calling any entities which are candidates for this role truth-makers. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show (...) that Russell did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (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)

Russell discovered the classes version of Russell's Paradox in spring 1901, and the predicates version near the same time. There is a problem, however, in dating the discovery of the propositional functions version. In 1906, Russell claimed he discovered it after May 1903, but this conflicts with the widespread belief that the functions version appears in _The Principles of Mathematics_, finished in late 1902. I argue that Russell's dating was accurate, and that the functions version does (...) not appear in the _Principles_. I distinguish the functions and predicates versions, give a novel reading of the _Principles_, section 85, as a paradox dealing with what Russell calls _assertions_, and show that Russell's logical notation in 1902 had no way of even formulating the functions version. The propositional functions version had its origins in the summer of 1903, soon after Russell's notation had changed in such a way as to make a formulation possible. (shrink)

Russell claims in his autobiography and elsewhere that he discovered his 1905 theory of descriptions while attempting to solve the logical and semantic paradoxes plaguing his work on the foundations of mathematics. In this paper, I hope to make the connection between his work on the paradoxes and the theory of descriptions and his theory of incomplete symbols generally clearer. In particular, I argue that the theory of descriptions arose from the realization that not only can a class not (...) be thought of as a single thing, neither can the meaning/intension of any expression capable of singling out one collection (class) of things as opposed to another. If this is right, it shows that Russell’s method of solving the logical paradoxes is wholly incompatible with anything like a Fregean dualism between sense and reference or meaning and denotation. I also discuss how this realization lead to modifications in his understanding of propositions and propositional functions, and suggest that Russell’s confrontation with these issues may be instructive for ongoing research. (shrink)

Russell McCutcheon is one of the foremost proponents of what he calls “the critical study of religion,” that is, the shift to reflect critically on the concepts used in the academic study of religion, who invented them, and why. The critical study of religion leads to the realization that the concepts with which we think were invented by particular people, at a particular historical location, for a particular purpose. What are the philosophical implications of this? McCutcheon defends a debunking (...) or non-realist answer and contrasts this with my realist approach, and he is right to do so. This paper argues that those involved in the critical study of religion therefore face a choice between a non-realist and a realist metaphysics, that McCutcheon’s arguments against realism fail, and that those who wish to offer any kind of materialist account in which religious social structures shape human agency and subjectivity should adopt a critical study of religion that is also realist. (shrink)

Sequel to Part I. 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 II addresses Russell’s own various attempts to (...) solve these paradoxes, including strategies that he considered and rejected (limitation of size, the zigzag theory, etc.), as well as his own final views whereupon many purported entities that, if reified, lead to these contradictions, must not be genuine entities, but ‘logical fictions’ or ‘logical constructions’ instead. (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)

Certain advocates of the so-called “neo-logicist” movement in the philosophy of mathematics identify themselves as “neo-Fregeans” (e.g., Hale and Wright), presenting an updated and revised version of Frege’s form of logicism. Russell’s form of logicism is scarcely discussed in this literature and, when it is, often dismissed as not really logicism at all (in light of its assumption of axioms of infinity, reducibility and so on). In this paper I have three aims: firstly, to identify more clearly the primary (...) meta-ontological and methodological differences between Russell’s logicism and the more recent forms; secondly, to argue that Russell’s form of logicism offers more elegant and satisfactory solutions to a variety of problems that continue to plague the neo-logicist movement (the bad company objection, the embarrassment of richness objection, worries about a bloated ontology, etc.); thirdly, to argue that neo-Russellian forms of logicism remain viable positions for current philosophers of mathematics. (shrink)

English summary: This volume reflects on the importance of two Austrian philosophers, Ludwig Wittgenstein and Edmund Husserl, and the Austro-German philosophy they inspired. French text. French description: La philosophie contemporaine doit beaucoup a deux philosophes autrichiens--Edmund Husserl et Ludwig Wittgenstein. Les problemes philosophiques que ce dernier a mis au centre de la philosophie analytique sont souvent des problemes nouveaux par rapport aux questions soulevees par les peres de cette tradition, Frege, Moore, Russell et Ramsey. Ils etaient pourtant au centre (...) des traditions, autrichiennes puis austro-allemandes, qui remontent a Bolzano et a Brentano : la psychologie descriptive des eleves de Brentano, la phenomenologie de Husserl et de ses premiers eleves et les differentes ecoles de la psychologie de la Gestalt. Ces problemes appartiennent a la philosophie de l'esprit et du langage : qu'est-ce que vouloir dire quelque chose, vouloir, vouloir faire, eprouver, compter sur une certitude primitive? Y-a-t-il des objets psychologiques ou mentaux prives? Je designet- il? Quel rapport y a-t-il entre le non-sens, la signification et les regles? Entre les regles et les signaux qui nous guident et les symboles qui representent? Les mentalismes, platonismes et essentialismes qui caracterisent souvent la philosophie austro-allemande tranchent avec le rejet systematique de tels ismes chez Wittgenstein. Il est cependant manifeste que ce dernier, comme ses predecesseurs et contemporains austro-allemands, met la description de l'esprit et du langage au coeur de ses reflexions. D'ou la question a laquelle repond cet ouvrage : les descriptions de Wittgenstein sont-elles meilleures que celles donnees par les heritiers de Bolzano et de Brentano? (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 clarifies that it was the works Giuseppe Peano and his school that first led Russell to embrace symbolic logic as a tool for understanding the foundations of mathematics, not those of Frege, who undertook a similar project starting earlier on. It also discusses Russell’s reaction to Peano’s logic and its influence on his own. However, the chapter also seeks to clarify how and in what ways Frege was influential on Russell’s views regarding such topics as (...) classes, functions, meaning and denotation, etc., and summarizes the correspondence between Frege and Russell and the light it sheds on the philosophical logic of both. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship (...) between propositional functions and universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and (...) others are given. It is in the end shown that developing Frege’s theory in these ways reveals serious problems hitherto largely unnoticed, including those possibly rendering a Fregean intensional logic inconsistent even if his naïve class theory is excluded. (shrink)

This chapter explores the metaphysical views about higher-order logic held by two individuals responsible for introducing it to philosophy: Gottlob Frege (1848–1925) and Bertrand Russell (1872–1970). Frege understood a function at first as the remainder of the content of a proposition when one component was taken out or seen as replaceable by others, and later as a mapping between objects. His logic employed second-order quantifiers ranging over such functions, and he saw a deep division in nature between objects and (...) functions. Russell understood propositional functions as what is obtained when constituents of propositions are replaced by variables, but eventually denied that they were entities in their own right. Both encountered contradictions when supposing there to exist as many objects as functions, and both adopted views about the meaningfulness of higher-order discourse that were difficult to state from within their own strictures. (shrink)

Phenomenology as practised by Adolf Reinach ( 1883-191 7) in his all too brief philosophical career exemplifies all the virtues of Husserl's Logical Investigations. It is sober, concerned to be clear and deals with specific problems. It is therefore understandable that, in a philosophical climate in which Husserl's masterpiece has come to be regarded as a mere stepping stone on the way to his later Phenomeno logy, or even to the writings of a Heidegger, Reinach's contributions to exact philo sophy (...) have been all but totally forgotten. The topics on which Reinach wrote most illuminatingly, speech acts (which he called 'social acts') and states of affairs (Sachverhalte ), as well as his realism about the external world, have come to be regarded as the preserve of other traditions of exact philosophy. Like my fellow contributors, I hope that the present volume will go some way towards correcting this unfortunate historical accident. Reinach's account of judgements and states of affairs, an account that precedes those of Russell and Wittgenstein, his 1913 treatment of speech acts, his reinter pretation of Hume and aspects of his legal philosophy are the main philosophical topics dealt with in what follows. But his analysis of deliberation as well as his work on movement and Zeno's paradoxes get only a passing mention. (shrink)

Along with offering an historically-oriented interpretive reconstruction of the syntax of PM ( rst ed.), I argue for a certain understanding of its use of propositional function abstracts formed by placing a circum ex on a variable. I argue that this notation is used in PM only when de nitions are stated schematically in the metalanguage, and in argument-position when higher-type variables are involved. My aim throughout is to explain how the usage of function abstracts as “terms” (loosely speaking) is (...) not inconsistent with a philosophy of types that does not think of propositional functions as mind- and language-independent objects, and adopts a nominalist/substitutional semantics instead. I contrast PM’s approach here both to function abstraction found in the typed λ-calculus, and also to Frege’s notation for functions of various levels that forgoes abstracts altogether, between which it is a kind of intermediary. (shrink)

The Russell-Myhill Antinomy, also known as the Principles of Mathematics Appendix B Paradox, is a contradiction that arises in the logical treatment of classes and "propositions", where "propositions" are understood as mind-independent and language-independent logical objects. If propositions are treated as objectively existing objects, then they can be members of classes. But propositions can also be about classes, including classes of propositions. Indeed, for each class of propositions, there is a proposition stating that all propositions in that class are (...) true. Propositions of this form are said to "assert the logical product" of their associated classes. Some such propositions are themselves in the class whose logical product they assert. For example, the proposition asserting that all-propositions-in-the- class-of-all-propositions-are-true is itself a proposition, and therefore it itself is in the class whose logical product it asserts. However, the proposition stating that all-propositions-in-the-null-class-are-true is not itself in the null class. Now consider the class w, consisting of all propositions that state the logical product of some class m in which they are not included. This w is itself a class of propositions, and so there is a proposition r, stating its logical product. The contradiction arises from asking the question of whether r is in the class w. It seems that r is in w just in case it is not. This antinomy was discovered by Bertrand Russell in 1902, a year after discovering a simpler paradox usually called Russell's paradox ". It was discussed informally in Appendix B of his 1903 Principles of Mathematics . In 1958, the antinomy was independently rediscovered by John Myhill, who found it to plague the "Logic of Sense and Denotation" developed by Alonzo Church. (shrink)

Fregeans face the difficulty finding a notation for distinguishing statements about the sense or meaning of an expression as opposed to its reference or denotation. Famously, in "On Denoting", Russell rejected methods that begin with an expression designating its denotation, and then alter it with a "the meaning of" operator to designate the meaning. Such methods attempt an impossible "backward road" from denotation to meaning. Contemporary neo-Fregeans, however, have suggested that we can disambiguate _with_, rather than _against_, the grain, (...) by using a notation that begins with expressions designating senses or meanings, and then alters them with a "the denotation of" operator to designate the denotation. I show that in his manuscripts of 1903–05, Russell both considered and rejected a similar notation along with the metaphysical suppositions underlying it. This discussion sheds light on the evolution of Russell's thought, and may yet be instructive for ongoing debates. (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)

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)

In this paper I explore a position on which it is possible to eliminate the need for postulating abstract objects through abstraction principles by treating terms for abstracta as ‘incomplete symbols’, using Russell's no-classes theory as a template from which to generalize. I defend views of this stripe against objections, most notably Richard Heck's charge that syntactic forms of nominalism cannot correctly deal with non-first-orderizable quantifcation over apparent abstracta. I further discuss how number theory may be developed in a (...) system treating apparent terms for numbers using these definitions. (shrink)

I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second-level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze, and, later, after learning (...) of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood. (shrink)

Review of Logic as Universal Science: Russell’s Early Logicism and Its Philosophical Context, by Anssi Korhonen (Palgrave Macmillan 2013).

The paper introduces a virtue-theoretic critique of recent “prosocial” revisions of shareholder primacy. The paper aims at widening the scope of virtue-based business ethics beyond its nearly exclusive focus on the character and virtue of managers, employees, and organizations. In contrast to MacIntyre-inspired research, the paper takes a “good intentions” approach that looks squarely at shareholders, regarding them as real people (not algorithms or institutions) occupying distinctive roles as principals of firms who are, ideally, virtuous moral agents. It is argued (...) that virtue ethics can play a part in questioning normative features of shareholder primacy and the objective function of the firm. Probing deeper than prudential and instrumental concerns, the paper poses normative questions about interpreting shareholder motivations: what _ought_ shareholders to prefer/want/desire?; _ought_ shareholders to desire profit maximization versus profit satisficing?; _ought_ shareholders to prefer other, prosocial goals, alongside of wealth?; should self-interested motivation in profit-seeking be considered virtuous? To lend focus, the paper taps Hart and Zingales’ recently revised “pro-social” version of shareholder primacy, as well as Munger and Russell’s analysis of “virtuous profit-seekers,” as normative frames of reference. Doing so enables a critical engagement with their respective accounts from the standpoint of virtue theory. Taking a “virtuous shareholders” perspective provides an aretaic standpoint, one that is appropriate, given that shareholders care about matters of justice and the common good. Shareholders are not simply concerned about making money. Hence it is the moral intentions and motivations of ideally virtuous shareholders which ought to modulate the profit-seeking activities of shareholders in accordance with maximizing their welfare. (shrink)

All except three of the papers in this volume were presented at the colloquium on "L'Ontologie formelle aujourd'hui", Geneva, 3-5 June 1988. The three exceptions, the papers by David Armstrong, Uwe Meixner and Wolfgang Lenzen, were presented at the colloquium on "Properties", Zinal, June 1-3, 1990. It was, incidentally, at the second of these two colloquia that the European Society for Analytic Philosophy came into being. The fathers of analytic philosophy - Moore and Russell - were in no doubt (...) that ontology or metaphysics as well as the topics oflanguage, truth and logic constituted the core subject-matter of their "analytic realism", 1 for the task of metaphysics as they conceived things was the description of 2 the world. And logic and ontology are indissolubly linked in the system of the grandfather of analytic philosophy, Frege. After the Golden Age of analytic philosophy - in Cambridge and Austria - opposition to realism as well as the "linguistic turn" contributed for a long time to the eclipse of ontology. 3 Thanks in large measure to the work of some of the senior contributors to the present volume - Roderick Chisholm, Herbert Hochberg, David Armstrong and Karel Lambert - ontology and metaphysics now enjoy once again the central position they occupied some eighty years ago in the heyday of analytic philosophy. (shrink)

Russell's paradox represents either of two interrelated logical antinomies. The most commonly discussed form is a contradiction arising in the logic of sets or classes. Some classes (or sets) seem to be members of themselves, while some do not. The class of all classes is itself a class, and so it seems to be in itself. The null or empty class, however, must not be a member of itself. However, suppose that we can form a class of all classes (...) (or sets) that, like the null class, are not included in themselves. The paradox arises from asking the question of whether this class is in itself. It is if and only if it is not. The other form is a contradiction involving properties. Some properties seem to apply to themselves, while others do not. The property of being a property is itself a property, while the property of being a cat is not itself a cat. Consider the property that something has just in case it is a property (like that of being a cat ) that does not apply to itself. Does this property apply to itself? Once again, from either assumption, the opposite follows. The paradox was named after Bertrand Russell, who discovered it in 1901. (shrink)

Logicism is the view that mathematical truths are logical truths. But a logical truth is commonly thought to be one with a universally valid form. The form of “7 > 5” would appear to be the same as “4 > 6”. Yet one is a mathematical truth, and the other not a truth at all. To preserve logicism, we must maintain that the two either are different subforms of the same generic form, or that their forms are not at all (...) what they appear. The historical record shows that Russell pursued both these options, but that the struggle with the logical paradoxes pushed him away from the first kind of response and toward the second. An object cannot itself have a kind of inner logical complexity that makes a proposition have a different logical form merely in virtue of being about it, nor can their representatives in logical forms be single things different for different forms, at least not without postulating too many such objects and thereby creating Cantorian diagonal paradoxes. There are only apparent objects which are actually fragments of logical forms, different in different cases. (shrink)

With selections from over 100 figures covering the 1560s to the 1960s, this two-volume work features writing from three continents, with sources including Voltaire, Benjamin Franklin, Ralph Waldo Emerson, Max Weber, Bertrand Russell, and Ezra Pound. Arranged chronologically, they represent methodologies that span philosophy, political science, religious studies, sociology, anthropology, economic theory, linguistics, missionary texts, and works of popular moralism. Together they reveal important ideological trends in Western attitudes toward China.

Portraits of Confucius presents a major collection of Western perspectives on Confucius and Confucianism, stretching from the Jesuit missions of the 16th-century to the dawn of modern cross-cultural scholarship in the early 20th-century. With selections from over 100 figures covering the 1580s to the 1950s, this two-volume work features writing from American and European sources including Benjamin Franklin, Thomas Paine, Friedrich Nietzsche, Ralph Waldo Emerson, Henry David Thoreau and Bertrand Russell. Arranged chronologically, they represent methodologies that span philosophy, political (...) science, religious studies, sociology, anthropology, economic theory, linguistics, missionary texts, and works of popular moralism. Together they reveal important ideological trends in Western attitudes toward China-with Confucius becoming positioned at different times as anti-Christian or nearly Christ-like, while Confucianism is interpreted as something positive the West needs to adopt or as something negative that must be opposed. For scholars and students interested in the life, work and teachings of Confucius and the West's reception of Chinese philosophy, this is an indispensable reference resource. (shrink)

This paper continues a thread in Analysis begun by Adam Rieger and Nicholas Denyer. Rieger argued that Frege’s theory of thoughts violates Cantor’s theorem by postulating as many thoughts as concepts. Denyer countered that Rieger’s construction could not show that the thoughts generated are always distinct for distinct concepts. By focusing on universally quantified thoughts, rather than thoughts that attribute a concept to an individual, I give a different construction that avoids Denyer’s problem. I also note that this problem for (...) Frege’s philosophy was discovered by Bertrand Russell as early as 1902 and has been discussed intermittently since. (shrink)

The discussions which follow rest on a distinction, first expounded by Husserl, between formal logic and formal ontology. The former concerns itself with (formal) meaning-structures; the latter with formal structures amongst objects and their parts. The paper attempts to show how, when formal ontological considerations are brought into play, contemporary extensionalist theories of part and whole, and above all the mereology of Leniewski, can be generalised to embrace not only relations between concrete objects and object-pieces, but also relations between what (...) we shall call dependent parts or moments. A two-dimensional formal language is canvassed for the resultant ontological theory, a language which owes more to the tradition of Euler, Boole and Venn than to the quantifier-centred languages which have predominated amongst analytic philosophers since the time of Frege and Russell. Analytic philosophical arguments against moments, and against the entire project of a formal ontology, are considered and rejected. The paper concludes with a brief account of some applications of the theory presented. (shrink)

Als zu Beginn des Jahrhunderts der Realismus wieder ernst genommen wurde, gab es viele Philosophen, die sich mit der Ontologie der Wahrheit befaßten. Unabhängig von der Bestimmung der Wahrheit als Korrespondenzbeziehung wollten sie herausfinden, inwieweit zur Erklärung der Wahrheit von Sätzen besondere Entitäten herangezogen werden müssen. Einige dieser Entitäten, so zum Beispiel Bolzanos ‘Sätze an sich’, Freges ‘Gedanken’ oder die ‘propositions’ von Russell und Moore, wurden als Träger der Eigenschaften Wahrheit und Falschheit aufgefaßt. Einige Philosophen jedoch, wie Russell, (...) Wittgenstein im ›Tractatus‹ und Husserl in den ›Logischen Untersuchungen‹, argumentierten, zusätzlich zu den Wahrheitsträgern bzw. an ihrer Stelle müßten Entitäten angenommen werden, auf Grund deren Sätze und/oder ‘Propositionen’ wahr sind. Solchen Entitäten gab man verschiedene Namen, insbesondere ‘fact’, ‘Tatsache’, ‘state of affairs’ und ‘Sachverhalt’. 1 Wir wollen einer Entscheidung über die Angebrachtheit dieser Ausdrücke nicht vorgreifen und daher zunächst eine neutralere Terminologie verwenden: Alle Entitäten, die für diese zweite Rolle in Frage kommen, wollen wir ‘Wahrmacher’ nennen. (shrink)

Als zu Beginn des Jahrhunderts der Realismus wieder ernst genommen wurde, gab es viele Philosophen, die sich mit der Ontologie der Wahrheit befaßten. Unabhängig von der Bestimmung der Wahrheit als Korrespondenzbeziehung wollten sie herausfinden, inwieweit zur Erklärung der Wahrheit von Sätzen besondere Entitäten herangezogen werden müssen. Einige dieser Entitäten, so zum Beispiel Bolzanos ‘Sätze an sich’, Freges ‘Gedanken’ oder die ‘propositions’ von Russell und Moore, wurden als Träger der Eigenschaften Wahrheit und Falschheit aufgefaßt. Einige Philosophen jedoch, wie Russell, (...) Wittgenstein im ›Tractatus‹ und Husserl in den ›Logischen Untersuchungen‹, argumentierten, zusätzlich zu den Wahrheitsträgern bzw. an ihrer Stelle müßten Entitäten angenommen werden, auf Grund deren Sätze und/oder ‘Propositionen’ wahr sind. Solchen Entitäten gab man verschiedene Namen, insbesondere ‘fact’, ‘Tatsache’, ‘state of affairs’ und ‘Sachverhalt’. 1 Wir wollen einer Entscheidung über die Angebrachtheit dieser Ausdrücke nicht vorgreifen und daher zunächst eine neutralere Terminologie verwenden: Alle Entitäten, die für diese zweite Rolle in Frage kommen, wollen wir ‘Wahrmacher’ nennen. (shrink)

I present and discuss three previously unpublished manuscripts written by Bertrand Russell in 1903, not included with similar manuscripts in Volume 4 of his Collected Papers. One is a one-page list of basic principles for his “functional theory” of May 1903, in which Russell partly anticipated the later Lambda Calculus. The next, catalogued under the title “Proof That No Function Takes All Values”, largely explores the status of Cantor’s proof that there is no greatest cardinal number in the (...) variation of the functional theory holding that only some but not all complexes can be analyzed into function and argument. The final manuscript, “Meaning and Denotation”, examines how his pre-1905 dis­tinction between meaning and denotation is to be understood with respect to functions and their arguments. In them, Russell seems to endorse an extensional view of functions not endorsed in other works prior to the 1920s. All three manuscripts illustrate the close connection between his work on the logical paradoxes and his work on the theory of meaning. (shrink)

Several interesting themes emerge from G. E. Moore’s previously unpub­lished review of _The Principles of Mathematics_. These include a worry concerning whether mathematical notions are identical to purely logical ones, even if coextensive logical ones exist. Another involves a conception of infinity based on endless series neglected in the Principles but arguably involved in Zeno’s paradox of Achilles and the Tortoise. Moore also questions the scope of Russell’s notion of material implication, and other aspects of Russell’s claim that (...) mathematics reduces to logic. (shrink)

In he Problems of Philosophy and other works of the same period, Russell claims that every proposition must contain at least one universal. Even fully general propositions of logic are claimed to contain “abstract logical universals”, and our knowledge of logical truths claimed to be a species of a priori knowledge of universals. However, these views are in considerable tension with Russell’s own philosophy of logic and mathematics as presented in Principia Mathematica. Universals generally are qualities and relations, (...) but if, for example, PM’s disjunction (∨) is a relation, what is it a relation between? There is no obvious answer to this given Russell’s other philosophical commitments at this time, although hints are left in some of the pre-PM manuscripts. In this paper, I explore this tension in Russell's philosophy and relate it to developments both before and after Problems. (shrink)

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)

Analytic philosophy has been perhaps the most successful philosophical movement of the twentieth century. While there is no one doctrine that defines it, one of the most salient features of analytic philosophy is its reliance on contemporary logic, the logic that had its origin in the works of George Boole and Gottlob Frege and others in the mid‐to‐late nineteenth century. Boolean algebra, the heart of Boole's contributions to logic, has also come to represent a cornerstone of modern computing. Frege had (...) broad philosophical interests, and his writings on the nature of logical form, meaning and truth remain the subject of intense theoretical discussion, especially in the analytic tradition. Frege's works, and the powerful new logical calculi developed at the end of the nineteenth century, influenced many of its most seminal figures, such as Bertrand Russell, Ludwig Wittgenstein and Rudolf Carnap. (shrink)

At the turn of the century, Russell, Husserl and Couturat singled out Leibniz the logician as an important precursor of the way they thought philosophy should be done. Like their most gifted contemporaries they conceived of philosophy as essentially argumentative and - as Russell put it in a 1911 talk in French - analytic. Unsurprisingly, the search for the best arguments and analyses meant that good philosophy was cosmopolitan. William James and Ernst Mach were read everywhere. James studied (...) Mach and the pupils of Brentano, whom Stout introduced to Cambridge. Moore recognised the deep kinship between his work on ethics and that of Brentano. Russell was influenced by Peano, used and criticised Meinong and was attacked by Poincaré. Pragmatism was subjected to a series of criticisms by realists in German and in English but gradually began to win adherents, for example in Italy, where Vailati and Calderoni introduced both pragmatism and Austrian philosophy of mind. (shrink)