Traditional descriptivism and Kripkean causalism are standardly interpreted as rival theories on a single topic. I argue that there is no such shared topic, i.e. that there is no question that they can be interpreted as giving rival answers to. The only way to make sense of the commitment to epistemic transparency that characterizes traditional descriptivism is to interpret Russell and Frege as proposing rival accounts of how to characterize a subject’s beliefs about what names refer to. My (...) argument relies on a development of the distinction between speaker’s reference and semantic reference. (shrink)

JOURNAL OF THE HISTORY OF PHILOSOPHY PRIZE for the best published book in the history of philosophy [Awarded in 2010] _______________ -/- Although it is widely recognized that David Hume's A Treatise of Human Nature (1739-40) belongs among the greatest works of philosophy, there is little agreement about the correct way to interpret his fundamental intentions. It is an established orthodoxy among almost all commentators that skepticism and naturalism are the two dominant themes in this work. The difficulty has been, (...) however, that Hume's skeptical arguments and commitments appear to undermine and discredit his naturalistic ambition to contribute to "the science of man". This schism appears to leave his entire project broken-backed. The solution to this riddle depends on challenging another, closely related, point of orthodoxy: namely, that before Hume published the Treatise he removed almost all material concerned with problems of religion. Russell argues, contrary to this view, that irreligious aims and objectives are fundamental to the Treatise and account for its underlying unity and coherence. It is Hume's basic anti-Christian aims and objectives that serve to shape and direct both his skeptical and naturalistic commitments. When Hume's arguments are viewed from this perspective we can solve, not only puzzles arising from his discussion of various specific issues, we can also explain the intimate and intricate connections that hold his entire project together. This "irreligious" interpretation provides a comprehensive fresh account of the nature of Hume's fundamental aims and ambitions in the Treatise. It also presents a radically different picture of the way in which Hume's project was rooted in the debates and controversies of his own time, placing the Treatise in an irreligious or anti-Chrisitan philosophical tradition that includes Hobbes, Spinoza and freethinking followers. Considered in these terms, Hume's Treatise constitutes the crowning achievement of the Radical Enlightenment. (shrink)

Throughout much of the first half of the twentieth century, the free-will debate was largely concerned with the question of what kind of freedom was required for moral responsibility and whether the kind of freedom required was compatible with the thesis of determinism. This issue was itself addressed primarily with reference to the question of how freedom is related to alternative possibilities and what the relevant analysis of “could have done otherwise” comes to. The discussion of these topics made little (...) advance on the basic strategies and positions already developed and defended on either side of the compatibilist/incompatibilist divide in the preceding two centuries. When P. F. Strawson’s published his seminal article “Freedom and Resentment” in 1962 the dynamics of this debate were fundamentally altered. This is true both in respect of Strawson’s general methodology, which demands a more empirically informed approach, and in terms of his core conceptual framework, which identifies a different set of considerations and issues at the heart of this debate. In particular, whereas the traditional or classical debate focused on the problem of (moral) freedom, Strawson directed his attention to the role of moral sentiments or “reactive attitudes” as the key to understanding and resolving the core problems lying at the heart of this debate. This essay is devoted to a critical assessment of Strawson’s project and an analysis of the current debate concerning its prospects. (shrink)

This book was completed by the early 1960s and published in 1984 but it has not lost its topicality, for it contains an important re-assessment of the relations of two main streams of contemporary philosophy - the Analytical and the Dialectic. Adherents and critics of these traditions tend to assurnethat they are diametrically opposed, that their roots, concerns and approaches contradict each other, and that no reconciliation is possible. In contradistinction Russell derives both traditions from the common root of (...) the dissatisfaction with the arguments against speculative philosophy. These according to the author leave a lacuna - certain elementsof our Weltanschaaung have been removed, but they cannot be removed without replacement lest we have an incomplete world view, so incomplete in fact that it cannot be viable. According to Russell part of this vacuum is taken up by the analytical tradition but this tradition is not capable of taking up the remainder of it. That portion of the vacant space is however taken up by the dialectical tradi tion, which in turn cannot itself handle the whole of the problem. Thus the two reactions to the demise of speculative philosophy appear to be complementary in at least this sense. But the author goes further, for according to hirn the analytical arguments themselves clearly point to the emergence of dialectical problems, and the dialectical problems themselves need some such background to arise. (shrink)

FREE WILL. The problem of "free will" has generally been interpreted in modern times in terms of the question of whether or not moral freedom and responsibility are compatible with causality and determinism. Philosophers in the empiricist tradition have defended, with remarkable consistency, a compatibilist position on this issue. Moreover, most of the major figures of the empiricist tradition (i.e. Hobbes, Locke, Hume, Mill, Schlick, and Ayer) are understood to have endorsed and contributed to a single, unified strategy (...) on this subject. The position that these philosophers developed reflects, in large measure, the "antimetaphysical" and naturalistic orientation of empiricist philosophy.... -/- . (shrink)

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)

We explore the view that Frege's puzzle is a source of straightforward counterexamples to Leibniz's law. Taking this seriously requires us to revise the classical logic of quantifiers and identity; we work out the options, in the context of higher-order logic. The logics we arrive at provide the resources for a straightforward semantics of attitude reports that is consistent with the Millian thesis that the meaning of a name is just the thing it stands for. We provide models to (...) show that some of these logics are non-degenerate. (shrink)

In recent years official Roman Catholic documents have addressed the ecological crisis from the perspective of Catholic social teaching. This expansion of Catholic social thought addresses the social and ecological question. This paper links environmental and human ecology with the concept of sustainability and proposes an interpretation of the common good and a definition of sustainability within Catholic social teaching. Our treatment of sustainability and Catholic social teaching includes: an analysis of the ecological processes that sustain nature; insights from human (...) ecology, and an examination of models of sustainability as a foundation for re-structuring society to promote the common good. The paper provides a summary of the historical expansion of the common good within modern Catholic social thought, and concludes with an ecological interpretation of the common good and a definition of sustainability within the Catholic understanding of justice. (shrink)

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a (...) wider audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

Numbers without Science opposes the Quine-Putnam indispensability argument, seeking to undermine the argument and reduce its profound influence. Philosophers rely on indispensability to justify mathematical knowledge using only empiricist epistemology. I argue that we need an independent account of our knowledge of mathematics. The indispensability argument, in broad form, consists of two premises. The major premise alleges that we are committed to mathematical objects if science requires them. The minor premise alleges that science in fact requires mathematical objects. The most (...) common rejection of the argument denies its minor premise by introducing scientific theories which do not refer to mathematical objects. Hartry Field has shown how we can reformulate some physical theories without mathematical commitments. I argue that Field’s preference for intrinsic explanation, which underlies his reformulation, is ill-motivated, and that his resultant fictionalism suffers unacceptable consequences. I attack the major premise instead. I argue that Quine provides a mistaken criterion for ontic commitment. Our uses of mathematics in scientific theory are instrumental and do not commit us to mathematical objects. Furthermore, even if we accept Quine’s criterion for ontic commitment, the indispensability argument justifies only an anemic version of mathematics, and does not yield traditional mathematical objects. The first two chapters of the dissertation develop these results for Quine’s indispensability argument. In the third chapter, I apply my findings to other contemporary indispensabilists, specifically the structuralists Michael Resnik and Stewart Shapiro. In the fourth chapter, I show that indispensability arguments which do not rely on Quine’s holism, like that of Putnam, are even less successful. Also in Chapter 4, I show how Putnam’s work in the philosophy of mathematics is unified around the indispensability argument. In the last chapter of the dissertation, I conclude that we need an account of mathematical knowledge which does not appeal to empirical science and which does not succumb to mysticism and speculation. Briefly, my strategy is to argue that any defensible solution to the demarcation problem of separating good scientific theories from bad ones will find mathematics to be good, if not empirical, science. (shrink)

Active materials are self-propelled non-living entities which, in some circumstances, exhibit a number of cognitively interesting behaviors such as gradient-following, avoiding obstacles, signaling and group coordination. This has led to scientific and philosophical discussion of whether this may make them useful as minimal models of cognition (Hanczyc, 2014; McGivern, 2019). Batterman and Rice (2014) have argued that what makes a minimal model explanatory is that the model is ultimately in the same universality class as the target system, which underpins why (...) it exhibits the same macrobehavior. We appeal to recent research in basal cognition (Lyon et al., 2021) to establish appropriate target systems and essential features of cognition as a target of modeling. Looking at self-propelled oil droplets, a type of active material, we do not find that organization alone indicates that these systems exhibit the essential features of cognition. We then examine the specific behaviors of oil droplets but also fail to find that these demonstrate the essential features of cognition. Without a universality class, Batterman & Rice’s account of the explanatory power of minimal models simply does not apply to cognition. However, we also want to stress that it is not intended to; cognition is not the same type of behavioral phenomena as those found in physics. We then look to the minimal cognition methodology of Beer (1996, 2020a, b) to show how active materials can be explanatorily valuable regardless of their cognitive status because they engage in specific behaviors that have traditionally been expected to involve internal representational dynamics, revealing misconceptions about the cognitive underpinnings of certain, specific behaviors in target systems where such behaviors are cognitive. Further, Beer’s models can also be genuinely explanatory by providing dynamical explanations. (shrink)

This essay consists of two parts. Part I offers an explanation of Berkeley's understanding of the relationship between materialism and evil. Berkeley regards materialism as the chief instrumental cause of evil in the world. It is the belief in matter that encourages us to believe that God is not immediately, intimately present in every aspect of our life. Immaterialism, by contrast, makes God's immediate presence vivid and thereby serves to undermine the motivation to vice. Part II locates Berkeley's view on (...) matter and evil within the Christian Neoplatonic tradition. I compare Plotinus' minimalist approach to matter and his identification of matter with evil to Berkeley's eliminitivism about matter and his corresponding identification of materialism as the chief source of evil. (shrink)

Hume's Treatise of Human Nature was published in the form of three separate books. The first two, "Of the Understanding" and "Of the Pas- sions," were published in London in January 1739 by John Noon. The third, "Of Morals," was published independently in London by Thomas Longman in November 1740.2 The title and subtitles on all three books are the same: A Treatise of Human Nature: Being An Attempt to introduce the experimental Method of Reasoning into Moral Subjects. On the (...) title page of the first two books Hume employs an epigram from Tacitus: Rara temporumfelicitas, ubi sentire, quae velis; & quae sentias, dicere licet. ["Seldom are men blessed with times in which they may think what they like and say what they think."] On the title page of the third book this epigram is replaced by an epigram taken from the ninth book of Lucan's Pharsalia: Durae semper virtutis amator, Quaere quid est virtus, et posce exemplar honesti. ["Thou that to virtue ever wer't inclined, learn what it is, how certainly defin'd, and leave some perfect Rule to guide Mankind."] Given the context and the prominence of these epigrams, it is a curious fact that they have attracted little or no attention or comment from Hume scholars. -/- In this paper I argue that Hume's use of the epigram from Lucan is directly relevant to his use of the epigram from Tacitus. The epigrams flag very clearly the anti-Christian nature of Hume's intentions in the Treatise and his affiliations with and allegiance to an anti-Christian tradition of thought that stretches from Hobbes and Spinoza in the late seventeenth century to a circle of anti-Newtonian radical freethinkers that appeared in Britain in the first part of the eighteenth century. In more general terms these epigrams are a notable and illuminating example of esoteric communication in this context, and they indicate that the Treatise has an important place in the literature of the radical enlightenment. (shrink)

The received view has it that analytic philosophy emerged as a rebellion against the German Idealists (above all Hegel) and their British epigones (the British neo-Hegelians). This at least was Russell’s story: the German Idealism failed to achieve solid results in philosophy. Of course, Frege too sought after solid results. He, however, had a different story to tell. Frege never spoke against Hegel, or Fichte. Similarly to the German Idealists, his sworn enemy was the empiricism (in his (...) case, John Stuart Mill). Genealogically, this stance is not difficult to explain. Frege grew up as a philosopher in the context of the German Idealists. He was a member of Karl Snell’s “Sunday Circle” of university teachers in Jena. The group was influenced with Schelling and the German romanticists. The first Anglophone scholar to point out what Frege's thought owes to nineteenth-century Germany philosophy, Hans Sluga, argued that Frege followed the philosophical-logical tradition originating with Leibniz and Kant which Trendelenburg and Lotze developed significantly. About the same time, a philosophical historian writing in German, Gottfried Gabriel, did much to bring this tradition to light, casting Frege as neo-Kantian. Advancing beyond Sluga and Gabriel, the present paper reveals that through the mediation of Trendelenburg and especially of Lotze many elements of German idealism found their way into Frege's logic and philosophy. (shrink)

"In 'Hobbes and the Social Contract Tradition' Professor Hampton undertakes an "extensive examination" of Hobbes's argument, primarily as stated in Leviathan, for the institutionof an absolute sovereign. Hampton, however, is concerned to accomplish more than "a description or explication" of Hobbes's political philosophy. Rather, it is her intention to develop a "rational reconstruction" of Hobbes's argument.... 'Hobbes and the Social Contract Tradition' is an important and valuable contribution to the study of Hobbes's political philosophy. Throughout this work one (...) acquires new and illuminating insights into Hobbes's argument and its contemporary significance. ... it is essential reading for all those who are seriously concerned to come to grips with Hobbes's social contract theory. Hobbes scholar and political theorist alike will learn a great deal from it.". (shrink)

ABSTRACT: In a previous article (O’Shea 2006) I provided a concise overview of the reception of Kant’s philosophy among analytic philosophers during the periods from the ‘early analytic’ reactions to Kant in Frege, Russell, Carnap and others, to the systematic Kant-inspired works in epistemology and metaphysics of C. I. Lewis and P. F. Strawson, in particular. In this chapter I use the recently reinvigorated work of Wilfrid Sellars (1912–1989) in the second half of the twentieth century as the (...) basis for presenting some of the most familiar ‘analytic Kantian’ themes that continue to animate current debates. I also argue that the complex relationships between Sellars’ philosophy and Kant’s thought are often misunderstood. Overall the chapter examines Sellars’ analytic appropriations of Kant in three topic-areas of significant current philosophical debate: (1) conceptual analysis and the structure of human knowledge; (2) laws of nature, the causal modalities, and the pragmatic or relative a priori; and (3) the disputes concerning Kant and nonconceptual content. (shrink)

The paper argues that unlike Ramsey, Frege and Russell lacked the idea of an arbitrary function and this had important consequences for their foundational programs.

In recent years, there has been a huge resurrection of interest in the idea of ‘analysis,’ encompassing on analytic philosophy. As with any major philosophical movement, it is futile to define or classify any precision of what makes someone an analytic thinker. However, drawing on the startling works by Frege, Russell, Wittgenstein, Dummett and Putnam I clear up some strands, portended by the observation that language is the sole medium of analytic philosophy, so the main focus of analytic (...) philosophy is to understand the structure of language, thought, and meaning. Analytic philosophy pursues a critical analysis on the interface between word and world interrelation in terms of natural language guided by analysis, reasons, clarity and reflective thoughts. In this paper, I will reflect on what this means and why analytic philosophy deserves an initial importance. (shrink)

Apresentamos neste artigo explicitações histórico-conceituais sobre o surgimento da predicação lógica contemporânea. Quando se trata de predicação, remete-se de imediato à obra de Aristóteles, mas, com as transformações trazidas pela Lógica Contemporânea, o estudo da predicação deixa o plano do estudo lógico-gramatical para o estudo do plano da análise lógicomatemática. Veremos, nesse sentido, a importância dos trabalhos de Peirce, Frege e Russell para o surgimento da predicação lógica contemporânea. Embora Peirce tenha sido o precursor da introdução do conceito (...) de função proposicional na História da Lógica, ganha destaque, contemporaneamente, o modelo de interpretação da predicação inicialmente proposto por Frege. (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)

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)

It is widely agreed by philosophers that the so-called “Frege-Russell definition of natural number” is actually an assertion concerning the nature of the numbers and that it cannot be regarded as a definition in the ordinary mathematical sense. On the basis of the reasoning in this paper it is clear that the Frege-Russell definition contradicts the following three principles (taken together): (1) each number is the same entity in each possible world, (2) each number exists in (...) each possible world, (3) some entities existing in the actual world do not exist in every possible world. Since these principles seem to be true, the paper is a refutation of the Frege-Russell definition. The paper does more. It shows that the contradictory of the Frege-Russell definition follows even when principles 2 and 3 are replaced by one considerably weaker principle. The ideas contained in the paper are related to two earlier objections to the definition. The first, sometimes attributed to the mathematician, C. S. Keyser, is that existence of the numbers as defined implies the existence of infinitely many particulars in each possible world. The second is, in effect, an idea which is said to have led Whitehead to reject the definition of number to which he had subscribed in Principia Mathematica. Whitehead is supposed to have said that he could not believe that the number two changes every “time twins are born”. The mathematician H. Jeffreys expressed similar ideas [Philos. of Sci. 5 (1938), 434–451]. One of the merits of the author’s work is that it refutes the Frege-Russell definition without the need to take sides on controversial points presupposed by the Keyser and Whitehead objections. The objections made by the author are therefore not to be identified with the Keyser and Whitehead objections. Even if the author’s work is to be regarded as a refinement and integration of previous ideas, it is nevertheless a contribution—not only because the basic points are well worth repeating but also because the refinements are logically significant improvements and because the author has stated them clearly and concisely in the idiom of contemporary philosophy. (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)

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)

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)

Ontological functionalism's defining tenet is that mental properties can be defined wholly in terms of the general pattern of interaction of ontologically prior realizations. Ideological functionalism's defining tenet is that mental properties can only be defined nonreductively, in terms of the general pattern of their interaction with one another. My Self-consciousness Argument establishes: ontological functionalism is mistaken because its proposed definitions wrongly admit realizations into the contents of self-consciousness; ideological functionalism is the only viable alternative for functionalists. Michael Tooley's critique (...) misses the target: he offers no criticism of - except for an incidental, and incorrect, attack on certain self-intimation principles - and, since he himself proposes a certain form of nonreductive definition, he tacitly accepts. Finally, as with all other nonreductive definitions, Tooley's proposal can be shown to undermine functionalism's ultimate goal: its celebrated materialist solution to the Mind-Body Problem. The explanation of these points will require a discussion of: Frege-Russell disagreements regarding intensional contexts; the relationship between self-consciousness and the traditional doctrine of acquaintance; the role of self-intimation principles in functionalist psychology; and the Kripke-Lewis controversy over the nature of theoretical terms. (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)

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)

This paper (i) offers an interpretation of some central aspects of Jeremy Bentham’s philosophy of language, (ii) challenges the received view of its relation to analytic philosophy, and (iii) seeks to show that this investigation into the prehistory of analytic philosophy sheds light on its history proper. It has been often maintained, most notably by Quine, that Bentham anticipated Frege’s context principle and the use of contextual definition. On these bases, Bentham has been presented as one of the initiators (...) of a tradition that shares a common commitment to the “semantic priority of sentences” and that includes authors as otherwise diverse as Frege, Russell, and Wittgenstein. In opposition to this narrative, I argue that Bentham did indeed anticipate the use of contextual definition, but was not a forerunner of Frege’s context principle. The two issues should be sharply distinguished. I show that Bentham’s philosophy of language is informed by a set of empiricist assumptions that Frege’s contextualism was centrally meant to oppose. I conclude that with respect to the question of the relation between propositional and sub-propositional meaning, we should distinguish two opposed strands in the history of analytic philosophy: an empiricist strand anticipated by Bentham, represented most notably by Russell, and an anti-empiricist strand, represented most notably by Frege and Wittgenstein. (shrink)

Semantic analysis in early analytic philosophy belongs to a long tradition of adopting geometrical methodologies to the solution of philosophical problems. In particular, it adapts Descartes’ development of formalization as a mechanism of analytic representation, for its application in natural language semantics. This article aims to trace the mathematical roots of Frege, Russel and Carnap’s analytic method. Special attention is paid to the formal character of modern analysis introduced by Descartes. The goal is to identify the particular conception (...) of “form” developed by the analytic tradition, from Descartes to early analytic philosophy, and to determine its relation to similar notions, like ‘function’ and ‘syntax’. Finally, I focus on how Frege, Russell and Carnap’s methods of semantic analysis fit the general characterization of formal analysis previously developed. (shrink)

Bertrand Russell in his essay On Denoting [1905] presented a theory of description developed in response to the one proposed by Gottlob Frege in his paper Über Sinn und Bedeutung [1892]. The aim of our work will be to show that Russell underestimated Frege three times over in presenting the latter’s work: in relation to the Gray’s Elegy argument, to the Ferdinand argument, and to puzzles discussed by Russell. First, we will discuss two claims of (...) Russell’s which do not do justice to Frege: that we speak of a sense by means of quotation marks, and that all Frege does to cope with phrases that might denote nothing is define an arbitrary object as their reference. Second, we will show that Russell omitted the fact that Frege’s theory provided some answers for the puzzles presented by Russell in his essay. (shrink)

This book provides a concise overview, with excellent historical and systematic coverage, of the problems of the philosophy of language in the analytic tradition. Howard Callaway explains and explores the relation of language to the philosophy of mind and culture, to the theory of knowledge, and to ontology. He places the question of linguistic meaning at the center of his investigations. The teachings of authors who have become classics in the field, including Frege, Russell, Carnap, Quine, Davidson, (...) and Putnam are critically analyzed. I share completely his conviction that contemporary Anglo-American philosophy follows the spirit of the enlightenment in insisting on intellectual sincerity, clarity, and the willingness to meet scientific doubts or objections openly. --Professor Henri Lauener, Editor of Dialectica. (shrink)

This is an unedited version of a paper written in 2012 accepted for publication in a forthcoming Festschrift for Mark Platts. In it I argue that the Helmholtz/Bayes tradition of free energy neuroscience begun by Geoffrey Hinton and his colleagues, and now being carried forward by Karl Friston and his, can be seen as a fulfilment of the Quine/Davidson program of radical interpretation, and also of Quine’s conception of a naturalized epistemology. -/- This program, in turn, is rooted in (...) Helmholtz’s scientific reconception of Kant’s notion of a concept-led synthesis of affectations by an extra-sensory reality that creates human self-consciousness, a topic previously discussed in my (2012) Psychoanalysis, Representation, and Neuroscience. -/- I also argue that 20th century analytical philosophy went astray when Frege, Russell, and Wittgenstein ignored their legacy from Helmholtz and espoused a conception of perception and epistemology that he had already shown to be false. (shrink)

Between the end of the nineteenth century and the first twenty years of the twentieth century, stimulated by the impetuous development of logical studies and taking inspiration from Leibniz's idea of a characteristica universalis, the three founding fathers of the analytic tradition in philosophy, i.e., Frege, Russell, and Wittgenstein, started to talk of a logically perfect language, as opposed to natural languages, all feeling that the latter were inadequate to their (different) philosophical purposes. In the second half (...) of the twentieth century, however, the very idea of a logically perfect language ceased for various reasons to seem attractive to analytic philosophers. Thus, it might appear that this idea could be classified together with the many other bizarre ideas that from time to time surface in the history of philosophy-an idea that perhaps had a beneficial impact on the development of twentieth century logic, but which can now be put to rest. In this brief note, I contend that this conclusion may be too hasty. Indeed, if a well-known empirical hypothesis advanced in 1975 by Jerry Fodor turns out to be true, then there is a logically perfect language, after all. More precisely, I argue that, if it exists, Fodor's language of thought possesses the main characteristics a logically perfect language is required to have. (shrink)

The present essay is a critical study of Barwise and Perry’s book, emphasizing the logical and model-theoretical aspects of their work. I begin by presenting the authors’ criticism of the classical view of logic and semantics within the tradition of Frege, Russell and Tarski. In this connection, I discuss the so-called Frege argument (“the slingshot”). I try to show that the argument appears inconclusive, not only from a situation-theoretic perspective, but also from such alternative perspectives as (...) orthodox Fregean semantics or Russellian semantics. I then discuss the ontology of situation semantics and the way it is modeled within set theory. In particular, I compare the notion of an abstract situation with that of a possible world. The last two sections concern the model-theoretic aspects of the authors’ theory. In Section 7, I discuss how the “partial” perspective of situation semantics differs from that of classical model theory. Finally, in Section 8, different model-theoretic accounts of attitude reports within situation semantics are discussed, in particular the “relations to situations”-approach presented by the authors in Chapter 9 of S & A. The usual problems of “logical omniscience” that appear in standard Hintikka-style epistemic logic are avoided in situation semantics. I argue, however, that situation semantics is faced with analogous counter-intuitive results, unless the expressive power of the language under study is suitably restricted. (shrink)

In Tractatus 5.132 Wittgenstein argues that inferential justification depends solely on the understanding of the premises and conclusion, and is not mediated by any further act. On this basis he argues that Frege’s and Russell’s rules of inference are “senseless” and “superfluous”. This line of argument is puzzling, since it is unclear that there could be any viable account of inference according to which no such mediation takes place. I show that Wittgenstein’s rejection of rules of inference can (...) be motivated by taking account of his holistic construal of the relation between inference and understanding. (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)

The traditional picture of the development of analytical philosophy, represented especially by such thinkers as G. Frege, G. E. Moore, B. Russell or R. Carnap, whose attitude was generally anti-metaphysical, can, on closer study, be shown to be incomplete. This article treats of the Cracow circle – a group of Polish philosophers among whom are, above all, to be counted J. Salamucha, J. M. Bocheński, J. F. Drewnowski, and B. Sobociński, who were, at the beginning of the twentieth (...) century, fascinated by the development of modern formal logic and its application to philosophical thinking. They also attempted to apply it to Catholic philosophy. The result of their endeavours were many remarkable works introducing not only a defence of the use of modern philosophical approaches in Christian thought, but also the reconstruction, by means of formal logic, of significant proofs given by Scholastic authors. (shrink)

[This is an old version which is superseded by the published version. I keep it here for the record, as it has been cited.] A strict dichotomy between the force / mode of speech acts and intentional states and their propositional content has been a central feature of analytical philosophy of language and mind since the time of Gottlob Frege and Bertrand Russell. Recently this dichotomy has been questioned by philosophers such as Peter Hanks (2015, 2016) and Francois (...) Recanati (2016), who argue that we can't account for propositional unity independently of the forceful acts of speakers and propose new ways of responding to the notorious 'Frege point' by appealing to a notion of force cancellation. In my paper I will offer some supplementary criticisms of the traditional view, but also a way of reconceptualizing the force-content distinction which allows us to preserve certain of its features, and an alternative response to the Frege point that rejects the notion of force cancellation in favor of an appeal to intentional acts that create additional forms of unity at higher levels of intentional organization: acts such as questioning a statement or order, or merely putting it forward or entertaining it; pretending to state or order; or conjoining or disjoining statements or orders. This allows us to understand how we can present a forceful act without being committed to it. In contrast, the Frege point confuses a lack of commitment to with a lack of commitment or force in what is put forward. (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)

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)

The following essay reconsiders the ontological and logical issues around Frege’s Basic Law (V). If focuses less on Russell’s Paradox, as most treatments of Frege’s Grundgesetze der Arithmetik (GGA)1 do, but rather on the relation between Frege’s Basic Law (V) and Cantor’s Theorem (CT). So for the most part the inconsistency of Naïve Comprehension (in the context of standard Second Order Logic) will not concern us, but rather the ontological issues central to the conflict between (BLV) (...) and (CT). These ontological issues are interesting in their own right. And if and only if in case ontological considerations make a strong case for something like (BLV) we have to trouble us with inconsistency and paraconsistency. These ontological issues also lead to a renewed methodological reflection what to assume or recognize as an axiom. (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)

I argue that Frege's so-called "concept 'horse' problem" is not one problem but many. When these different sub-problems are distinguished, some emerge as more tractable than others. I argue that, contrary to a widespread scholarly assumption originating with Peter Geach, there is scant evidence that Frege engaged with the general problem of the inexpressibility of logical category distinctions in writings available to Wittgenstein. In consequence, Geach is mistaken in his claim that in the Tractatus Wittgenstein simply accepts from (...) Frege certain lessons about the inexpressibility of logical category distinctions and the say-show distinction. In truth, Wittgenstein drew his own morals about these matters, quite possibly as the result of reflecting on how the general problem of the inexpressibility of logical category distinctions arises in Frege's writings , but also, quite possibly, by discerning certain glimmerings of these doctrines in the writings of Russell. (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. (...) class='Hi'>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)

This work addresses the critical discussion featured in the contemporary literature about two well-known paradoxes belonging to different philosophical traditions, namely Frege’s puzzling claim that “the concept horse is not a concept” and Gongsun Long’s “white horse is not horse”. We first present the source of Frege’s paradox and its different interpretations, which span from plain rejection to critical analysis, to conclude with a more general view of the role of philosophy as a fight against the misunderstandings that (...) come from the different uses of language (a point later developed by the “second” Wittgenstein). We then provide an overview of the ongoing discussions related to the Bai Ma Lun paradox, and we show that its major interpretations include—as in the case of Frege’s paradox—dismissive accounts that regard it as either useless or wrong, as well as attempts to interpret and repair the argument. Resting on our reading of Frege’s paradox as an example of the inescapability of language misunderstandings, we advance a similar line of interpretation for the paradox in the Bai Ma Lun: both the paradoxes, we suggest, can be regarded as different manifestations of similar concerns about language, and specifically about the difficulty of referring to concepts via language. (shrink)

I investigate why Frege rejected the theory of types, as Russell presented it to him in their correspondence. Frege claims that it commits one to violations of the law of excluded middle, but this complaint seems to rest on a dogmatic refusal to take Russell’s proposal seriously on its own terms. What is at stake is not so much the truth of a law of logic, but the structure of the hierarchy of the logical categories, something (...) Frege seems to neglect. To come to a better understanding of Frege’s response, I proceed to investigate his conception of the nature of the logical categories, and how it differs from Russell’s. I argue that, for Frege, our grasp of the logical categories cannot be severed from our grasp of the Begriffsschrift notation itself. Russell, on the other hand, attaches no such importance to notation. From Frege’s point of view, Russell has not succeeded in presenting an alternative conception of the logical hierarchy, since such a conception must go in tandem with the development of a notation. Moreover, Frege has good reasons to think that Russell’s proposal does not admit of a suitable notation. (shrink)