People with the kind of preferences that give rise to the St. Petersburg paradox are problematic---but not because there is anything wrong with infinite utilities. Rather, such people cannot assign the St. Petersburg gamble any value that any kind of outcome could possibly have. Their preferences also violate an infinitary generalization of Savage's Sure Thing Principle, which we call the *Countable Sure Thing Principle*, as well as an infinitary generalization of von Neumann and Morgenstern's Independence axiom, which we call (...) *Countable Independence*. In violating these principles, they display foibles like those of people who deviate from standard expected utility theory in more mundane cases: they choose dominated strategies, pay to avoid information, and reject expert advice. We precisely characterize the preference relations that satisfy Countable Independence in several equivalent ways: a structural constraint on preferences, a representation theorem, and the principle we began with, that every prospect has a value that some outcome could have. (shrink)

Some hold that the lesson of Russell’s paradox and its relatives is that mathematical reality does not form a ‘definite totality’ but rather is ‘indefinitely extensible’. There can always be more sets than there ever are. I argue that certain contact puzzles are analogous to Russell’s paradox this way: they similarly motivate a vision of physical reality as iteratively generated. In this picture, the divisions of the continuum into smaller parts are ‘potential’ rather than ‘actual’. Besides the intrinsic (...) interest of this metaphysical picture, it has important consequences for the debate over absolute generality. It is often thought that ‘indefinite extensibility’ arguments at best make trouble for mathematical platonists; but the contact arguments show that nominalists face the same kind of difficulty, if they recognize even the metaphysical possibility of the picture I sketch. (shrink)

The Russell's paradox concerns the foundations of naive set theory. This short short paper is about how it can be interpreted in other contexts and has significance in the world of commands. Understanding the paper assumes that the reader is broadly familiar with the foundations of set theory and its history. The text contains many formulas and therefore the reader should be comfortable in the world of logical formulas. My example is somewhat similar to the barber paradox. (...) There, too, we are puzzled by the feasibility of a task. In the case of the barber paradox there is a solution: the barber is a woman, in my example there is no such escape. (shrink)

We prove a representation theorem for preference relations over countably infinite lotteries that satisfy a generalized form of the Independence axiom, without assuming Continuity. The representing space consists of lexicographically ordered transfinite sequences of bounded real numbers. This result is generalized to preference orders on abstract superconvex spaces.

Could space consist entirely of extended regions, without any regions shaped like points, lines, or surfaces? Peter Forrest and Frank Arntzenius have independently raised a paradox of size for space like this, drawing on a construction of Cantor’s. I present a new version of this argument and explore possible lines of response.

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)

Throughout this paper my objective will be to establish and clarify Hume's original intentions in his discussion of causation in Book I of the Treatise. I will show that Hume's views on ontology, presented in Part IV of that book, shed light on his views on causation as presented in Part III. Further, I will argue that Hume's views on ontology account for the original motivation behind his two definitions of 2 cause. This relationship between Hume's ontology and his account (...) of causation explains something which has baffled Hume scholars for some time,- namely, why does Hume's discussion of causation in I, iii, 14 have such a paradoxical air about it? I will show that Hume's views on causation have a paradoxical air about them because they rest on an ontology of "double existence" - an ontology which Hume describes as the monstrous offspring of two principles, which are contrary to each other, which are both at once embrac'd by the mind, and which are unable mutually to destroy each other (T 215) My interpretation will centre on the following two claims: (i) When Hume wrote Section 14, Of the idea of necessary connexion, he was primarily concerned to attack the view that the origin of our idea of necessity was to be discovered in the operations of matter or bodies. Of the suggested sources from which our idea of necessity could be thought to originate this is the source which, initially, interested Hume the most. It is, therefore, of great importance that we interpret Hume's remarks in light of this fact. (ii) Hume offers the first definition of cause as an account of causation as it exists in the material world independent of our thought and reasoning.He offers the second definition as an account of causation as we find it in our perceptions. It will also be argued, in this context, that necessity constitutes "an essential part" of both of Hume's two definitions of cause. (shrink)

The subject of my article is the principle of characterization – the most controversial principle of Meinong’s Theory of Objects. The aim of this text is twofold. First of all, I would like to show that Russell’s well-known objection to Meinong’s Theory of Objects can be reformulated against a new modal interpretation of Meinongianism that is presented mostly by Graham Priest. Secondly, I would like to propose a strategy which gives uncontroversial restriction to the principle of characterization and which allows (...) to avoid Russell’s argument. The strategy is based on the distinction between object- and metalanguage, and it applies to modal Meinongianism as well as to other so-called Meinongian theories. (shrink)

outrageous remarks about contradictions. Perhaps the most striking remark he makes is that they are not false. This claim first appears in his early notebooks (Wittgenstein 1960, p.108). In the Tractatus, Wittgenstein argued that contradictions (like tautologies) are not statements (Sätze) and hence are not false (or true). This is a consequence of his theory that genuine statements are pictures.

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)

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)

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

Book synopsis: Held every five years under the auspices of the Kant-Gesellschaft, the International Kant Congress is the world’s largest philosophy conference devoted to the work and legacy of a single thinker. The five-volume set Kant and Philosophy in a Cosmopolitan Sense contains the proceedings of the Eleventh International Kant Congress, which took place in Pisa in 2010. The proceedings consist of 25 plenary talks and 341 papers selected by a team of international referees from over 700 submissions. The contributions (...) span 14 sections: Kant’s Concept of Philosophy; Theory of Cognition and Logic; Ontology and Metaphysics; Ethics; Law and Justice; Religion and Theology; Aesthetics; Anthropology and Psychology; Politics and History; Science, Mathematics, and the Philosophy of Nature; Kant and the Leibnizian Tradition; Kant and the Philosophical Tradition; Kant and Schopenhauer; and Kant’s Heritage. Thanks to cooperation from the Schopenhauer Gesellschaft, the 2010 conference was the first in the history of the International Kant Congress to include a session on Kant and Schopenhauer. (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’s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell’s logic was nothing but mereology. First, his acquaintance with Peano’s ideas in August 1900 led him to discard the part-whole logic and accept a kind of intensional predicate logic instead. Among other things, the predicate logic helped Russell embrace a technique of treating the paradox of infinite numbers with the help of a singular concept, which he called ‘denoting phrase’. (...) Unfortunately, a new paradox emerged soon: that of classes. The main contention of this paper is that Russell’s new conception only transferred the paradox of infinity from the realm of infinite numbers to that of class-inclusion. Russell’s long-elaborated solution to his paradox developed between 1905 and 1908 was nothing but to set aside of some of the ideas he adopted with his turn of August 1900: (i) With the Theory of Descriptions, he reintroduced the complexes we are acquainted with in logic. In this way, he partly restored the pre-August 1900 mereology of complexes and simples. (ii) The elimination of classes, with the help of the ‘substitutional theory’, and of propositions, by means of the Multiple Relation Theory of Judgment, completed this process. (shrink)

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)

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)

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)

John Turri gives an example that he thinks refutes what he takes to be “G. E. Moore's view” that omissive assertions such as “It is raining but I do not believe that it is raining” are “inherently ‘absurd'”. This is that of Ellie, an eliminativist who makes such assertions. Turri thinks that these are perfectly reasonable and not even absurd. Nor does she seem irrational if the sincerity of her assertion requires her to believe its content. A commissive counterpart of (...) Ellie is Di, a dialetheist who asserts or believes that The Russell set includes itself but I believe that it is not the case that the Russell set includes itself. Since any adequate explanation of Moore's paradox must handle commissive assertions and beliefs as well as omissive ones, it must deal with Di as well as engage Ellie. I give such an explanation. I argue that neither Ellie's assertion nor her belief is irrational yet both are absurd. Likewise neither Di's assertion nor her belief is irrational yet in contrast neither is absurd. I conclude that not all Moore-paradoxical assertions or beliefs are irrational and that the syntax of Moore's examples is not sufficient for the absurdity found in them. (shrink)

The argument and discussion in this paper begins from the premise that Hume was an atheist who denied the religious or theist hypothesis. However, even if it is agreed that that Hume was an atheist this does not tell us where he stood on the question concerning the value of religion. Some atheists, such as Spinoza, have argued that society needs to maintain and preserve a form of “true religion”, which is required for the support of our ethical life. Others, (...) such as D’Holbach have argued that religion is not only false it is pernicious and it should be eradicated. This paper argues that Hume rejected both these proposals, on the ground that they rest, in different ways, on excessively optimistic assumptions. The sensible, practical form of atheism that Hume defends has a more modest and realistic aim, which is simply to restrict and limit the most pernicious forms of religion. Understood this way, Hume’s practical atheism is very different from the forms of “old” atheism associated with Spinoza and D’Holbach, as well as from the “new atheism” of thinkers such as Dawkins and Dennett. -/- Reprinted in Paul Russell, "Recasting Hume and Early Modern Philosophy: Selected Essays" (New York: Oxford University Press, 2021): 340-383. (shrink)

This is a contribution to a Book symposium on The Limits of Free Will: Selected Essays by Paul Russell. Russell provides replies to three critics of The Limits of Free Will. The first reply is to Robert Wallace and focuses on the question of whether there is a conflict between the core compatibilist and pessimist components of the "critical compatibilist" position that Russell has advanced. The second reply is to Angela Smith's discussion of the "narrow" interpretation of moral responsibility responsibility (...) (as defended by R. Jay Wallace) and how best to respond to it. The third and last reply is concerned with Christopher Bennett's criticism of Russell's views concerning "motivational scepticism" and the possibility of pure practical reasons. (shrink)

Throughout his lectures and published writings on anthropology, Kant describes a form of unintentional, unstructured, obscure, and pleasurable imaginative mental activity, which he calls fantasy (Phantasie), where we ‘take pleasure in letting our mind wander about in obscurity.’ In the context of his pragmatic anthropology, Kant was concerned not only to describe this form of mental activity as a fact of human psychology, but more importantly, to criticize and discourage it. But must we share Kant’s negative evaluation? Could fantasy play (...) a positive role in some kinds of experience? In this paper I first reconstruct Kant’s conception of fantasy, and then consider what role fantasy might play in aesthetic experience. Precisely because of his anxieties about fantasy, Kant is careful to distinguish between the lawless freedom of the imagination in fantasy and the ‘free lawfulness’ of the imagination in aesthetic judgment. Departing from Kant, and with help from Susan Sontag, I argue that certain aesthetic objects, especially certain works of modernist art, positively invite fantasy, making fantasy part of proper aesthetic appreciation. I conclude by suggesting that while fantasy can indeed play a positive role in aesthetic appreciation, there is still reason to regard fantasy as ‘normatively ambiguous.’. (shrink)

David Hume’s views on the subject of free will are among the most influential contributions to this long-disputed topic. Throughout the twentieth century, and into this century, Hume has been widely regarded as having presented the classic defense of the compatibilist position, the view that freedom and responsibility are consistent with determinism. Most of Hume’s core arguments on this issue are found in the Sections entitled “Of liberty and necessity,” first presented in Book 2 of A Treatise of Human Nature (...) (1739) and then in his An Enquiry concerning Human Understanding (1748). Although the general position in both these works is much the same, there are some significant points of difference relating to the way in which the core position is presented and also in the specific range of arguments covered. The focus of my concerns in this essay will not, however, lie with the relationship between the Treatise and the first Enquiry versions of “Of liberty and necessity.” My discussion will center on the contrast between two alternative interpretations of Hume’s views on this subject, with particular reference to the version presented in the Treatise. It will be my particular concern to explain and defend the naturalistic as against the classical compatibilist account and to explain the general significance of the naturalistic account for the contemporary debate. (shrink)

According to Russell, the notation in Principia Mathematica has been designed to avoid the vagueness endemic to our natural language. But what does Russell think vagueness is? My argument is an attempt to show that his views on vagueness evolved and that the final conception he adopts is not coherent. Three phases of his conception of vagueness are identified, the most significant being the view that he articulates on vagueness in his 1923 address to the Jowett Society. My central thesis (...) is that the 1912 conception of vagueness -- what I characterize as "semantic egalitarianism" -- seriously conflicts with the later paradoxical account of vagueness. (shrink)

This chapter outlines an alternative interpretation of Hume’s philosophy, one that aims, among other things, to explain some of the most perplexing puzzles concerning the relationship between Hume’s skepticism and his naturalism. The key to solving these puzzles, it is argued, rests with recognizing Hume’s fundamental irreligious aims and objectives, beginning with his first and greatest work, A Treatise of Human Nature. The irreligious interpretation not only reconfigures our understanding of the unity and structure of Hume’s thought, it also provides (...) a radically different picture of the way in which Hume’s philosophy is rooted in its historical context. By altering our understanding of the fundamentals of Hume’s philosophy in this way, the irreligious interpretation also challenges the adequacy of the familiar and entrenched framework of “British Empiricism.”. (shrink)

The central thesis of this paper is that the scope and structure of Hume's Treatise of Human Nature is modelled, or planned, after that of Hobbes's The Elements of Law and that in this respect there exists an important and unique relationship between these works. This relationship is of some importance for at least two reasons. First, it is indicative of the fundamental similarity between Hobbes's and Hume's project of the study of man. Second, and what is more important, by (...) recognizing this relationship between Hume's and Hobbes's works we can come to appreciate the unity of the project of the Treatise itself. My discussion will proceed in three stages. In section I present the evidence for my central thesis. In the second section I shall consider why Hume does not, as one might expect, acknowledge this important debt to Hobbes in the Introduction to the Treatise or in the Abstract. Finally, in the third section I shall note a few points of some importance to the understanding of Hume's philosophy which this relationship between Hobbes's and Hume's work touches upon. (shrink)

In his Treatise of Human Nature Hume makes clear that it is his aim to make moral philosophy more scientific and properly grounded on experience and observation. The “experimental” approach to philosophy, Hume warns his readers, is “abstruse,” “abstract” and “speculative” in nature. It depends on careful and exact reasoning that foregoes the path of an “easy” philosophy, which relies on a more direct appeal to our passions and sentiments . Hume justifies this approach by way of an analogy concerning (...) the relevance of anatomy to painting. “The anatomist,” he says, “ought never to emulate the painter.” At the same time, the painter cannot afford to ignore the anatomist: An anatomist [...] is admirably fitted to give advice to a painter ... We must have an exact knowledge of the parts, their situation and connexion, before we can design with any elegance or correctness. And thus the most abstruse speculations concerning human nature, however cold and uninteresting, become subservient to practical morality; and may render this latter science more correct in its precepts, and more persuasive in its exhortations. As these remarks suggest, Hume’s anatomy of virtue is not without its own practical aims and objectives. It is advanced with a view to identifying and carefully delineating the true foundations of morality in human nature and correcting our practices in light of this. With this improvement in our understanding of the nature and basis of virtue, we can better appreciate the way in which virtue secures happiness for ourselves and others and may also avoid the distortions and corruptions of morality by religious superstition. (shrink)

What degrees of belief does Sleeping Beauty's evidence support? That depends.

“Responsibility After ‘Morality’: Strawson’s Naturalism and Williams’ Genealogy” -/- Although P.F. Strawson and Bernard Williams have both made highly significant and influential contributions on the subject of moral responsibility they never directly engaged with the views of each other. On one natural reading their views are directly opposed. Strawson seeks to discredit scepticism about moral responsibility by means of naturalistic observations and arguments. Williams, by contrast, employs genealogical methods to support sceptical conclusions about moral responsibility (and blame). This way of (...) reading their views depends, however, on the assumption that the concept of responsibility that Strawson aims to defend is the same as Williams aims to discredit. The conception of responsibility that Williams aims to discredit is one that is based around the assumptions and aspirations of “the morality system”. This paper argues that while there is a plausible way of interpreting Strawson’s naturalism that uncouples it from the assumptions of “the morality system”, there remain significant differences between Strawson and Williams. More specifically, even if Strawson’s understanding of moral responsibility abandons the (narrow) assumptions of “morality”, Strawson is still committed to “conservative” and “optimistic” conclusions about moral responsibility that cannot be sustained. [March 2022] -/- . (shrink)

There are few who would deny that P. F. Strawson’s “Freedom and Resentment” (1962) ranks among the most significant contributions to modern moral philosophy. Although any number of essays have been devoted to it, Pamela Hieronymi’s 'Freedom, Resentment, and the Metaphysics of Morals' is the first book-length study. The aim of Hieronymi’s study is to show that Strawson’s “central argument” has been “underestimated and misunderstood.” Hieronymi interprets this argument in terms of what she describes as Strawson’s “social naturalism”. Understood this (...) way, Hieronymi maintains, “the argument is powerful”. In what follows I argue that while Hieronymi’s discussion is stimulating and provides valuable insights into “Freedom and Resentment,” neither the interpretation advanced nor the social naturalist position that it describes is convincing. (shrink)

In "Freedom and Resentment" P.F. Strawson, famously, advances a strong form of naturalism that aims to discredit kcepticism about moral responsibility by way of approaching these issues through an account of our reactive attitudes. However, even those who follow Strawson's general strategy on this subject accept that his strong naturalist program needs to be substantially modified, if not rejected. One of the most influential and important efforts to revise and reconstruct the Strawsonian program along these lines has been provided by (...) R. Jay Wallace, who presents a "narrower" construal of our reactive attitudes in his own account of what is involved in holding an agent responsible. In this paper I argue that Wallace's narrow construal of responsibility comes at too high a cost and that naturalists of a broadly Strawsonian cast should reject it. Related to this point, I argue that Wallace's narrow conception of responsibility is a product of his effort to construct his account within the confines of "the morality system" (i.e. as described by Bernard Williams) and that this way of construing responsibility leads into series of unnecessary and misleading oppositions. A more plausible middle path, I maintain, can be found between Strawson's excessively strong naturalist program and Wallace's narrow and restrictive view of responsibility. (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)

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)

David Hume’s views on the subject of free will are among the most influential contributions to this long-disputed topic. Throughout the twentieth century, and into this century, Hume has been widely regarded as having presented the classic defense of the compatibilist position, the view that freedom and responsibility are consistent with determinism. Most of Hume’s core arguments on this issue are found in the sections entitled “Of liberty and necessity,” first presented in Book 2 of A Treatise of Human Nature (...) (1739) and then in his An Enquiry concerning Human Understanding (1748). Although the general position in both these works is much the same, there are some significant points of difference relating to the way in which the core position is presented and also in the specific range of arguments covered. The focus of my concerns in this essay will not, however, lie with the relationship between the Treatise and the first Enquiry versions of “Of liberty and necessity.” My discussion will center on the contrast between two alternative interpretations of Hume’s views on this subject, with particular reference to the version presented in the Treatise. It will be my particular concern to explain and defend the naturalistic as against the classical compatibilist account and to explain the general significance of the naturalistic account for the contemporary debate. (shrink)

David Hume (1711-1776) is widely recognized as one of the most influential and significant critics of religion in the history of philosophy. There remains, nevertheless, considerable disagreement about the exact nature of his views. According to some, he was a skeptic who regarded all conjectures relating to religious hypotheses to be beyond the scope of human understanding – he neither affirmed nor denied these conjectures. Others read him as embracing a highly refined form of “true religion” of some kind. On (...) the other side of this spectrum, it is claimed that Hume was committed to atheism, although due to social conditions at the time, this had to be (thinly) concealed or masked. The aim of this article is to provide an overview of Hume’s core concerns and arguments on this subject and to provide the reader with a framework for interpreting and assessing his various contributions. (shrink)

A critical survey of Quine's arguments against the analytic/synthetic distinction.

My principal objective in this essay will be to show that the widely held view that Hume's Treatise' is not significantly or "directly" concerned with problems of religion is seriously mistaken. I shall approach this issue by way of an examination of a major skeptical theme that runs throughout the Treatise; namely, Hume's skepticism regarding the powers of demonstrative reason. In this paper I shall be especially concerned to bring to light the full significance of this skeptical theme by placing (...) Hume's arguments in their appropriate historical context. I shall show that both Hume and his contemporaries recognized that these important skeptical arguments were aimed primarily against the dogmatic Christian rationalism of John Locke and above all Samuel Clarke, and that they were, therefore, well aware that these arguments had considerable theological significance. (shrink)

Bernard Williams identifies Hume as “in some ways an archetypal reconciler” who, nevertheless, displays “a striking resistance to some of the central tenets of what [Williams calls] ‘morality’”. This assessment, it is argued, is generally correct. There are, however, some significant points of difference in their views concerning moral responsibility. This includes Williams’s view that a naturalistic project of the kind that Hume pursues is of limited value when it comes to making sense of “morality’s” illusions about responsibility and blame. (...) It is, Williams maintains, only when we consider moral responsibility in genealogical terms, which gives attention to the importance of culture and history, that we can find a way of exposing the various prejudices and illusions of “the morality system”. Nevertheless, despite these differences, what Hume and Williams share is a fundamental commitment to provide a more “truthful” and “realistic” understanding of moral responsibility and our human ethical predicament. (shrink)

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

Russellian monism—an influential doctrine proposed by Russell (The analysis of matter, Routledge, London, 1927/1992)—is roughly the view that physics can only ever tell us about the causal, dispositional, and structural properties of physical entities and not their categorical (or intrinsic) properties, whereas our qualia are constituted by those categorical properties. In this paper, I will discuss the relation between Russellian monism and a seminal paradox facing epiphenomenalism, the paradox of phenomenal judgment: if epiphenomenalism is true—qualia are causally inefficacious—then (...) any judgment concerning qualia, including epiphenomenalism itself, cannot be caused by qualia. For many writers, including Hawthorne (Philos Perspect 15:361–378, 2001), Smart (J Conscious Stud 11(2):41–50, 2004), and Braddon-Mitchell and Jackson (The philosophy of mind and cognition, Blackwell, Malden, 2007), Russellian monism faces the same paradox as epiphenomenalism does. I will assess Chalmers’s (The conscious mind: in search of a fundamental theory. Oxford University Press, New York, 1996) and Seager’s (in: Beckermann A, McLaughlin BP (eds) The Oxford handbook of philosophy of mind. Oxford University Press, New York, 2009) defences of Russellian monism against the paradox, and will put forward a novel argument against those defences. (shrink)

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

The philosophical debate about free will and responsibility has been of great importance throughout the history of philosophy. In modern times this debate has received an enormous resurgence of interest and the contribution in 1962 by P.F. Strawson with the publication of his essay "Freedom and Resentment" has generated a wide range of discussion and criticism in the philosophical community and beyond. The debate is of central importance to recent developments in the free will literature and has shaped the way (...) contemporary philosophers now approach the problem. This volume brings together a focused selection of the major contributions and reactions to the free will and responsibility debate inspired by Strawson's contribution. McKenna and Russell also provide a comprehensive overview of the debate. (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 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)

Stephen Jay Gould argued that replaying the ‘tape of life’ would result in radically different evolutionary outcomes. Recently, biologists and philosophers of science have paid increasing attention to the theoretical importance of convergent evolution—the independent origination of similar biological forms and functions—which many interpret as evidence against Gould’s thesis. In this paper, we examine the evidentiary relevance of convergent evolution for the radical contingency debate. We show that under the right conditions, episodes of convergent evolution can constitute valid natural experiments (...) that support inferences regarding the deep counterfactual stability of macroevolutionary outcomes. However, we argue that proponents of convergence have problematically lumped causally heterogeneous phenomena into a single evidentiary basket, in effect treating all convergent events as if they are of equivalent theoretical import. As a result, the ‘critique from convergent evolution’ fails to engage with key claims of the radical contingency thesis. To remedy this, we develop ways to break down the heterogeneous set of convergent events based on the nature of the generalizations they support. Adopting this more nuanced approach to convergent evolution allows us to differentiate iterated evolutionary outcomes that are probably common among alternative evolutionary histories and subject to law-like generalizations, from those that do little to undermine and may even support, the Gouldian view of life. (shrink)

Contributors: -/- John Beatty (British Columbia); Kelly James Clark (Ibn Haldun, Istanbul); Angela Coventry (Portland State); Thomas Holden (UC Santa Barbara); Willem Lemmens (Antwerp); Robin Le Poidevin (Leeds); Jennifer Marusic (Edinburgh); Kevin Meeker (South Alabama); Amyas Merivale (Oxford); Peter Millican (Oxford); Dan O’Brien (Oxford Brookes); Graham Oppy (Monash); Paul Russell (Lund); Andre C. Willis (Brown).

Mechanistic explanations are often said to explain because they reveal the causal structure of the world. Conversely, dynamical models supposedly lack explanatory power because they do not describe causal structure. The only way for dynamical models to produce causal explanations is via the 3M criterion: the model must be mapped onto a mechanism. This framing of the situation has become the received view around the viability of dynamical explanation. In this paper, I argue against this position and show that dynamical (...) models can themselves reveal causal structure and consequently produce nonmechanistic, dynamical explanations. Taking the example of cell fates from systems biology, I show how dynamical models, and specifically the attractor landscapes they describe, identify the causes of cell differentiation and explain why cells select particular fates. These dynamical features of the system better fit Woodward’s (2010, 2018) criteria of specificity and proportionality and make them the best candidate causes of cell fates than mechanisms. I also show how these causes are irreducible and inaccessible to mechanistic models, making 3M unworkable and counterproductive in this case. Dynamical models can reveal dynamical causes and thereby provide causal explanations. (shrink)

The present essay argues that Bergson’s account of the comic can only be fully appreciated when read in conjunction with his later metaphysical exposition of the élan vital in Creative Evolution and then by the account of fabulation that Bergson only elaborates fully three decades later in The Two Sources of Morality and Religion. The more substantive account of the élan vital ultimately shows that, in Laughter, Bergson misses his own point: laughter does not simply serve as a means for (...) correcting human behavior but is rather the élan vital’s vital summons, the demand of life itself, that human beings challenge their obligations, question their societal forms, and thereby create new and, for Bergson, more ideal forms of life and community. (shrink)

The notes for Theodor Adorno’s courses in the 1960’s are important resources not only for an understanding of his magnum opus, Negative Dialectics, but also for developing critical responses to this problematic philosophical heir of idealism. Particularly noteworthy among the volumes that have appeared so far is from Adorno’s 1965 course on metaphysics where he engages in a sustained reading of Aristotle’s Metaphysics and explicitly connects it with the project of Negative Dialectics. Adorno’s chief concern is to demonstrate, by way (...) of Eduard Zeller’s work, that Aristotle is indeed a proto-idealist and that his ontology is comprised of a fundamental dualism. Adorno is not an informed reader of Aristotle, as his reliance on Zeller makes clear, but he succeeds in drawing the reader’s attention to the organizing force exerted by  upon . The interest in this organizing force is motivated by an interest in the ethics that is consequent upon it: an ethics that ignores the sufferings of the concrete in the name of a rational ideal. While there are echoes of this in Aristotle’s ethical writings, his account of imagination in De Anima ought to give pause to an account as reductive as Adorno’s. In De Anima, Aristotle provides an account of the imagination () that makes it a power reducible neither to  nor to . The imagination, a power of the bodily senses, and especially sight, is a power that grants to thinking its power but is itself the unmotivated actualization of the purely potential. This essay argues that such a power resists interpretation into any dialectical schema insofar as it constitutes a distinct power of the human animal. At the same time, such an interpretation provides a possible route out of the ethical impasse of the unthinkable concrete. (shrink)