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.

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)

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.

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)

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)

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)

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)

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.

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)

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)

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)

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’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)

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)

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)

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 .

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 introduction provides a brief overview of the issues and arguments that arise in Hume's _Dialogues concerning Natural Religion_ (1779). It also provides a few brief comments relating to the historical context in which this text should be interpreted , as well as an account of the place of the _Dialogues_ in relation to Hume's other philosophical works.

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)

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

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

In the third and final part of his A Theory of Determinism (TD) Ted Honderich addresses the fundamental question concerning “the consequences of determinism.” The critical question he aims to answer is what follows if determinism is true? This question is, of course, intimately bound up with the problem of free will and, in particular, with the question of whether or not the truth of determinism is compatible or incompatible with the sort of freedom required for moral responsibility. It is (...) Honderich’s aim to provide a solution to “the problem of the consequences of determinism” and a key element of this is his articulation and defence of an alternative response to the implications of determinism that collapses the familiar Compatibilist/Incompatibilist dichotomy. Honderich offers us a third way – the response of “Affirmation” (HFY 125-6). Although his account of Affirmation has application and relevance to issues and features beyond freedom and responsibility, my primary concern in this essay will be to examine Honderich’s theory of “Affirmation” as it concerns the free will problem. (shrink)

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

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)

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)

This paper considers the question of “atheism” as it arises in Hume’s _Dialogues_. It argues that the concept of “atheism” involves several signficiant ambiguities that are indicative of philosophical and interpretive disagreements of a more substantial nature. It defends the view that Philo’s general sceptical orientation accurately represents Hume’s own “irreligious” and “atheistic” commitments, both in the _Dialogues_ and in his other (“earlier”) writings. While Hume was plainly a “speculative atheist”, his “practical atheism” was targeted more narrowly against “superstition” - (...) as opposed to deism or religion of a more “philosophical” kind. (shrink)

I examine what the mathematical theory of random structures can teach us about the probability of Plenitude, a thesis closely related to David Lewis's modal realism. Given some natural assumptions, Plenitude is reasonably probable a priori, but in principle it can be (and plausibly it has been) empirically disconfirmed—not by any general qualitative evidence, but rather by our de re evidence.

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)

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)

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)

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)

This concluding chapter of FREEDOM AND MORAL SENTIMENT (OUP 1995) provides a qualified defense of Hume's naturalistic approach to the problem of free will and moral responsibility. A particularly important theme is the contrast between Hume's naturalistic approach and the “rationalistic” approach associated with classical compatibilism. Whereas the rationalistic approach proceeds as an a priori, conceptual investigation into the nature and conditions of moral responsibility, the naturalistic approach is committed to an empirically oriented (i.e., psychologically informed) examination of these issues (...) – giving particular prominence to the role of moral sentiment in understanding moral life and the place of justificatory issues as they arise within it. Whereas the rationalistic approach leads us into intractable difficulties and moral skepticism, the naturalistic approach makes real progress on this subject. On a more critical note, however, I also argue that, despite its strengths, Hume's theory of moral responsibility has significant weaknesses in the areas of moral virtue, moral capacity, and moral freedom. -/- . (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)

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)

There is a problem regarding God and perception right at the heart of Berkeley ’s metaphysics. With respect to this problem, I will argue for : It is intractable. Berkeley has no solution to this problem, and neither can we hope to offer one on his behalf. However, I will also argue for : The truth of need not be seen as threatening the viability of Berkeley ’s metaphysics. In fact, it may even be seen as speaking in its favor.

Logical pluralism is the view that there is more than one logic. Logical normativism is the view that logic is normative. These positions have often been assumed to go hand-in-hand, but we show that one can be a logical pluralist without being a logical normativist. We begin by arguing directly against logical normativism. Then we reformulate one popular version of pluralism—due to Beall and Restall—to avoid a normativist commitment. We give three non-normativist pluralist views, the most promising of which depends (...) not on logic’s normativity but on epistemic goals. (shrink)

Attentive readings of Deleuze’s works alongside the projects of his teachers show that they often share a common problem or set of problems. One of the most innovative and influential of these projects is the work of Jean Wahl. Wahl’s analysis of French existential phenomenology, here analyzed through a representative essay published in 1950, focuses on the problem of the pre-personal, pre-subjective elements of thinking and worldly existence. Deleuze’s philosophical project, already visible in his early essays on Bergson, is a (...) critique of the phenomenological presuppositions that determine this problem in terms of negation. (shrink)

My discussion in this paper proceeds in four stages. First, Iprovide a brief description of Nozick’s entitlement theory and I raise some general questions about it. Secondly, I argue, contrary to Nozick, that we are justified in distributing some goods on the basis of need. More specifically, I argue that we must distinguish between the claim that goods ought to be distributed on the basis of need and the claim that goods which are essential needs ought to be distributed on (...) the basis of need. In the third section I consider the objection that such distributions will inevitably lead to the violation of individuals’ property rights. I argue that individuals are obliged to be charitable and that this obligation places limits on what they are entitled to. What charity requires of us, I maintain, we have no rights over and we must relinquish. In the fourth and final section I point out the general significance of these arguments. _______________ Replies include : -/- * Antony Flew, Meeting Needs: charity or justice?: Journal of Applied Philosophy 5 (2): 225-231. 1988. -/- * Tony Skillen, "Flew on Russell on Nozick: uncharitable interpretations of justice and unjust views of charity"; Journal of Applied Philosophy 7 (1): 87-89. 1990. (shrink)

There are three questions associated with Simpson’s Paradox (SP): (i) Why is SP paradoxical? (ii) What conditions generate SP?, and (iii) What should be done about SP? By developing a logic-based account of SP, it is argued that (i) and (ii) must be divorced from (iii). This account shows that (i) and (ii) have nothing to do with causality, which plays a role only in addressing (iii). A counterexample is also presented against the causal account. Finally, the causal and (...) logic-based approaches are compared by means of an experiment to show that SP is not basically causal. (shrink)

Most paradoxes of self-reference have a dual or ‘hypodox’. The Liar paradox (Lr = ‘Lr is false’) has the Truth-Teller (Tt = ‘Tt is true’). Russell’s paradox, which involves the set of sets that are not self-membered, has a dual involving the set of sets which are self-membered, etc. It is widely believed that these duals are not paradoxical or at least not as paradoxical as the paradoxes of which they are duals. In this paper, I argue that (...) some paradox’s duals or hypodoxes are as paradoxical as the paradoxes of which they are duals, and that they raise neglected and interestingly different problems. I first focus on Richard’s paradox (arguably the simplest case of a paradoxical dual), showing both that its dual is as paradoxical as Richard’s paradox itself, and that the classical, Richard-Poincaré solution to the latter does not generalize to the former in any obvious way. I then argue that my argument applies mutatis mutandis to other paradoxes of self-reference as well, the dual of the Liar (the Truth-Teller) proving paradoxical. (shrink)

Joseph Conrad’s Heart of Darkness is a frequent point of reference for Edward Said’s investigations into the various forces that structure and define the encounter of imperial societies with others. In Culture and Imperialism, Said explains the importance of Conrad’s novella by linking it to his concept of culture as the aesthetic acme of a society that simultaneously marks it and divides it from others. In Heart of Darkness, Said claims, we have a narrative that challenges its own imperial society (...) by emphasizing the ambiguity of its cultural limit. Heart of Darkness is thereby able to dramatize and emphasize the constituent elements of imperial society, even as it is unable to exceed that society’s fundamental character. Said’s reading is important, and even vital, for an appreciation of the complexities of Conrad’s novella, but it does not go far enough. The ambiguity of Conrad’s depiction of imperial society is only an ambiguity to the extent that the novella is critiqued at the level of content, with a corresponding lack of emphasis upon its rhetorical form. Through a consideration of the three primary elements of this form – the careful situation of the Nellie as the site of the narrative, the work of interruption in Marlow’s narrative, and the reverberation of Kurtz’s dying words in the conclusion of the novella – this essay argues that there is very little ambiguity in Conrad’s text. Indeed, what ambiguity remains is a function of its effort to dramatize the limit of imperialism precisely as a limitation, as a cultural determinant that through its form perpetually determines other societies as inferior, even as this very culture, as a limit set against these other societies, shows their richness to which imperialism is essentially blind. (shrink)

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

This essay considers Richard Calder’s Dead trilogy as an important contribution to the argument concerning how pornography’s pernicious effects might be mitigated or disrupted. Paying close attention to the way that Calder uses the rhetoric of fiction to challenge pornographic stereotypes that have achieved hegemonic status, the essay argues that Calder’s trilogy provides an important link between debates about pornography and contemporary philosophical discussions of alterity and community. Finally, it argues that, for Calder, sexuality is implicitly predicated on a reconceptualization (...) of social relations in general – a reconceptualization achieved through the exhaustion of that decadent shadow of the Enlightenment, pornography. (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)