Bertrand Russell argued that any attempt to get rid of universals in favor of resemblances fails. He argued that no resemblance theory could avoid postulating a universal of resemblance without falling prey to a vicious infinite regress. He added that admitting such a universal of resemblance made it pointless to avoid other universals. In this paper I defend resemblance nominalism from both of Russell's points by arguing that (a) resemblance nominalism can avoid the postulation of a universal of (...) resemblance without falling into a vicious infinite regress, and (b) even if resemblance nominalism had to admit a universal of resemblance, this would not make it pointless to avoid postulating other universals. (shrink)

In The Problems of Philosophy, Russell presented his famous regress argument against the nominalist denial of universals. In this paper I explore the origin of the argument in Russell and explore its relevance in contemporary metaphysical debate. I argue that a hundred years on, the argument still presents a powerful tool for realists in their debate with nominalists and trope theorists.

Resemblance Nominalism is the view that denies universals and tropes and claims that what makes F-things F is their resemblances. A famous argument against Resemblance Nominalism is Russell's regress of resemblances, according to which the resemblance nominalist falls into a vicious infinite regress. Aristocratic Resemblance Nominalism, as opposed to Egalitarian Resemblance Nominalism, is the version of Resemblance Nominalism that claims that what makes F-things F is that they resemble the F-paradigms. In this paper I attempt to show (...) that a recently advocated strategy to stop Russell's regress by using paradigms does not succeed. (shrink)

Bertrand Russell was one of the best-known proponents of logicism: the theory that mathematics reduces to, or is an extension of, logic. Russell argued for this thesis in his 1903 The Principles of Mathematics and attempted to demonstrate it formally in Principia Mathematica (PM 1910–1913; with A. N. Whitehead). Russell later described his work as a further “regressive” step in understanding the foundations of mathematics made possible by the late 19th century “arithmetization” of mathematics and Frege’s logical definitions of arithmetical (...) concepts. The logical system of PM sought to improve on earlier attempts by solving the contradictions found in, e.g., Frege’s system, by employing a theory of types. In this article, I also consider and critically evaluate the most common objections to Russell’s logicism, including the claim that it is undermined by Gödel’s incompleteness results, and Putnam's charge of “if-thenism”. I suggest that if we are willing to accept a slightly revisionist account of what counts as a mathematical truth, these criticisms do not obviously refute Russell’s claim to have established that mathematical truths generally are a species of logical truth. (shrink)

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

From my ongoing "Metalogical Plato" project. The aim of the diagram is to make reasonably intuitive how the Socratic elenchos (the logic of refutation applied to candidate formulations of virtues or ruling knowledges) looks and works as a whole structure. This is my starting point in the project, in part because of its great familiarity and arguable claim to being the inauguration of western philosophy; getting this point less wrong would have broad and deep consequences, including for philosophy’s self-understanding. -/- (...) (i.) is the first pass at elenchos in which the Socratic interlocutor does not reflect on knowledge being the crux of the problem. (ii.) is the second, rarer, reflective pass in which they are, making the investigation explicitly about knowledge. Its centrality in the Charmides makes that neglected dialogue of superlative importance. This structure is also the gateway through which the discussion/dialectic crosses into the Agathology (discussion of the form of the good) at Republic 505. -/- The problem of elenchos, then, grasped as a whole structure, is that it seems that knowledge can neither satisfactorily be included in nor excluded from its own scope. The development of the ti esti (“what is ---?”) question leads to the introduction of knowledge into its own scope (i. implicitly, as goodness contrasted with blind rule-following ii. explicitly qua knowledge) while the development of the dual peri tinos (“----about what?) question leads to K’s elimination from its own scope. The introductions are motivated to avoid contradiction, but produce regress; the eliminations are motivated to avoid regress, but produce contradiction. In scholarship, and in the history of philosophy, the ti esti question is universally recognized, to the point of being identified with philosophy’s origin and essence; the peri tinos question is neglected textually and never recognized as the equal dual to the ti esti. This, I claim, has blocked the development of a nontrivial logical appreciation of what Plato's Socrates is up to. (One rather disastrous effect of this neglect is taking Aristotle as the beginning of the development of logic, rather than, correctly, for the beginning of logic’s fatal separation from mathematics and dialectic.) -/- Further, because of this monopticism of the ti esti, the function of consistency in the elenchos has not been understood, even with respect to the ti esti. The ti esti is actually in search of completeness, given a norm of consistency; the peri tinos is in search of consistency, given a norm of completeness. Only appreciating the two questions as dual allows space in the structure to clarify these different orientations relative to consistency. (And, dually, to completeness, whose function in the elenchos is generally entirely missed by scholars and relegated to discussions of eros; it's not out of place there, of course, but its significance is secured here.) Recognizing the duality of the ti esti and peri tinos questions is thus the royal road, in the Socratic-Platonic context, to catching sight of what we post-Cantorians can recognize as the metalogical duality of consistency and completeness. (The salutary disruptive effects of this Plato-Cantor proximity have, of course, been traced in complementary ways by Badiou.) -/- Note that the diagram is supposed to provide a relatively accessible orientation, not to stand on its own, and certainly not to be the last word on any subject. An important qualification (telegraphed in the previous paragraph) is that what elenchos shows is not finally circular or paradoxical, though the problem first presents as such (stubbornly, obdurately, as "difficult" Plato's Socrates always says with characteristic understatement). What is depicted here is meant, at a first pass, to be the shape of that first presentation, the form of the problem of elenchos, rather than of its solution. It's not an accident that this problem strongly resembles "Russell's paradox" (not Russell's not a paradox.) Problem is to solution as RP is to the diagonal theorems. (shrink)

Working within the broad lines of general consensus that mark out the core features of John Stuart Mill’s (1806–1873) logic, as set forth in his A System of Logic (1843–1872), this chapter provides an introduction to Mill’s logical theory by reviewing his position on the relationship between induction and deduction, and the role of general premises and principles in reasoning. Locating induction, understood as a kind of analogical reasoning from particulars to particulars, as the basic form of inference that is (...) both free-standing and the sole load-bearing structure in Mill’s logic, the foundations of Mill’s logical system are briefly inspected. Several naturalistic features are identified, including its subject matter, human reasoning, its empiricism, which requires that only particular, experiential claims can function as basic reasons, and its ultimate foundations in ‘spontaneous’ inference. The chapter concludes by comparing Mill’s naturalized logic to Russell’s (1907) regressive method for identifying the premises of mathematics. (shrink)

This paper addresses a number of closely related questions concerning Kant's model of intentionality, and his conceptions of unity and of magnitude [Gröβe]. These questions are important because they shed light on three issues which are central to the Critical system, and which connect directly to the recent analytic literature on perception: the issues are conceptualism, the status of the imagination, and perceptual atomism. In Section 1, I provide a sketch of the exegetical and philosophical problems raised by Kant's views (...) on these issues. I then develop, in Section 2, a detailed analysis of Kant's theory of perception as elaborated in both the Critique of Pure Reason and the Critique of Judgment; I show how this analysis provides a preliminary framework for resolving the difficulties raised in Section 1. In Section 3, I extend my analysis of Kant's position by considering a specific test case: the Axioms of Intuition. I contend that one way to make sense of Kant's argument is by juxtaposing it with Russell's response to Bradley's regress; I focus in particular on the concept of ‘unity’. Finally, I offer, in Section 4, a philosophical assessment of the position attributed to Kant in Sections 2 and 3. I argue that, while Kant's account has significant strengths, a number of key areas remain underdeveloped; I suggest that the phenomenological tradition may be read as attempting to fill precisely those gaps. (shrink)

We can distinguish between ambitious metanormative constructivism and a variety of other constructivist projects in ethics and metaethics. Ambitious metanormative constructivism is the project of either developing a type of new metanormative theory, worthy of the label “constructivism”, that is distinct from the existing types of metaethical, or metanormative, theories already on the table—various realisms, non-cognitivisms, error-theories and so on—or showing that the questions that lead to these existing types of theories are somehow fundamentally confused. Natural ways of pursuing the (...) project of ambitious metanormative constructivism lead to certain obvious, and related, worries about whether the ambitions are really being achieved—that is whether we really are being given a distinctive theory. I will argue that responding to these initial worries pushes ambitious metanormative constructivism towards adopting a kind of position that I will call “constructivism all the way down”. Such a position does see off most of the above initial worries. Drawing on the work of Ralph Walker and Crispin Wright, I argue, however, that it faces a distinct objection that is a descendent of Bertrand Russell’s Bishop Stubbs objection against coherentist theories of truth. I grant that the constructivist need not be a coherentist about truth. I argue, however, that despite this the constructivist cannot escape my version of the objection. I also distinguish between this objection and various traditional charges of circularity, regress, relativism, or psychologistic reductionism. (shrink)

Debiasing procedures are experimental methods aimed at correcting errors arising from the cognitive biases of the experimenter. We discuss two of these methods, the predesignation rule and randomization, showing to what extent they are open to the experimenter’s regress: there is no metarule to prove that, after implementing the procedure, the experimental data are actually free from biases. We claim that, from a contractarian perspective, these procedures are nonetheless defensible since they provide a warrant of the impartiality of the (...) experiment: we only need proof that the result has not been intentionally manipulated for prima facie acceptance. (shrink)

The purpose of this essay is to draw attention to conceptual similarities between two important texts in the history of political philosophy, Plato’s Republic and Noam Chomsky’s and Edward S. Herman’s work, Manufacturing Consent. Similar to the way the “propaganda model,” which Chomsky and Herman describe as a phenomenon by which “news media” is used as a means to transmitting false ideas, the method described by Socrates in the Republic, where poetry is used as a means to transmit false ideas (...) is not entirely different. Furthermore, those who transmit false ideas under such conditions do so automatically, consciously or not, because they’ve internalized certain values, which lead to an automatic rule and certain political order. I will also employ the concepts of “harmful propaganda” and “flawed ideologies” that Jason Stanley outlines in How Propaganda Works, and show that these concepts are either identical or closely related to the problem of manufacturing consent, amongst others. (shrink)

In this paper I will examine the infinite regress arguments pertaining to the unreality of relations that are presented in Francis Herbert Bradley’s paper, Appearance and Reality. Then I will suggest two argumentative strategies one can take to undermine Bradley’s regress argument. The first option concerns plainly rejecting the regress by stating that Bradley is viewing relations as kinds of objects that are in need of being related, whereas the second option is in regards to adopting an (...) existential-dependence view between objects and their properties to refute the need for relations. I will conclude this paper by comparing these two strategies against each other, alluding to each of their ramifications. (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)

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

Russell claims that ordinary proper names are eccentric, i.e. that the semantic referent of a name is determined by the descriptive condition that the individual utterer of the name associates with the name. This is deeply puzzling, for the evidence that names are subject to interpersonal coordination seems irrefutable. One way of making sense of Russell’s view would be to claim that he has been systematically misinterpreted and did not, in fact, offer a semantic theory at all. Such a view (...) is put forward in Sainsbury Departing from Frege, Routledge, London, 2002). Sainsbury claims that Russellian descriptivism is not the theory that the thought in the mind of the speaker determines the semantic reference of a name, but simply a theory about the thought in the mind of the speaker using a name. I argue that the truth is subtly different, and points the way towards an intuitive explanation of Russell’s eccentricity. (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)

In the early 1900s, Russell began to recognize that he, and many other mathematicians, had been using assertions like the Axiom of Choice implicitly, and without explicitly proving them. In working with the Axioms of Choice, Infinity, and Reducibility, and his and Whitehead’s Multiplicative Axiom, Russell came to take the position that some axioms are necessary to recovering certain results of mathematics, but may not be proven to be true absolutely. The essay traces historical roots of, and motivations for, Russell’s (...) method of analysis, which are intended to shed light on his view about the status of mathematical axioms. I describe the position Russell develops in consequence as “immanent logicism,” in contrast to what Irving (1989) describes as “epistemic logicism.” Immanent logicism allows Russell to avoid the logocentric predicament, and to propose a method for discovering structural relationships of dependence within mathematical theories. (shrink)

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)

Russell’s second philosophy of time (1899–1913), which will be the subject of this paper, is of special interest for two reasons. (1) It was basic to his New Philosophy, later called the “philosophy of logical atomism”. In fact, this philosophy didn’t initially emerge in the period of 1914– 1919, as many interpreters (e.g. A. J. Ayer) suggest, but with the introduction of Russell’s second philosophy of time (and space). The importance of Russell’s second philosophy of time for his early and (...) middle philosophy can be seen from the fact that it survived the dramatic changes in his philosophy of August–December 1900, and of July 1905. There is of course no surprise about this point: it served as their fundament. (2) Russell’s second philosophy of time is a locus classicus of all so called B-theories of time which define it in terms of the relations of before, after and simultaneous between events or moments. 20th century philosophy; absolute theory of time; theory of time; order; relation; relationist theory of time; B-series. (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)

From 1901 till, at least, 1919, Russell persistently maintained that there are two kinds of logic, between which he sharply discriminated: mathematical logic and philosophical logic. In this paper, we discuss the concept of philosophical logic, as used by Russell. This was only a tentative program that Russell did not clarify in detail, so our task will be to make it explicit. We shall show that there are three (-and-a-half) kinds of Russellian philosophical logic: (i) “pure logic”; (ii) philosophical logic (...) investigating the logical forms of propositions; (iii) philosophical logic exploring the logical forms of facts: in epistemology; and in the external world. In particular, Russell’s program or philosophical logic of the facts of the external world remained less than sketchily outlined. We shall discuss it in some detail in the hope that it can start a new life. (shrink)

This essay argues that the main lesson of Lewis Carroll's Regress is that arguments are constitutively presuppositional.

I show that in our theoretical representations of argument, vicious infinite regresses of self-reference may arise with respect to each of the three usual, informal criteria of argument cogency: the premises are to be relevant, sufficient, and acceptable. They arise needlessly, by confusing a cogency criterion with argument content. The three types of regress all are structurally similar to Lewis Carroll’s famous regress, which involves quantitative extravagance with no explanatory power. Most attention is devoted to the sufficiency criterion, (...) including its relation to the view au courant that inferring necessarily involves the thinker taking her premises to support her conclusion. I contend that this view is mistaken and likewise that arguments make no such assumption or inference claim as that the premises support the conclusion. The core of the positive alternative model I propose is that there is commitment to, but not claiming, the proposition that the premises support the conclusion. (shrink)

According to the well-known Bradley’s Regress argument, one cannot explain the unity of states of affairs by referring to relations combining objects with properties. This argument has been widely discussed within analytic metaphysics, but has not been recognized as relevant for the philosophy of perception. I argue that the mainstream characterization of visual content is threatened by the Bradley’s Regress, and the most influential metaphysical solutions to the regress argument cannot be applied in the context of visual (...) content. However, I show that a proper solution to Bradley’s Regress can be formulated by taking into consideration features of visual content suggested by empirical research in vision science. (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 conventional wisdom has it that between 1905 and 1919 Russell was critical to pragmatism. In particular, in two essays written in 1908–9, he sharply attacked the pragmatist theory of truth, emphasizing that truth is not relative to human practice. In fact, however, Russell was much more indebted to the pragmatists, in particular to William James, as usually believed. For example, he borrowed from James two key concepts of his new epistemology: sense-data, and the distinction between knowledge by acquaintance and (...) knowledge by description. Reasonable explanation of this is that, historically, Russell’s logical realism and James’s pragmatism have the same roots—the German philosopher Rudolph Hermann Lotze (1817–1881). In this paper we are going to explore the fact that in 1905, under Lotze’s influence, Russell married propositions with beliefs. A few years later this step also made Russell prone to embrace the theory of truth-making that has its roots in James. In contrast to the concept of sense-data and to the distinction between knowledge by acquaintance and knowledge by description, however, the understanding that we believe propositions—and not, for example, simply grasp them—was in tension with Russell’s Principle of Extensionality, according to which propositions can be logically connected with other propositions only as truth-functions. The point is that when we judge a mind-relation (for example, a relation of belief) to a proposition, the latter cannot be determined as true or false. The two most talented pupils of Russell, Wittgenstein and Ramsey, severely criticized the central place propositional attitudes play in Russell’s logic. Wittgenstein analyzed “A believes that p” to “ ‘p’ says p” (5.542). Ramsey criticized Russell’s beliefs in propositions the other way round: He stressed that belief is an ambiguous term that can be interpreted for the better in the sense of pragmatism. Prima facie surprisingly, he maintained that his “pragmatism is derived from Mr Russell.” (1927: 51). (shrink)

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)

The chapter concerns some aspects of Russell’s epistemological turn in the period after 1911. In particular, it focuses on two aspects of his philosophy in this period: his attempt to render material objects as constructions out of sense data, and his attitude toward sense data as “hard data.” It examines closely Russell’s “breakthrough” of early 1914, in which he concluded that, viewed from the standpoint of epistemology and analytic construction, space has six dimensions, not merely three. Russell posits a three-dimensional (...) personal or “perspective” space that is inhabited by sense data. This space then forms the basis for constructing the three dimensional space of physics (and of public things). I am concerned with the specifics of this construction: with the properties of the private spaces, the relations among those spaces, and their relation to physical space and to constructed “things,” such as pennies or tables. There are difficulties of interpretation with respect to these relations, which stem from the difficulty of finding a coherent interpretation of Russell’s claim that objects such as tables and pennies look smaller at a greater distance (or look trapezoidal or elliptical from some points of view). I don’t mean to challenge the phenomenal claim that objects do, in some sense, look small in the distance. Rather, I raise difficulties with Russell’s analysis of this fact, in which he appeals to both phenomenal experience and the findings of sensory psychology. I hold that if he wishes to maintain his phenomenal claim about objects appearing smaller with greater distance, he must alter or redescribe aspects of his construction of ordinary things. However, if his construction of things and physical space is based on a problematic description of the private spaces, then his claim that private or perspective spaces are very well known and provide the hard data for knowledge of the physical world faces a challenge. (shrink)

Despite its enormous popularity, Russell’s theory of definite descriptions has received various criticisms. Two of the most important objections against this theory are those arising from the Argument from Incompleteness and the Argument from Donnellan’s Distinction. According to the former although a speaker may say something true by assertively uttering a sentence containing an incomplete description , on the Russellian analysis such a sentence expresses a false proposition; so, Russell’s theory cannot adequately deal with such sentences. According to the latter (...) objection a descriptive sentence is actually ambiguous—it expresses a general proposition when the description contained in it is used attributively, and a singular proposition when the description in question is used referentially; Russell’s theory is inadequate as it fails to capture this ambiguity and offers an analysis according to which a descriptive sentence expresses only a general proposition. These objections are examined in the present dissertation. It is shown here that these objections arise from: (i) ignoring the distinction between the meaning of a sentence and the assertions made by using it, (ii) the failure to distinguish between the semantic meaning of a sentence and the pragmatic meaning with which it is used on a particular occasion. To make the distinction mentioned in (i), a significant part of Scott Soames’ theory concerning meaning and assertions has been adopted in this dissertation; and, to make the distinction mentioned in (ii), a test, namely the cancellability test, and two Distinguishing Criteria, namely DC-1 and DC-2, have been developed here. It has been argued here that if we properly make the relevant distinctions, then we will find that: (a) the phenomenon cited by the Argument from Incompleteness can be well explained keeping the Russellian analysis of descriptive sentences intact, (b) the phenomenon arising from the Argument from Donnellan’s Distinction raises an issue of pragmatics and is irrelevant to Russell’s semantic analysis of descriptive sentences. So, none of the above criticisms poses a genuine threat to Russell’s theory of definite descriptions; his theory actually provides, to a large extent, a correct semantic analysis of descriptive sentences. (shrink)

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

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

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

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)

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.

Bertrand Russell was one of the protagonists of the programme of reducing “disagreeable” concepts to philosophically more respectable ones. Throughout his life he was engaged in eliminating or paraphrasing away a copious variety of allegedly dubious concepts: propositions, definite descriptions, knowing subjects, and points, among others. The critical aim of this paper is to show that Russell’s construction of points, which has been considered as a paradigm of a logical construction überhaupt, fails for principal mathematical reasons. Russell could have known (...) this, if he had taken into account some pertinent results due to Hausdorff or Tarski. Its constructive aim is to show that one can save Russell’s thesis – that points can be defined in terms of events or regions – by using the conceptual resources of modern pointless topology. (shrink)

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

The goal of this note is to bring into wider attention the often neglected important work by Bertrand Russell on the foundations of physics published in the late 1920s. In particular, we emphasize how the book The Analysis of Matter can be considered the earliest systematic attempt to unify the modern quantum theory, just emerging by that time, with general relativity. More importantly, it is argued that the idea of what I call Russell space, introduced in Part III of that (...) book, is more fundamental than quantum theory, general relativity, and quantum gravity since the topological ordinal space proposed by Russell would naturally incorporate into its very fabric the emergent nature of spacetime by deploying event assemblages, and not spacetime or particles, as the fundamental building blocks of the world. (shrink)

Bertrand Russell in "My Philosophical Development" claimed he converted to neutral monism in 1919, in the essay "On Propositions." I question whether Russell was really a complete neutral monist in the style of Mach and James and conclude that he was not. Russell's lingering commitment to image propositions and a linguistic theory of meaning and truth and falsity separate him from the more naturalistic causal theory of knowledge and error one finds in James and Mach.

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)

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)

There is a debate in the literature as to whether Kantian self-conceit is intrapsychic or interpersonal. I argue that self-conceit is both. I argue that, for Kant, self-conceit is fundamentally an illusion about authority, one’s own and any authority one stands in relation to. Self-conceit refuses to recognize the authority of the law. But the law “shows up” for us in two guises: one’s own reason and other persons. Thus, self-conceit refuses to recognize both guises of the law. Hence self-conceit (...) is essentially double-sided, at once intrapsychic and interpersonal. (shrink)

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

This book addresses the metaphysics of Armstrongian states of affairs, i.e. instantiations of naturalist universals by particulars. The author argues that states of affairs are the best candidate for truthmakers and, in the spirit of logical atomism, that we need no molecular truthmakers for positive truths. In the book's context, this has the pleasing result that there are no molecular states of affairs. Following this account of truthmaking, the author first shows that the particulars in (first-order) states of affairs are (...) bare particulars. He then argues that the properties in states of affairs are simple, non-relational and concrete universals. Next, he argues that (material) relations in states of affairs are external relations. Lastly, he argues that a state of affairs is unified by a distinctive formal relation without giving rise to Bradley’s regress. (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.

Bradley proposes a regress according to which, any theory that considers external objects as a unit composed of multiple components is flawed. Since most tropists consider the concrete object to be composed of coexisting tropes, Bradley's sregress embraces tropism as well. Maureen is of the opinion that Bradley's view about the existence of a relationship is incorrect and that a relationship is something that has an existential dependence on its surroundings, and based on this, he has resolved the problems (...) of Bradley's regress. However, based on an understanding of Allameh Tabataba'i's statements and analysis regarding the existence of a relationship, it is possible to criticize Maureen and consider the dependence between the relationship and its surroundings to be two-way. In addition, although Maurin's view solves the problem of Bradley's regress, it seems incompatible with the tropism. In this article, after a brief look at tropism, Bradley's regress is presented, and then this problem for tropism is explained. Next, Maureen's solution is proposed and after that, this solution is criticized and defended from the point of view of internal and mutual dependence between the relationship and its surroundings. (shrink)

This paper proves a precisification of Hume’s Law—the thesis that one cannot get an ought from an is—as an instance of a more general theorem which establishes several other philosophically interesting, though less controversial, barriers to logical consequence.

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)

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)