There is growing interest in the use of technology to enhance the tracking and quality of clinical information available for patients in disaster settings. This paper describes the design and evaluation of the Wireless Internet Information System for Medical Response in Disasters (WIISARD).

The paper offers a solution to the generality problem for a reliabilist epistemology, by developing an “algorithm and parameters” scheme for type-individuating cognitive processes. Algorithms are detailed procedures for mapping inputs to outputs. Parameters are psychological variables that systematically affect processing. The relevant process type for a given token is given by the complete algorithmic characterization of the token, along with the values of all the causally relevant parameters. The typing that results is far removed from the typings of folk (...) psychology, and from much of the epistemology literature. But it is principled and empirically grounded, and shows good prospects for yielding the desired epistemological verdicts. The paper articulates and elaborates the theory, drawing out some of its consequences. Toward the end, the fleshed-out theory is applied to two important case studies: hallucination and cognitive penetration of perception. (shrink)

In my article "Even if the fetus is not a person, abortion is immoral: The impairment argument" (this journal), I defended what I called “The impairment argument” which purports to show that abortion is immoral. Bruce Blackshaw (2019) has argued that my argument fails on three accounts. In this article, I respond to his criticisms.

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

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

Intentions are commonly conceived of as discrete mental states that are the direct cause of actions. In the last several decades, neuroscientists have taken up the project of finding the neural implementation of intentions, and a number of areas have been posited as implementing these states. We argue, however, that the processes underlying action initiation and control are considerably more dynamic and context sensitive than the concept of intention can allow for. Therefore, adopting the notion of ‘intention’ in neuroscientific explanations (...) can easily lead to misinterpretation of the data, and can negatively influence investigation into the neural correlates of intentional action.We suggest reinterpreting the mechanisms underlying intentional action, and we will discuss the elements that such a reinterpretation needs to account for. (shrink)

Does the content of a physically dangerous job affect the moral permissibility of hiring for that job? To what extent may employers consider costs in choosing workplace safety measures? Drawing on Kantian ethical theory, this article defends two strong ethical standards of workplace safety. First, the content of a hazardous job does indeed affect the moral permissibility of offering it. Unless employees need hazard pay to meet basic needs, it is permissible to offer a dangerous job only if prospective employees (...) have a reason other than hazard pay to choose this job instead of safer alternatives. Second, employers typically cannot justify omitting expensive safety measures by paying employees more, even if employees prefer higher pay to greater safety. Employers offering dangerous jobs must meet these two standards to avoid treating their employees merely as means. (shrink)

The proliferation of conspiracy theories poses a significant threat to democratic decision-making. To counter this threat, many political theorists advocate countering conspiracy theories with ‘more speech’ (or ‘counterspeech’). Yet conspiracy theories are notoriously resistant to counterspeech. This article aims to conceptualise and defend a novel form of counterspeech – narrative counterspeech – that is singularly well-placed to overcome this resistance. My argument proceeds in three steps. First, I argue that conspiracy theories pose a special problem for counterspeech for three interconnected (...) reasons relating to salience, emotion and internal coherence. Drawing on recent work in social epistemology, philosophy of emotion and cognitive science, I then demonstrate that narrative forms of counterspeech constitute an apt response to this diagnosis. Finally, I forestall two objections: the first questions the likely effectiveness of narrative counterspeech; the second insists that, even if it were effective, it would remain unacceptably manipulative. Neither objection, I contend, is ultimately compelling. (shrink)

There is widespread consensus that present patterns of consumption could lead to the permanent impossibility of maintaining those patterns and, perhaps, the existence of the human race. While many patterns of consumption qualify as ‘sustainable’ there is one in particular that deserves greater attention: virtual consumption. We argue that virtual consumption — the experience of authentic consumptive experiences replicated by alternative means — has the potential to reduce the deleterious consequences of real consumption by redirecting some consumptive behavior from shifting (...) material states to shifting information states. (shrink)

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

Public opinion research has shown that voters accept many falsehoods about politics. This observation is widely considered troubling for democracy—and especially participatory ideals of democracy. I argue that this influential narrative is nevertheless flawed, because it misunderstands the nature of political understanding. Drawing on philosophical examinations of scientific modelling, I demonstrate that accepting falsehoods within one’s model of political reality is compatible with—and indeed can positively enhance—one’s understanding of that reality. Thus, the observation that voters accept many political falsehoods does (...) not necessarily establish that they lack political understanding. I then address three worries: that voters cannot generally engage in such political modelling; that political modelling obscures facts that are crucial to political understanding; and that successful political modelling would require knowing that one’s model contains falsehoods. My responses reveal how, going forward, we should measure political ignorance; and they highlight the standing importance of participatory democracy. (shrink)

Classically, gratitude is a tri-polar construal, logically ordering a benefactor, a benefice, and a beneficiary in a favour-giving-receiving situation. Grammatically, the poles are distinguished and bound together by the prepositions ”to’ and ”for’; so I call this classic concept ”to-for’ gratitude. Classic religious gratitude follows this schema, with God as the benefactor. Such gratitude, when felt, is a religious experience, and a reliable readiness or ”habit’ of such construal is a religious virtue. However, atheists have sometimes felt an urge or (...) need for an analogous experience and virtue of gratitude, and theists sometimes feel intellectual discomfort with classical theistic gratitude on consideration of the misfortunes that characterize our life along with its blessings. In response, another conception of religious gratitude has been attempted, a construal that lacks the to-for structure. This paper probes the significance of the benefactor for gratitude, both secular and religious, and, with Søren Kierkegaard’s help, some features of the theology of classical religious gratitude that dissolve the problem of misfortunes. (shrink)

This article addresses three questions about well-being. First, is well-being future-sensitive? I.e., can present well-being depend on future events? Second, is well-being recursively dependent? I.e., can present well-being depend on itself? Third, can present and future well-being be interdependent? The third question combines the first two, in the sense that a yes to it is equivalent to yeses to both the first and second. To do justice to the diverse ways we contemplate well-being, I consider our thought and discourse about (...) well-being in three domains: everyday conversation, social science, and philosophy. This article’s main conclusion is that we must answer the third question with no. Present and future well-being cannot be interdependent. The reason, in short, is that a theory of well-being that countenances both future-sensitivity and recursive dependence would have us understand a person’s well-being at a time as so intricately tied to her well-being at other times that it would not make sense to consider her well-being an aspect of her state at particular times. It follows that we must reject either future-sensitivity or recursive dependence. I ultimately suggest, especially in light of arguments based on assumptions of empirical research on well-being, that the balance of reasons favors rejecting future-sensitivity. (shrink)

Florence Ashley has argued that requiring patients with gender dysphoria to undergo an assessment and referral from a mental health professional before undergoing hormone replacement therapy (HRT) is unethical and may represent an unconscious hostility towards transgender people. We respond, first, by showing that Ashley has conflated the self-reporting of symptoms with self-diagnosis, and that this is not consistent with the standard model of informed consent to medical treatment. Second, we note that the model of informed consent involved in cosmetic (...) surgery resembles the model Ashley defends, and that psychological assessment and referral is recognised as an important aspect of such a model. Third, we suggest that the increased prevalence of psychiatric morbidity in the transgender population arguably supports the requirement of assessment and referral from a mental health professional prior to undergoing HRT. (shrink)

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

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)

Ordinary reasoning about space—we argue—is first and foremost reasoning about things or events located in space. Accordingly, any theory concerned with the construction of a general model of our spatial competence must be grounded on a general account of the sort of entities that may enter into the scope of the theory. Moreover, on the methodological side the emphasis on spatial entities (as opposed to purely geometrical items such as points or regions) calls for a reexamination of the conceptual categories (...) required for this task. Building on material presented in an earlier paper, in this work we offer some examples of what this amounts to, of the difficulties involved, and of the main directions along which spatial theories should be developed so as to combine formal sophistication with some affinity with common sense. (shrink)

In 1903, in _The Principles of Mathematics_ (_PoM_), Russell endorsed an account of classes whereupon a class fundamentally is to be considered many things, and not one, and used this thesis to explicate his first version of a theory of types, adding that it formed the logical justification for the grammatical distinction between singular and plural. The view, however, was short-lived; rejected before _PoM_ even appeared in print. However, aside from mentions of a few misgivings, there is little evidence about (...) why he abandoned this view. In this paper, I speculate as to what those reasons were, and evaluate them in light of recent work and interest in plural logic. (shrink)

Attempts to evaluate a belief or argument on the basis of its cause or origin are usually condemned as committing the genetic fallacy. However, I sketch a number of cases in which causal or historical factors are logically relevant to evaluating a belief, including an interesting abductive form that reasons from the best explanation for the existence of a belief to its likely truth. Such arguments are also susceptible to refutation by genetic reasoning that may come very close to the (...) standard examples given of supposedly fallacious genetic reasoning. (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)

Religious belief and behavior raises the following two questions: (Q1) Does God, or any other being or state that is integral to various religious traditions, exist? (Q2) Why do humans have religious beliefs and engage in religious behavior? How one answers (Q2) can affect how reasonable individuals can be in accepting a particular answer to (Q1). My aim in this chapter is to carefully distinguish the various ways in which an answer to Q2 might affect the rationality of believing in (...) God. A literature has sprouted around this exact issue, but it has heretofore focused almost exclusively on one way in which a genealogy for p can affect the rationality of believing p – namely, by the genealogy functioning within a debunking argument. However, there are other ways a genealogy can affect the rationality of a belief. I suggest that we should be interested in whether genealogies more broadly cast doubt on religious beliefs. My main goal is: (i) to argue that CSR does not cast doubt on theistic belief in a few of the primary ways that propositions can cast doubt on other propositions, including via a debunking argument; and (ii) to suggest that one plausible way in which CSR might cast doubt on theistic belief is by undermining various traditional theistic reasons, and to illustrate how this might work with one example of a traditional theistic reason – religious experience. (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)

Maurice Merleau-Ponty is often interpreted as claiming that opportunities for action are directly present in perceptual experience. However, he does not provide much evidence for how or why this would occur, and one can doubt that this is an appropriate interpretation of his phenomenological descriptions. In particular, it could be argued the Merleau-Pontyian descriptions mistakenly attribute pre-perceptual or post-perceptual elements such as allocation of attention or judgment to the perceptual experience itself. This paper argues for the Merleau-Pontyian idea that opportunities (...) for action are present in perceptual experience. It further argues that the phenomenological descriptions can be supported and explained via reference to contemporary research on motor imagery. In particular, it will be argued that non-conscious, covert motor imagery is used to prepare for and regulate skilled actions, and that it is plausible that this imagery combines with perception (likely vision) to create a single experience of the environment as enabling action. The paper will also show that contemporary views on motor imagery are broadly compatible with Merleau-Ponty’s aims. (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)

Many philosophers still countenance senses or meanings in the broadly Fregean vein. However, it is difficult to posit the existence of senses without positing quite a lot of them, including at least one presenting every entity in existence. I discuss a number of Cantorian paradoxes that seem to result from an overly large metaphysics of senses, and various possible solutions. Certain more deflationary and nontraditional understanding of senses, and to what extent they fare better in solving the problems, are also (...) discussed. In the end, it is concluded that one must divide senses into various ramified-orders in order to avoid antinomy, but that the philosophical justification of such orders is, as yet, still somewhat problematic. (shrink)

Scientists have been arguing for more than 25 years about whether it is a good idea to collect voucher specimens from particularly vulnerable biological populations. Some think that, obviously, scientists should not be harvesting organisms from, for instance, critically endangered species. Others think that, obviously, it is the special job of scientists to collect precisely such information before any chance of retrieving it is forever lost. The character, extent, longevity, and span of the ongoing disagreement indicates that this is likely (...) to be a hard problem to solve. Nonetheless, the aim of this paper is to help field biologists figure out what do to when collecting a voucher specimen risks extinction. Here I present and assess varying practices of specimen collection for both extant and extinct species in order to compare and contrast cases where extinction risk both is and is not a problem. When it comes to taking vouchers from extant species at some risk of extinction, I determine that those advocating for conservative approaches to collection as well as those advocating for liberal information-gathering practices have good reasons to assess things in the way they each do. This means that there is unlikely to be a decisive, one-size-fits-all response to this problem. Still, progress can be made. We can acknowledge the risks of proceeding in either manner, as well as the uncertainty about how best to proceed. We can proceed as thoughtfully as possible, and be ready to articulate a rationale for whichever procedure is used in any particular case. (shrink)

Pierre-Henri Castel provides a short but richly argued precis of his recently published two-volume 1,000-page masterwork on the history of obsessive-compulsive disorder. Having not read the as-yet-untranslated books, I write this commentary from Plato’s cave, trying to infer the reality of Castel’s analysis from expository shadows. I am unlikely to be more successful than Plato’s poor troglodytes, so I apologize ahead of time for any misunderstandings. Moreover, I cannot assess Castel’s detailed evidential case for his substantive theses.1 I thus focus (...) on some key philosophical issues that impinge on an area of my concern, the concept of mental disorder. Castel is a rare breed of French.. (shrink)

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

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

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

Warning: includes two somewhat graphic images. This paper is an effort to lay out a taxomony of conceptual relations between the domains of the sublime and the religious. -/- .

This essay argues that reparations for wrongs by one's ancestors can be justified. Differential benefits to those descended from victims of one's ancestors is discrimination which can be justified by one's right to be partial to one's ancestors, doing what they, with clearer thinking, would have done--namely compensating their victims. So, while there is no obligation to discriminate, one has a right to, in virtue of one's partiality towards one's ancestors.

This paper discusses certain problems arising within the treatment of the senses of functions in Alonzo Church's Logic of Sense and Denotation. Church understands such senses themselves to be "sense-functions," functions from sense to sense. However, the conditions he lays out under which a sense-function is to be regarded as a sense presenting another function as denotation allow for certain undesirable results given certain unusual or "deviant" sense-functions. Certain absurdities result, e.g., an argument can be found for equating any two (...) senses of the same type. An alternative treatment of the senses of functions is discussed, and is thought to do better justice to Frege's original theory. (shrink)

The declared goal of this paper is to fill this gap: “... cognitive systems research needs questions or challenges that define progress. The challenges are not (yet more) predictions of the future, but a guideline to what are the aims and what would constitute progress.” – the quotation being from the project description of EUCogII, the project for the European Network for Cognitive Systems within which this formulation of the ‘challenges’ was originally developed (http://www.eucognition.org). So, we stick out our neck (...) and formulate the challenges for artificial cognitive systems. These challenges are articulated in terms of a definition of what a cognitive system is: a system that learns from experience and uses its acquired knowledge (both declarative and practical) in a flexible manner to achieve its own goals. (shrink)

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

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

This is an attempt to clarify the nature of extreme, or complete, “wokeness” in its modern sense. The central thesis is that it is an inverted form of fascism, and thereby even worse than some of its critics assume. In fact, it is far worse than ordinary fascism whether or not it is correct to see it as an inverted form. As this is a thesis, it is not a definition. Therefore, this thesis could certainly be mistaken. But if it (...) is, then sound criticisms of the explanation would be needed to refute it. (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)

It would be an understatement to say that Russell was interested in Cantorian diagonal paradoxes. His discovery of the various versions of Russell’s paradox—the classes version, the predicates version, the propositional functions version—had a lasting effect on his views in philosophical logic. Similar Cantorian paradoxes regarding propositions—such as that discussed in §500 of The Principles of Mathematics—were surely among the reasons Russell eventually abandoned his ontology of propositions.1 However, Russell’s reasons for abandoning what he called “denoting concepts”, and his rejection (...) of similar “semantic dualisms” such as Frege’s theory of sense and reference—at least in “On Denoting”—made no explicit mention of any Cantorian paradox. My aim in this paper is to argue that such paradoxes do pose a problem for certain theories such as Frege’s, and early Russell’s, about how definite descriptions are meaningful. My first aim is simply to lay out the problem I have in mind. Next, I shall turn to arguing that the theories of descriptions endorsed by Frege and by Russell prior to “On Denoting” are susceptible to the problem. Finally, I explore what responses a.. (shrink)

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

While theories of animal rights maintain that nonhuman animals possess prima facie rights, such as the right to life, the dominant philosophies of animal rights permit the killing of nonhuman animals for reasons of self-defense. I argue that the animal rights discourse on defensive killing is problematic because it seems to entail that any nonhuman animal who poses a threat to human beings can be justifiably harmed without question. To avoid this human-privileged conclusion, I argue that the animal rights position (...) needs to both (1) deploy a new criterion of liability to defensive harm, and (2) seriously consider whether human beings themselves are liable to defensive harm in human-animal conflicts. By shifting the focus to whether humans are liable to defensive harm, we will find that in many situations of human-animal conflict, human beings are actually the ones liable to be harmed because they are often culpable or, to some degree, morally responsible for posing an unjust threat to nonhuman animals. (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)

How does an engagement with religious traditions (broadly construed) illuminate and complicate the task of thinking through the ethics of eating? In this introduction, we survey some of the many food ethical issues that arise within various religious traditions and also consider some ethical positions that such traditions take on food. To say the least, we do not attempt to address all the ethical issues concerning food that arise in religious contexts, nor do we attempt to cover every tradition’s take (...) on food. We look at just a few traditions and a few interesting writings on food ethics and religion: What do they say about the ethics of eating? Why do they say these things? Here we use the terms “food ethics” and “religion” ecumenically as big tents under which many importantly different sorts of things may be grouped. Among the wide range of food ethical issues we consider in this chapter, for example, are religious views about the ethics of keeping, hurting, and killing animals, killing plants, dominion over creation, wastefulness, purity, blessing, atonement, and the connection between food and character. We realize, moreover, that it might be a stretch to label some of the views engaged by selected readings in this chapter as “religious” on a stringent understanding of that term; Lisa Kemmerer’s “Indigenous Traditions,” for instance, addresses some views that are recognizably spiritual but perhaps not religious in a strict sense. We hope that our ecumenical usage of the term can bring these important traditions to bear on the discussion without reducing them to something they are not. (shrink)

Arguments for handgun ownership typically appeal to handguns’ value as an effective means of self-protection. Against this, critics argue that private ownership of handguns leads to more social harm than it prevents. Both sides make powerful arguments, and in the absence of a reasonable consensus regarding the merits of gun ownership, David DeGrazia proposes two gun control policies that ‘reasonable disputants on both sides of the issue have principled reasons to accept.’ These policies hinge on his claim that ‘an even-handed (...) examination of the available evidence casts considerable doubt on the thesis that handgun ownership enables more adequate self-defense and physical security in the home.’ We challenge DeGrazia’s ‘moderate gun control’ policies on both philosophical and empirical grounds. Philosophically, we show that the arguments he gives in support of his proposed gun-control measures are too narrow and incomplete to warrant his conclusions about what kind of gun control there ought to be, even if he is right about the empirical evidence. Empirically, we argue that a truly even-handed examination of the evidence makes DeGrazia’s claim that gun ownership is on average self-defeating much less plausible than he supposes. Our conclusion is that DeGrazia has failed to establish his claim that gun ownership is self-defeating and therefore has no case for the gun-control policies he suggests. (shrink)

Until quite recently, it has appeared that eleutheric-conjectural libertarianism (ECL) could not avoid some degree of, very broad, interpersonal utility comparisons (IUCs). And this has been objected to by some of its libertarian critics, notably economists and propertarians. Indeed, this aspect does make the theory less compatible with economics than the rest of the theory and it is thereby a significant problem. This is because one of the main problems that ECL is intended to solve is how an abstract theory (...) of liberty can be compatible with the pro-free-market conclusions of many economists. Being more compatible with economics should make ECL theory more comprehensive, comprehensible, and cogent. (shrink)

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

Russell is often taken as a forerunner of the Quinean position that “to be is to be the value of a bound variable”, whereupon the ontological commitment of a theory is given by what it quantifies over. Among other reasons, Russell was among the first to suggest that all existence statements should be analyzed by means of existential quantification. That there was more to Russell’s metaphysics than what existential quantifications come out as true is obvious in the earlier period where (...) Russell still made a distinction between existence and being/subsistence. But even the later Russell, including that of the Logical Atomism lectures period, would not have understood ontological questions to be first and foremost questions of quantification. He would take fundamentality to be important too, which explains in part his assertions to the effect the the values of individual variables have a reality not attributable to values of higher-order variables, even ineliminable higher-order variables. (shrink)

Frege developed the theory of sense and reference while composing his Grundgesetze and considering its philosophical implications. The Grundgesetze is thus the most important test case for the application of this theory of meaning. I argue that evidence internal and external to the Grundgesetze suggests that he thought of senses as having a structure isomorphic to the Grundgesetze expressions that would be used to express them, which entails a theory about the identity conditions of senses that is relatively fine-grained, though (...) still coarser than some other commentators have suggested. While this interpretation does not make Frege’s ontological commitment to the denizens of a “third realm” as profligate as some have alleged, it is sufficiently bloated to lead to Cantorian paradoxes and diagonal contradictions independent of his Basic Law V. (shrink)