When Mill published The Subjection of Women in 1869 he wanted to replace the domination of one sex by the other laws based on ‘a principle of perfect equality’. It is widely complained, however, that even advanced countries have still failed to achieve equality between the sexes. Power and wealth and influence are still overwhelmingly in the hands of men. But equalities of these kinds are not the ones required by the principle of equality that Mill had in mind; and, (...) furthermore, a principle that demanded them would actually be incompatible with Mill’s. The conclusion is not, however, that social policies dealing with men and women are all they should be. It is just that although the fundamental problems of feminism could be – and to a considerable extent still can be – expressed in terms of requirements for justice and equality, we have now reached a stage where concentrating on these ideas can distort the real problems, and may actually impede the kind of progress that is needed. (shrink)

Selgelid and Koplin’s article ‘Kidney Sales and the Burden of Proof’ (K&S 2019) presents a series of detailed and persuasive arguments, intended to demolish my own arguments against the prohibition of organ selling. And perhaps they might succeed, if the case described by the authors were anything like the one I actually make. However, notwithstanding the extensive quotations and the detailed explanations of the way I supposedly argue, this account of my position comprehensively mistakes both the conclusions I reach and (...) the arguments I give for them. -/- I know that there are around many misconceptions about my views on this subject, but I have always hoped they could not survive a reading of what I had actually written. I have just—after a gap of many years—looked again at the two most recent of the texts Koplin and Selgelid refer to, and it goes without saying that I can see various things I could now do better; but I do still find these misinterpretations hard to understand. And since anyone with nothing to go on but this article would reasonably conclude that the original texts were not worth reading, I am grateful to the editors for the opportunity to try to set the record straight. -/- I presume not many readers would be interested in a detailed comparative commentary on the texts, showing where this account gets my intentions wrong. I shall try instead to explain how what I do mean—and what I think I say—diverges from what is said here, and then go on to a brief outline of what my arguments and conclusions really are. I hope this may also give some sense of why, for all the opposition I have encountered since I was first drawn into this debate, I persist in thinking that the work I have been doing is important not only for this topic but for analysis in practical ethics more generally. (shrink)

Janet Radcliffe Richards’ The Ethics of Transplants outlines a novel framework for moral inquiry in practical contexts and applies it to the topic of paid living kidney donation. In doing so, Radcliffe Richards makes two key claims: that opponents of organ markets bear the burden of proof, and that this burden has not yet been satisfied. This paper raises four related objections to Radcliffe Richards’ methodological framework, focusing largely on how Radcliffe (...) class='Hi'>Richards uses this framework in her discussion of kidney sales. We conclude that Radcliffe Richards’ method of inquiry hinders our ability to answer the very question that it ought to help us resolve: What is there best reason to do, all things considered? (shrink)

The assumption that procuring more organs will save more lives has inspired increasingly forceful calls to increase organ procurement. This project, in contrast, directly questions the premise that more organ transplantation means more lives saved. Its argument begins with the fact that resources are limited and medical procedures have opportunity costs. Because many other lifesaving interventions are more cost‐effective than transplantation and compete with transplantation for a limited budget, spending on organ transplantation consumes resources that could have been used to (...) save a greater number of other lives. This argument has not yet been advanced in debates over expanded procurement and could buttress existing concerns about expanded procurement. To support this argument, I review existing empirical data on the cost‐effectiveness of transplantation and compare them to data on interventions for other illnesses. These data should motivate utilitarians and others whose primary goal is maximizing population‐wide health benefits to doubt the merits of expanding organ procurement. I then consider two major objections: one makes the case that transplant candidates have a special claim to medical resources, and the other challenges the use of cost‐effectiveness to set priorities. I argue that there is no reason to conclude that transplant candidates’ medical interests should receive special priority, and that giving some consideration to cost‐effectiveness in priority setting requires neither sweeping changes to overall health priorities nor the adoption of any specific, controversial metric for assessing cost‐effectiveness. Before searching for more organs, we should first ensure the provision of cost‐effective care. (shrink)

If business requires ethical solutions that are viable in the liminal landscape between concepts and corporate office, then business ethics and corporate social responsibility should offer tools that can survive the trek, that flourish in this well-traveled, but often unarticulated, environment. Indeed, feminist ethics produces, accesses, and engages such tools. However, work in BE and CSR consistently conflates feminist ethics and feminine ethics and care ethics. I offer clarification and invoke the analytic power of three feminist ethicists 'in action' whose (...) investigations into the "grey zones" of harms; identity and representational conventions; and "asymmetrical reciprocity" harmonize with business ethics' requirements. (shrink)

Understanding science requires appreciating the values it presupposes and its social context. Both the values that scientists hold and their social context can affect scientific communication. Philosophers of science have recently begun studying scientific communication, especially as it relates to public policy. Some have proposed “guiding principles for communicating scientific findings” to promote trust and objectivity. This paper contributes to this line of research in a novel way using behavioural experimentation. We report results from three experiments testing judgments about the (...) trustworthiness, competence and objectivity of scientists. More specifically, we tested whether such judgments are affected by three factors: consulting or not consulting nonscientists, conducting research under a restrictive or non-restrictive governmental communication policy, and the source of a lab’s funding (i.e., government funding, private funding, or a combination of the two). We found that each of these factors affects ordinary judgments of trustworthiness, competence and objectivity. These findings support several recommendations that could help improve scientific communication and communication policies. (shrink)

What we value, like, endorse, want, and prefer changes over the course of our lives. Richard Pettigrew presents a theory of rational decision making for agents who recognise that their values will change over time and whose decisions will affect those future times.

This paper examines visual representation from a distinctive, interdisciplinary perspective that draws on ethics, visual studies and critical race theory. Suggests ways to clarify complex issues of representational ethics in marketing communications and marketing representations, suggesting an analysis that makes identity creation central to societal marketing concerns. Analyzes representations of the exotic Other in disparate marketing campaigns, drawing upon tourist promotions, advertisements, and mundane objects in material culture. Moreover, music is an important force in marketing communication: visual representations in music (...) promotions are also explored as data for inquiry. Offers an alternative to phenomenologically based approaches in marketing and consumer research scholarship that use consumer responses to generate data. Contributes additional insight into societal marketing and places global marketing processes within the intersection of ethics, aesthetics and representation. (shrink)

According to certain normative theories in epistemology, rationality requires us to be logically omniscient. Yet this prescription clashes with our ordinary judgments of rationality. How should we resolve this tension? In this paper, I focus particularly on the logical omniscience requirement in Bayesian epistemology. Building on a key insight by Hacking :311–325, 1967), I develop a version of Bayesianism that permits logical ignorance. This includes: an account of the synchronic norms that govern a logically ignorant individual at any given time; (...) an account of how we reduce our logical ignorance by learning logical facts and how we should update our credences in response to such evidence; and an account of when logical ignorance is irrational and when it isn’t. At the end, I explain why the requirement of logical omniscience remains true of ideal agents with no computational, processing, or storage limitations. (shrink)

Conditionalization is one of the central norms of Bayesian epistemology. But there are a number of competing formulations, and a number of arguments that purport to establish it. In this paper, I explore which formulations of the norm are supported by which arguments. In their standard formulations, each of the arguments I consider here depends on the same assumption, which I call Deterministic Updating. I will investigate whether it is possible to amend these arguments so that they no longer depend (...) on it. As I show, whether this is possible depends on the formulation of the norm under consideration. (shrink)

The increasing application of artificial intelligence (AI) to healthcare raises both hope and ethical concerns. Some advanced machine learning methods provide accurate clinical predictions at the expense of a significant lack of explainability. Alex John London has defended that accuracy is a more important value than explainability in AI medicine. In this article, we locate the trade-off between accurate performance and explainable algorithms in the context of distributive justice. We acknowledge that accuracy is cardinal from outcome-oriented justice because it helps (...) to maximize patients’ benefits and optimizes limited resources. However, we claim that the opaqueness of the algorithmic black box and its absence of explainability threatens core commitments of procedural fairness such as accountability, avoidance of bias, and transparency. To illustrate this, we discuss liver transplantation as a case of critical medical resources in which the lack of explainability in AI-based allocation algorithms is procedurally unfair. Finally, we provide a number of ethical recommendations for when considering the use of unexplainable algorithms in the distribution of health-related resources. (shrink)

Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had many partial (...) successes, and generated important advances in logical theory and metatheory, both at the time and since. The article discusses the historical background and development of Hilbert’s program, its philosophical underpinnings and consequences, and its subsequent development and influences since the 1930s. (shrink)

In this paper I defend what I call the argument from epistemic reasons against the moral error theory. I argue that the moral error theory entails that there are no epistemic reasons for belief and that this is bad news for the moral error theory since, if there are no epistemic reasons for belief, no one knows anything. If no one knows anything, then no one knows that there is thought when they are thinking, and no one knows that they (...) do not know everything. And it could not be the case that we do not know that there is thought when we believe that there is thought and that we do not know that we do not know everything. I address several objections to the claim that the moral error theory entails that there are no epistemic reasons for belief. It might seem that arguing against the error theory on the grounds that it entails that no one knows anything is just providing a Moorean argument against the moral error theory. I show that even if my argument against the error theory is indeed a Moorean one, it avoids Streumer's, McPherson's and Olson's objections to previous Moorean arguments against the error theory and is a more powerful argument against the error theory than Moore's argument against external world skepticism is against external world skepticism. (shrink)

Families play an essential role in deceased organ procurement. As the person cannot directly communicate his or her wishes regarding donation, the family is often the only source of information regarding consent or refusal. We provide a systematic description and analysis of the different roles the family can play, and actions the family can take, in the organ procurement process across different jurisdictions and consent systems. First, families can inform or update healthcare professionals about a person’s donation wishes. Second, families (...) can authorize organ procurement in the absence of deceased’s preferences and the default is not to remove organs, and oppose donation where there is no evidence of preference but the default is to presume consent; in both cases, the decision could be based on their own wishes or what they think the deceased would have wanted. Finally, families can overrule the known wishes of the deceased, which can mean preventing donation, or permitting donation when the deceased refused it. We propose a schema of 4 levels on which to map these possible family roles: no role, witness, surrogate, and full decisional authority. We conclude by mapping different jurisdictions onto this schema to provide a more comprehensive understanding of the consent system for organ donation and some important nuances about the role of families. This classificatory model aims to account for the majority of the world’s consent systems. It provides conceptual and methodological guidance that can be useful to researchers, professionals, and policymakers involved in organ procurement. (shrink)

Rescorla (Erkenntnis, 2020) has recently pointed out that the standard arguments for Bayesian Conditionalization assume that whenever I become certain of something, it is true. Most people would reject this assumption. In response, Rescorla offers an improved Dutch Book argument for Bayesian Conditionalization that does not make this assumption. My purpose in this paper is two-fold. First, I want to illuminate Rescorla’s new argument by giving a very general Dutch Book argument that applies to many cases of updating beyond those (...) covered by Conditionalization, and then showing how Rescorla’s version follows as a special case of that. Second, I want to show how to generalise R. A. Briggs and Richard Pettigrew’s Accuracy Dominance argument to avoid the assumption that Rescorla has identified (Briggs and Pettigrew in Noûs, 2018). In both cases, these arguments proceed by first establishing a very general reflection principle. (shrink)

Many philosophers nowadays believe Frege was right about belief, but wrong about language: The contents of beliefs need to be individuated more finely than in terms of Russellian propositions, but the contents of utterances do not. I argue that this 'hybrid view' cannot offer no reasonable account of how communication transfers knowledge from one speaker to another and that, to do so, we must insist that understanding depends upon more than just getting the references of terms right.

This article draws in particular on existential-phenomenological notions of “witnessing.” Witnessing, often conceived in the context of testimony, obviously involves epistemological concerns, such as how we come to know through the experiences and reports of others. I shall argue, however, that witnessing as a mode of intersubjectivity offers understandings that involve questions about how people come to be. More specifically, I want to consider the positive potential of “witnessing” to disrupt intersubjective completeness or closure, particularly as this relates to work (...) on organizing subjectivities, as well as, in the field of organization studies. (shrink)

All humans have an equal basic moral status. They possess the same fundamental rights, and the comparable interests of each person should count the same in calculations that determine social policy. Neither supposed racial differences, nor skin color, sex, sexual orientation, ethnicity, intelligence, nor any other differences among humans negate their fundamental equal worth and dignity. These platitudes are virtually universally affirmed. A white supremacist racist or an admirer of Adolf Hitler who denies them is rightly regarded as beyond the (...) pale of civilized dialogue. However, a very simple line of argument developed by Peter Singer challenges our understanding of these platitudes and forces us to rethink the basis and nature of the moral equality of all humans. What I call the “Singer Problem” arises if one accepts that the morally significant cognitive capacities that are relevant to the determination of the fundamental moral status of a being vary from individual to individual by degree. The problem is to specify a moral principle determining fundamental moral status that assigns a superior status to humans compared to other animals on the basis of the superior cognitive capacities of humans but also assigns all human persons an equal fundamental moral status regardless of their differing cognitive capacities. More broadly posed, the problem is to specify moral principles that yield intuitively satisfactory implications for the treatment of human individuals and other individual animals given that cognitive capacities differ across species and individuals. A search for a resolution of the Singer problem leads to disappointing results. (shrink)

The context of international health research involving human subjects, and this should appear obvious, is the human community. As such, basic questions of how human beings should be treated by other human beings, particularly in situations of unequal power – e.g., in the form of control, choice, or opportunity – lay at the foundations of related ethical discourse when ethics are discussed at all. I trace a narrative that follows upon a recent revision process of international guidelines for biomedical research (...) involving human subjects. I focus in particular upon the issue of a standard of care. In the second section, I draw upon philosophers John Rawls, Claudia Card, and Allen Buchanan to discuss concerns regarding the 'least advantaged members of society' in the context of global inequality. The paper includes reflections upon pedagogy in courses focused upon international health research involving human subjects. (shrink)

This paper is concerned with neo-Fregean accounts of reference to abstract objects. It develops an objection to the most familiar such accounts, due to Bob Hale and Crispin Wright, based upon what I call the 'proliferation problem': Hale and Wright's account makes reference to abstract objects seem too easy, as is shown by the fact that any equivalence relation seems as good as any other. The paper then develops a response to this objection, and offers an account of what it (...) is for abstracta to exist that is Fregean in spirit but more robust than familiar views. (shrink)

Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but have been (...) expanded by the development of sophisticated methods to study the properties of such systems using proof and model theory. In parallel with this evolution of logical formalisms as tools for articulating mathematical theories (broadly speaking), much progress has been made in the quest for a mechanization of logical inference and the investigation of its theoretical limits, culminating recently in the development of new foundational frameworks for mathematics with sophisticated computer-assisted proof systems. In addition, logical formalisms developed by logicians in mathematical and philosophical contexts have proved immensely useful in describing theories and systems of interest to computer scientists, and to some degree, vice versa. Three examples of the influence of logic in computer science are automated reasoning, computer verification, and type systems for programming languages. (shrink)

An investigation of Frege’s various contributions to the study of language, focusing on three of his most famous doctrines: that concepts are unsaturated, that sentences refer to truth-values, and that sense must be distinguished from reference.

Our reluctance to demystify grief is a sign of the distinctive obligation and discomfort that people feel towards those who have died. These feelings, however, are instructive about the nature of grief. As a vehicle of a living person’s relation to the dead, grief is mysterious—and we are rightly reluctant to take that mystery away. But grief is not to be avoided by philosophy on that account. I defend a less Romantic view of grief, in which a grieving person’s experience (...) of “normal” grief: 1) is felt to require an objectively recognized loss; 2) is felt to be dedicated to that lost object; 3) seems to most people to be something that she ought to feel; and 4) probably ought not to be medicalized, nor consequently medicated. This view of grief affords an understanding and appreciation of this rather special and important emotion without reducing its mystery. (shrink)

Accuracy arguments for the core tenets of Bayesian epistemology differ mainly in the conditions they place on the legitimate ways of measuring the inaccuracy of our credences. The best existing arguments rely on three conditions: Continuity, Additivity, and Strict Propriety. In this paper, I show how to strengthen the arguments based on these conditions by showing that the central mathematical theorem on which each depends goes through without assuming Additivity.

The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux for classical (and intuitionistic) logic. One particular method for systematically obtaining calculi for all finite-valued logics was invented independently by several researchers, with slight variations in design and presentation. The main aim of this report is to develop the proof theory of finite-valued first order (...) logics in a general way, and to present some of the more important results in this area. In Systems covered are the resolution calculus, sequent calculus, tableaux, and natural deduction. This report is actually a template, from which all results can be specialized to particular logics. (shrink)

The Intergovernmental Panel on Climate Change has developed a novel framework for assessing and communicating uncertainty in the findings published in their periodic assessment reports. But how should these uncertainty assessments inform decisions? We take a formal decision-making perspective to investigate how scientific input formulated in the IPCC’s novel framework might inform decisions in a principled way through a normative decision model.

This paper discusses Frege's account of definition by induction in Grundgesetze and the two key theorems Frege proves using it.

Longtermism is the view that the most urgent global priorities, and those to which we should devote the largest portion of our resources, are those that focus on (i) ensuring a long future for humanity, and perhaps sentient or intelligent life more generally, and (ii) improving the quality of the lives that inhabit that long future. While it is by no means the only one, the argument most commonly given for this conclusion is that these interventions have greater expected goodness (...) per unit of resource devoted to them than each of the other available interventions, including those that focus on the health and well-being of the current population. In this paper, I argue that, even if we grant the consequentialist ethics upon which this argument depends, and even if we grant one of the axiologies that are typically paired with that ethics to give the argument, we are not morally required to choose an option that maximises expected utility; indeed, we might not even be permitted to do so. Instead, I will argue, if the argument's consequentialism is correct, we should choose using a decision theory that is sensitive to risk, and allows us to give greater weight to worse-case outcomes than expected utility theory does. And, I will show, such decision theories do not always recommend longtermist interventions. Indeed, sometimes, they recommend exactly the opposite: sometimes, they recommend hastening human extinction. Many, though not all, will take this as a reductio of the consequentialism or the axiology of the argument. I remain agnostic on the conclusion we should draw. (shrink)

The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. We (...) end the paper by investigating the conditions necessary and sufficient for a desirability function to be an expected utility. It turns out that the additional conditions imply highly implausible epistemic principles. (shrink)

We often learn the opinions of others without hearing the evidence on which they're based. The orthodox Bayesian response is to treat the reported opinion as evidence itself and update on it by conditionalizing. But sometimes this isn't feasible. In these situations, a simpler way of combining one's existing opinion with opinions reported by others would be useful, especially if it yields the same results as conditionalization. We will show that one method---upco, also known as multiplicative pooling---is specially suited to (...) this role when the opinions you wish to pool concern hypotheses about chances. The result has interesting consequences: it addresses the problem of disagreement between experts; and it sheds light on the social argument for the uniqueness thesis. (shrink)

As is well-known, the formal system in which Frege works in his Grundgesetze der Arithmetik is formally inconsistent, Russell’s Paradox being derivable in it.This system is, except for minor differ...

Effective altruism sounds so innocuous—who could possibly be opposed to doing good more effectively? Yet it has inspired significant backlash in recent years. This paper addresses some common misconceptions and argues that the core “beneficentric” ideas of effective altruism are both excellent and widely neglected. Reasonable people may disagree on details of implementation, but all should share the basic goals or values underlying effective altruism.

How much does rationality constrain what we should believe on the basis of our evidence? According to this book, not very much. For most people and most bodies of evidence, there is a wide range of beliefs that rationality permits them to have in response to that evidence. The argument, which takes inspiration from William James' ideas in 'The Will to Believe', proceeds from two premises. The first is a theory about the basis of epistemic rationality. It's called epistemic utility (...) theory, and it says that what it is epistemically rational for you to believe is what it would be rational for you to choose if you were given the chance to pick your beliefs and, when picking them, you were to care only about their epistemic value. So, to say which beliefs are permitted, we must say how to measure epistemic value, and which decision rule to use when picking your beliefs. The second premise is a claim about attitudes to epistemic risk, and it says that rationality permits many different such attitudes. These attitudes can show up in epistemic utility theory in two ways: in the way you measure epistemic value; and in the decision rule you use to pick beliefs. This book explores the latter. The result is permissivism about epistemic rationality: different attitudes to epistemic risk lead to different choices of prior beliefs; given most bodies of evidence, different priors lead to different posteriors; and even once we fix your attitudes to epistemic risk, if they are at all risk-inclined, there is a range of different priors and therefore different posteriors they permit. (shrink)

A framework is developed for understanding what is “taken for granted” both in philosophy and in life generally, which may serve to orient philosophical inquiry and make it more effective. The framework takes in language and its development, as well as mathematics, logic, and the empirical sphere with particular reference to the exigencies of life. It is evaluated through consideration of seven philosophical issues concerned with such topics as solipsism, sense data as the route to knowledge, the possible reduction of (...) geometry to logic, and the existence and status of human rights. Various dichotomies and the notion of continuity are evidently highly strategic. (shrink)

Religion emerged among early humans because both purposive and non-purposive explanations were being employed but understanding was lacking of their precise scope and limits. Given also a context of very limited human power, the resultant foregrounding of agency and purposive explanation expressed itself in religion’s marked tendency towards anthropomorphism and its key role in legitimizing behaviour. The inevitability of death also structures the religious outlook; with ancestors sometimes assigned a role in relation to the living. Subjective elements such as the (...) experience of dreams and the internalization of moral precepts also play their part. Two important sources of variation among religions concern the adoption of a dualist or non-dualist perspective, and whether or not the religion’s early political experience is such as to generate a systematic doctrine subordinating politics to religion. The near ubiquity and endurance of religion are further illuminated by analysis of its functions and ideological role. Religion tends to be socially conservative but has the potential to be revolutionary. (shrink)

Our values change. What we value, want, desire, prefer, and how much; for nearly everyone, these will be different at different times in their life. These changes can be gradual or abrupt; they can be long-lasting or short-lived; and they can be induced by forces outside yourself or they can come from within or they can have no specific catalyst at all. Such preference change raises a number of questions for our theorising about rational choice, and these have been discussed (...) at length. In §2 and §3, I’ll outline two of these questions along with some of the putative solutions that have been proposed. But preference change also raises questions for our theorising about autonomy, and these have hardly been considered at all. In §4, I’ll outline three problems for personal autonomy; and in §5, I’ll outline one problem for political autonomy. In §6, I conclude. (shrink)

Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. (shrink)

In this chapter we explain what experimental philosophy of science is, how it relates to the philosophy of science, and STS more broadly, and what sorts of contributions is can make to ongoing research in the philosophy of science.

This paper explores the relationship between Hume's Prinicple and Basic Law V, investigating the question whether we really do need to suppose that, already in Die Grundlagen, Frege intended that HP should be justified by its derivation from Law V.

Textbook on Gödel’s incompleteness theorems and computability theory, based on the Open Logic Project. Covers recursive function theory, arithmetization of syntax, the first and second incompleteness theorem, models of arithmetic, second-order logic, and the lambda calculus.

After a brief introduction and orientation (section I), this dialogue between Levinasian and Beckerian thought is approached along the lines of two major themes concerning consciousness which emerge in very different contexts and registers in their work (sections II and III), and one tantalizing question that is raised with great force by the dialogue (section IV). The two themes revolve around the subtle dialectical interplay that runs throughout the thought of both Levinas and Becker – the switching between internality and (...) externality, non-rational and rational; otherness and sameness; life and death – an interplay that is summed up in the dialectic between non-reflexive and reflexive consciousness. The Beckerian and Levinasian notions of the non-reflexive consciousness (section II) relate to their respective and in many ways convergent claims about a non-rational primal human state characterized by global vulnerability, awe and guilt, especially before the face of the other. Their analyses of reflexive consciousness (section III) relate to their interpretations of the problematic ideal of the free, self-constituting and self-mastering individual, and the impetus located therein towards the repression of what is Other to the self. Finally (section IV), the question is raised as to whether (and to what extent), following Levinas, sources of compelling ethical value might be legitimately understood as emerging out of Becker’s conception of primordial human vulnerability. (shrink)

The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry. Similarly, advancements in algebra challenged the view that temporal intuition provides a foundation for both it and arithmetic. Mathematics seemed increasingly detached from experience as well as its form; moreover, with advances in symbolic logic, mathematical inference also seemed independent of intuition. This paper considers various philosophical responses to (...) these changes, focusing on the idea of modifying Kant’s conception of intuition in order to accommodate the increasing abstractness of mathematics. It is argued that far from clinging to an outdated paradigm, programs based on new conceptions of intuition should be seen as motivated by important philosophical desiderata, such as the truth, apriority, distinctiveness and autonomy of mathematics. (shrink)

When we abandon the neoliberal fiction that one is independent on the grounds that it is a-historic and antisocial, we realize that everyone is dependent and interdependent. In a media-driven society the self-identity of the individual is formed within the framework of the culture-ideology of consumerism from early childhood. As a result, both the environmental and social destruction have intensified. In the global era, or in the era of the global environmental crisis, self-identity as a precondition for environmentally sustainable care (...) of the self should be based on the culture-ideology of human rights and responsibilities, and on conscious self-limitation which realizes that one’s prosperity and security cannot come at the expense of others. Care of the self is about ensuring the habitability of the global environment as the primary interest of each individual. (shrink)

Methods available for the axiomatization of arbitrary finite-valued logics can be applied to obtain sound and complete intelim rules for all truth-functional connectives of classical logic including the Sheffer stroke and Peirce’s arrow. The restriction to a single conclusion in standard systems of natural deduction requires the introduction of additional rules to make the resulting systems complete; these rules are nevertheless still simple and correspond straightforwardly to the classical absurdity rule. Omitting these rules results in systems for intuitionistic versions of (...) the connectives in question. (shrink)

This paper presents a puzzle in the form of a tension between two things: (1) data points about what intuitively count as good guesses to a question given an agent's subjective probabilities, and (2) plausible strategic norms of inquiry that tell us how to go about answering a question. Recent theories of guessing and good guessing have acknowledged this puzzle in one form or another, and they aim to get around it by appealing to some sort of contextualism. But I (...) argue that the puzzle is more pressing than has been appreciated, that it makes it hard to understand how individually good guesses can form part of an overall rational inquiry, and that the appeal to contextualism in response to it relies on a very implausible kind of semantic blindness. In other words, I argue that the puzzle stands as a serious challenge to our understanding of how good guessing relates to rational inquiry. (shrink)