Martin Smith has recently proposed, in this journal, a novel and intriguing approach to puzzles and paradoxes in evidence law arising from the evidential standard of the Preponderance of the Evidence. According to Smith, the relation of normic support provides us with an elegant solution to those puzzles. In this paper I develop a counterexample to Smith’s approach and argue that normic support can neither account for our reluctance to base affirmative verdicts on bare statistical evidence nor resolve the pertinent (...) paradoxes. Normic support is, as a consequence, not a successful epistemic anti-luck condition. (shrink)

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s Paradoxien . This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

_Paradoxes of the Infinite_ presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s _Paradoxien_. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

_Paradoxes of the Infinite_ presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s _Paradoxien_. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction to the masterpiece, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

According to some, there is a problem concerning the emotions we feel toward fictional entities such as Anna Karenina, Werther and the like. We feel pity, fear, and sadness toward them, but how is that possible? “We are saddened, but how can we be? What are we sad about? How can we feel genuinely and involuntarily sad, and weep, as we do know that no one has suffered or died?” (Radford, in: Proceedings of the Aristotelian Society, 1975). This is the (...) paradox of fiction which is based on the assumption that emotions, to be genuine and rational, should be directed toward existent beings. But if beliefs about existence are necessary for us to be rationally moved by something, and such beliefs are lacking when we are moved by fiction (because we do not believe fictional characters and events to be real), then our capacity for an emotional response to fiction is irrational. Consequently, our emotional attitude toward future generations should be considered as irrational as well. But is this really the case? Are there good arguments to consider future and fictional entities as similar from this point of view? Or would it be better to distinguish the two? Is there such a thing as a paradox of the future? If so, how does it relate to the more famous paradox of fiction? (shrink)

The Paradox of the Knower was originally presented by Kaplan and Montague [26] as a puzzle about the everyday notion of knowledge in the face of self-reference. The paradox shows that any theory extending Robinson arithmetic with a predicate K satisfying the factivity axiom K → A as well as a few other epistemically plausible principles is inconsistent. After surveying the background of the paradox, we will focus on a recent debate about the role of epistemic closure (...) principles in the Knower. We will suggest this debate sheds new light on the concept of knowledge which is at issue in the paradox – i.e. is it a “thin” notion divorced from concepts such as evidence or justification, or is it a “thick” notion more closely resembling mathematical provability? We will argue that a number of features of the paradox suggest that the latter option is more plausible. Along the way, we will provide a reconstruction of the paradox using a quantified extension of Artemovʼs [2] Logic of Proofs, as well as a series of results linking the original formulation of the paradox to reflection principles for formal arithmetic. On this basis, we will argue that while the Knower can be understood to motivate a distinction between levels of knowledge, it does not provide a rationale for recognizing a uniform hierarchy of knowledge predicates in the manner suggested by Anderson. (shrink)

The paradox of the Aged Care Act 1997: the marginalisation of nursing discourse This paper examines the marginalisation of nursing discourse, which followed the enactment of the Aged Care Act 1997. This neo‐reform period in aged care, dominated by theories of economic rationalism, enshrined legislation based upon market principles and by implication, the provision of care at the cheapest possible price. This paper exposes some of the gaps in the neo‐reform period and challenges the assertion that the amalgamation of (...) nursing homes and hostels in such an environment can provide better quality of care and life for residents. It argues that this amalgamation entails a transformation towards a social model of care and fails to address the professional healthcare needs of the acutely sick and complex extreme old person and makes evident new gaps in the provision of aged care services. The paper proceeds to present strategies where the future for nursing practice in aged care necessarily involves a judicious balancing of individual cases alongside economic prescriptions of care and ever‐changing public policy initiatives. It concludes that this can be achieved through a more interactive public, professional and advocacy discourse. The methodology involves extensive analysis of public documents including media, academic journals, government reports and interviews with recognised leaders in the field of aged care. The study utilises a critical interpretative framework consistent with the logic of Michel Foucault. (shrink)

Artificial intelligence systems have been widely applied to various contexts, including high-stake decision processes in healthcare, banking, and judicial systems. Some developed AI models fail to offer a fair output for specific minority groups, sparking comprehensive discussions about AI fairness. We argue that the development of AI systems is marked by a central paradox: the less participation one stakeholder has within the AI system’s life cycle, the more influence they have over the way the system will function. This means (...) that the impact on the fairness of the system is in the hands of those who are less impacted by it. However, most of the existing works ignore how different aspects of AI fairness are dynamically and adaptively affected by different stages of AI system development. To this end, we present a use case to discuss fairness in the development of corporate wellness programs using smart wearables and AI algorithms to analyze data. The four key stakeholders throughout this type of AI system development process are presented. These stakeholders are called service designer, algorithm designer, system deployer, and end-user. We identify three core aspects of AI fairness, namely, contextual fairness, model fairness, and device fairness. We propose a relative contribution of the four stakeholders to the three aspects of fairness. Furthermore, we propose the boundaries and interactions between the four roles, from which we make our conclusion about the possible unfairness in such an AI developing process. (shrink)

RESUMO:O presente artigo pretende abordar a forma original com a qual Rousseau focaliza a questão da origem do poder político, tema que é central na teoria política moderna. Em sua obra Do Contrato Social, o autor examina as razões, aparentemente paradoxais, pelas quais alguém, nascido livre, se escravizaria voluntariamente, obedecendo a outro e não a si próprio. Distanciando-se da influência de Hobbes e Locke, o autor apresenta a tese do contrato social, fundado no conceito de vontade geral, como o único (...) meio pelo qual o indivíduo se realizaria enquanto ser humano. Ao assumir sua condição de cidadão, unindo-se a todos em vista do bem comum e não obedecendo a ninguém a não ser a si próprio, o mesmo adquire tanto a igualdade quanto a liberdade civil, condições sem as quais deixaria de existir. Somente dessa forma, cada cidadão, exercendo seus direitos e deveres, seria detentor de parcela da soberania, enquanto membro da vontade geral, no direito de legislar. ABSTRACTThe article aims at discussing the new approach proposed by Rousseau regarding the question of the origin of political power, which is a central aspect of modern political theory. In his masterpiece The Social Contract, the author analyzes the apparently paradoxical reasons why someone born free could become a slave by his own free will, and, as such, subject to the authority of one other than himself. Going beyond the influence of Hobbes and Locke, the author presents the thesis of the social contract, based on the concept of the general will and considered the only way through which man can realize the human condition. By achieving the condition of citizen, each one as his own master and uniting with all others and looking toward the common good, man can reach the necessary conditions for his own existence: the conditions of equality and liberty. (shrink)

By means of an example, shows the possibility of beliefs that are separately rational whilst together inconsistent.

The arrival of coronavirus disease 2019 in South Africa was responded to by a lockdown, which barred people from moving out of their homes unless for serious and stipulated reasons by government. Amongst other things, one of the most remarkable repercussions of the lockdown was the closing of the educational system. The call to reopen the public schools by the Minister of Basic Education after almost 2 months brought contestations from different sects of life, for instance, labour unions, parents and (...) School Governing Body representatives. Mistrust and suspicions developed amongst parents, SGB's unions and the Department of Basic Education as a result. This has seen certain political parties and unions lodging court cases against the reopening decision. This was likely to be a protracted battle as the issue is between life and education. The aim of this research is to discover if these contestations are for the good of the school children or if there is another underlying issue.CONTRIBUTION: This article unveils the different contestations which are important for the South Africans regarding the shaping of the future through educational weapon. The contestations help open our eyes and make awareness as to where our democracy has done well and where it is still lacking. (shrink)

Among Benjamin Libet's experiments on the relationship between consciousness and neural activity, those pointing at a substantive difference between subjective timing of a sensory experience and the experimental measure of the time needed to produce that experience appear particularly interesting. From a subjective standpoint, one is immediately conscious of a sensory experience, whereas, as a result of objective measured time of reaction, unconscious neural activation in the presence of a sensory stimulus begins 500 msec before one being aware of the (...) stimulus. In order to compensate this discrepancy, Libet introduces the notion of antedating. However, there is no fully satisfactory answer to the question about the conditions of possibility for antedating. Therefore, the very notion of antedating is highly problematic, though not infertile: the paradoxes present in this conception foster a profound review of the meaning of our experience of time and of the relationships between objective and subjective time. (shrink)

In a number of recent papers I have been developing the theory of "nomic probability," which is supposed to be the kind of probability involved in statistical laws of nature. One of the main principles of this theory is an acceptance rule explicitly designed to handle the lottery paradox. This paper shows that the rule can also handle the paradox of the preface. The solution proceeds in part by pointing out a surprising connection between the paradox of (...) the preface and the gambler's fallacy. (shrink)

In this essay I present a new version of the Paradox of the Knower and show that this new paradox vitiates a certain argument against epistemic closure. I then prove a theorem that relates the new paradox to epistemological scepticism. I conclude by assessing the use of the Knower in arguments against syntactical treatments of knowledge.

The self-limiting revolutions of 1989 in Central Europe offer an alternative paradigm of revolutionary change that is reminiscent more of the American struggle for independence in 1776 than the Jacobin tendencies that grew out of the French Revolution of 1789. In order to understand the contradictory impulses of the revolutions of 1989—the desire for a radical renewal and the concern for preservation—this article takes as its point of departure the political thought of Hannah Arendt and Edmund Burke.

In a number of recent papers I have been developing the theory of “nomic probability,“ which is supposed to be the kind of probability involved in statistical laws of nature. One of the main principles of this theory is an acceptance rule explicitly designed to handle the lottery paradox. This paper shows that the rule can also handle the paradox of the preface. The solution proceeds in part by pointing out a surprising connection between the paradox of (...) the preface and the gambler's fallacy. (shrink)

This essay corrects an error in the presentation of the Paradox of the Knowledge-Plus Knower, which is the variant of Kaplan and Montague’s Knower Paradox presented in C. Cross 2001: ‘The Paradox of the Knower without Epistemic Closure,’ MIND, 110, pp. 319–33. The correction adds a universally quantified transitivity principle for derivability as an additional assumption leading to paradox. This correction does not affect the status of the Knowledge-Plus paradox as a rebuttal to an argument (...) against epistemic closure, since the quantified transitivity principle is true in the standard model of arithmetic and therefore innocuous. (shrink)

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

The main aim of this article is to reconstruct and comment on Bernard Suits’ argument concerning the paradoxicality of the perfectly played game and explain how the argument might contribute to the game vs. performance distinction. The argument was mentioned by Suits in ‘Tricky Triad: Games, Play and Sport’ in the course of argumentation for the distinction between games and performances but it has not been presented in any of Suits’ works published during his lifetime. However, Suits’ fonds deposited in (...) the Special Collections and Archive of the University of Waterloo contains two texts that were nevertheless meant for publication: ‘A Perfectly Played Game’ (recently published as Appendix III to Suits’ Return of the Grasshopper) and unpublished ‘The Search for a Perfectly Fair Game’. The latter is a modified version of the former; there is an overlapping core in both texts, but there are also some essential differences between them. To provide a formula capable of embracing Suits’ ideas from both texts and remove the tension between the ideas of a perfectly played and perfectly fair game, I introduce the concept of a perfect game. (shrink)

Whereas the paradox of the liar has to do with the sentence "This sentence is false," the paradox of the non-communicator has to do with the sentence "This sentence is meaningless." It is argued that the paradox can be used to prove, among other things, that Russell's Theory of Types is false. The argument is defended against various objections.

Some authors have speculated about the fact that if the law were connected to morality, then it would not be relevant, because morality would be enough to regulate social life. A study of this objection to the connection thesis will be outlined in this paper. In other words, the possible answers to the question about the practical difference that law gives to morality will be analyzed. The work of the Argentine philosopher Carlos Nino will be taken as the starting point (...) for this task. (shrink)

After preliminarily pointing to the undeniable differences between Jonas’ philosophical biology and Schelling’s philosophy of nature, I contend that, besides their divergencies, the two philosophers agree on several important points. I then show to what extent, based on these elements of convergence, their two approaches could even be taken as complementary. In the core of my paper I lay emphasis on what I believe to be the main ground for the complementarity of the two philosophical inquiries, that is to say, (...) their common radicalization and superseding of Kant’s principle of self-organization. In this respect – all differences considered – they both can be said to delineate a philosophy of the organic that can fruitfully contribute, even better than Kant’s input, to the currently widely discussed topic of biological autonomy. (shrink)

Once upon a time, during a large and international conference of the world's leading philosophers, an angel miraculously appeared and said, "I come to you as a messenger from God. You will be permitted to ask any one question you want - but only one! - and I will answer that question truthfully. What would you like to ask?" The philosophers were understandably excited, and immediately began a discussion of what would be the best question to ask. But it quickly (...) became obvious that they needed more time to discuss the matter, so they asked the angel if he could get back to them. The angel was obliging, and said that he would return at the same time the next day. "But be prepared then," he warned them, "for you will only get this one chance." All of the philosophers gathered at the convention worked at a frenzied pace for the next twenty-four hours, proposing and weighing the merits of various questions. Other philosophers from around the world became involved as well, faxing and emailing their suggestions. Some were in favor of asking the kind of practical question that lots of people might like to know the answer to, such as this one: Q1 Is it better to check your oil when the car is hot or when it is cold? But others said they should not squander this rare opportunity, which gave them a chance to learn something about a truly important and intrinsically interesting topic, and after some discussion it was generally agreed that this was right. (shrink)

Although the topic of basic act is controversial, theorists of agency normally agree that complex performances are based on comparatively simple ones. To the extent that we can attribute powers to agents over various tasks, it is also plausible to suppose that our powers over complex tasks are based on powers over the simple. Chisholm once formulated this idea in terms of the principle of the diffusiveness of power. In the present paper, however, we shall argue that the principle which (...) articulates this intuitive idea is incompatible with the assumption that we can sometimes do otherwise. (shrink)

This paper is concerned with the paradox of decrease. Its aim is to defend the answer to this puzzle that was propounded by its originator, namely, the Stoic philosopher Chrysippus. The main trouble with this answer to the paradox is that it has the seemingly problematic implication that a material thing could perish due merely to extrinsic change. It follows that in order to defend Chrysippus’ answer to the paradox, one has to explain how it could be (...) that Theon is destroyed by the amputation without changing intrinsically. In this paper, I shall answer this challenge by appealing to the broadly Aristotelian idea that at least some of the proper parts of a material substance are ontologically dependent on that substance. I will also appeal to this idea in order to offer a new solution to the structurally similar paradox of increase. In this way, we will end up with a unified solution to two structurally similar paradoxes. (shrink)

It is widely accepted that there is what has been called a non-hypocrisy norm on the appropriateness of moral blame; roughly, one has standing to blame only if one is not guilty of the very offence one seeks to criticize. Our acceptance of this norm is embodied in the common retort to criticism, “Who are you to blame me?”. But there is a paradox lurking behind this commonplace norm. If it is always inappropriate for x to blame y for (...) a wrong that x has committed, then all cases in which x blames x (i.e. cases of self-blame) are rendered inappropriate. But it seems to be ethical common-sense that we are often, sadly, in position (indeed, excellent, privileged position) to blame ourselves for our own moral failings. And thus we have a paradox: a conflict between the inappropriateness of hypocritical blame, and the appropriateness of self-blame. We consider several ways of resolving the paradox, and contend none is as defensible as a position that simply accepts it: we should never blame ourselves. In defending this startling position, we defend a crucial distinction between self-blame and guilt. (shrink)

Philosophical debates over statistical evidence have long been framed and dominated by L. Jonathan Cohen's Paradox of the Gatecrasher and a related hypothetical example commonly called Prison Yard. These examples, however, raise an issue not discussed in the large and growing literature on statistical evidence – the question of what statistical evidence is supposed to be evidence of. In actual practice, the legal system does not start with a defendant and then attempt to determine if that defendant has (...) committed some unspecified or under-specified act, as these examples appear to suppose. Rather, both criminal and civil litigation start with a sufficiently specified act and then attempt to determine if the defendant has committed it. And when we start with a more fully specified act, the statistics look very different, and these prominent examples no longer present the paradox they are claimed to support. Examining the issue of specification, however, does more than simply undercut the prominent examples in a long and extensive literature. The examination also raises normative issues challenging the legal system's traditional reluctance to base liability on the conjunction of probabilities. (shrink)