We make some remarks on the mathematics and metaphysics of the hole argument, in response to a recent article in this journal by Weatherall ([2018]). Broadly speaking, we defend the mainstream philosophical literature from the claim that correct usage of the mathematics of general relativity `blocks' the argument.

Explainable artificial intelligence (XAI) seeks to produce explanations for those machine learning methods which are deemed opaque. However, there is considerable disagreement about what this means and how to achieve it. Authors disagree on what should be explained (topic), to whom something should be explained (stakeholder), how something should be explained (instrument), and why something should be explained (goal). In this paper, I employ insights from means-end epistemology to structure the field. According to means-end epistemology, different means ought to be (...) rationally adopted to achieve different epistemic ends. Applied to XAI, different topics, stakeholders, and goals thus require different instruments. I call this the means-end account of XAI. The means-end account has a descriptive and a normative component: on the one hand, I show how the specific means-end relations give rise to a taxonomy of existing contributions to the field of XAI; on the other hand, I argue that the suitability of XAI methods can be assessed by analyzing whether they are prescribed by a given topic, stakeholder, and goal. (shrink)

This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann's classic treatise with this title. Fundamental non-classical features of quantum mechanics-indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality-are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and (...) operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory. (shrink)

Natural and supernatural explanations are used to interpret the same events in a number of predictable and universal ways. Yet little is known about how variation in diverse cultural ecologies influences how people integrate natural and supernatural explanations. Here, we examine explanatory coexistence in three existentially arousing domains of human thought: illness, death, and human origins using qualitative data from interviews conducted in Tanna, Vanuatu. Vanuatu, a Melanesian archipelago, provides a cultural context ideal for examining variation in explanatory coexistence due (...) to the lack of industrialization and the relatively recent introduction of Christianity and Western education. We argue for the integration of interdisciplinary methodologies from cognitive science and anthropology to inform research on explanatory coexistence. (shrink)

We present a plural logic that is as expressively strong as it can be without sacrificing axiomatisability, axiomatise it, and use it to chart the expressive limits set by axiomatisability. To the standard apparatus of quantification using singular variables our object-language adds plural variables, a predicate expressing inclusion (is/are/is one of/are among), and a plural definite description operator. Axiomatisability demands that plural variables only occur free, but they have a surprisingly important role. Plural description is not eliminable in favour of (...) quantification; on the contrary, quantification is definable in terms of it. Predicates and functors (function signs) can take plural as well as singular terms as arguments, and both many-valued and single-valued functions are expressible. The system accommodates collective as well as distributive predicates, and the condition for a predicate to be distributive is definable within it; similarly for functors. An essential part of the project is to demonstrate the soundness and completeness of the calculus with respect to a semantics that does without set-theoretic domains and in which the use of settheoretic extensions of predicates and functors is replaced by the sui generis relations and functions for which the extensions were at best artificial surrogates. Our metalanguage is designed to solve the difficulties involved in talking plurally about individuals and about the semantic values of plural items. (shrink)

Algorithms are used across a wide range of societal sectors such as banking, administration, and healthcare to make predictions that impact on our lives. While the predictions can be incredibly accurate about our present and future behavior, there is an important question about how these algorithms in fact represent human identity. In this paper, we explore this question and argue that machine learning algorithms represent human identity in terms of what we shall call the statistical individual. This statisticalized representation of (...) individuals, we shall argue, differs significantly from our ordinary conception of human identity, which is tightly intertwined with considerations about biological, psychological, and narrative continuity—as witnessed by our most well-established philosophical views on personal identity. Indeed, algorithmic representations of individuals give no special attention to biological, psychological, and narrative continuity and instead rely on predictive properties that significantly exceed and diverge from those that we would ordinarily take to be relevant for questions about how we are. (shrink)

Marcus Giaquinto claims that finite cardinal numbers are sensible properties, and that the smallest ones are known by acquaintance. In this paper I compare Giaquinto’s epistemology to the Russellian one with which it invites comparison, before showing how it is subject to a version of Jody Azzouni’s “epistemic role” objection. Then I argue that the source of this problem is Giaquinto’s misconception that numbers, like quantities, are sensible properties. Finally, I offer a sketch of a theory of how we grasp (...) finite cardinals on the assumption that they are not sensible, and show why this is not subject to the epistemic role objection. (shrink)

The idea that religions should be pluralist is often supported by commentators. It opposes the more rigid suggestion that a particular religion is the only valid route to the truth and salvation. A problem with the latter idea of course is that it makes dialogue meaningless, since the only point to talking to those in other faiths would be to try to convince them of the truth of your own religion. It is not difficult to find indications in many religions (...) that a variety of views on basic issues are acceptable and indeed should be welcomed as progressive. It is argued here, though, that such an approach really does not do justice to the Qur’an. Like many religions, Islam requires obedience to divine authority and is often critical of alternative ways of thinking and behaving. We may regret that this is the case, but religions are often illiberal institutions and should be accurately described as such. (shrink)

The author devotes a good number of pages to clarifying the relations between PHN, experimental psychology, and metaphysics. It is this thesis, a problem of the order of knowledge, that we wish to question. We shall first present some of the difficulties that give rise to the problem. Second, we shall indicate the kind of knowledge which PHN is. Third, we shall attempt to demonstrate that in the body of his work the kind of knowledge represented is that of the (...) "metaphysics of man" and not the "philosophy of human nature." Finally, we shall point out the importance, and non-verbal character, of a correct answer to the problem. (shrink)

Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum state; for the (...) inaccuracies of any joint measurement of these quantities; and for the inaccuracy of a measurement of one of the quantities and the ensuing disturbance in the distribution of the other quantity. Whilst conceptually distinct, these three kinds of uncertainty relations are shown to be closely related formally. Finally, we survey models and experimental implementations of joint measurements of position and momentum and comment briefly on the status of experimental tests of the uncertainty principle. (shrink)

Abstract: Laudan (1984) distinguishes between two senses of success for scientific theories: (i) that a particular theory is successful, and (ii) that the methods for picking out approximately true theories are successful. These two senses of success are reflected in two different ways that the no miracles argument for scientific realism (NMA) may be set out. First, I set out a (traditional) version of NMA that considers the success of particular theories. I then consider a more recent formulation of NMA (...) (Psillos, 1999). This version of NMA is aimed at making us believe that our methods for picking out approximately true theories are reliable. I shall argue that the success of the latter argument is dependent on the success of the first. Therefore, even though Psillos presents a new formulation of NMA, the evidential support for it is no stronger than the evidential support for the original version. (shrink)

The possibilities of a realistic interpretation of quantum mechanics are investigated by means of a statistical analysis of experiments performed on the simplest type of quantum systems carrying spin or helicity. To this end, fundamental experiments, some new, for measuring polarization are reviewed and (re)analyzed. Theunsharp reality of spin is essential in the interpretation of some of these experiments and represents a natural motivation for recent generalizations of quantum mechanics to a theory incorporating effect-valued measures as unsharp observables and generalized (...) systems of imprimitivity. (shrink)

A provocative and wide-ranging analysis of the cultural mood of anxiety and pessimism in the early 21st century.

Are there moral constraints on the pursuit of the good? Our intuitions suggest that we may not use another person as a means to achieve a good outcome, even if that good outcome reduces the amount of using-as-a-means that occurs overall. These intuitions are assumed to be incompatible with consequentialism and to show the need for a deontological constraint on using others as a means. This assumption is a mistake. In this paper, I show that consequentialists can justify the same (...) case-based intuitions that are thought to support a moral constraint on using others as a means. (shrink)

Este trabalho é parte de um relatório de investigação que tem oito projetos de pesquisa integrados em rede, atrelados à pesquisa matricial do Grupo LEPEL/FACED/UFBA, que se articula ao grupo PAIDÉIA/FAE/UNICAMP, que coordena uma pesquisa cujas bases têm vinculação e é intitulada: Produção do conhecimento em Educação Física: Impacto do sistema de pós-graduação das regiões sul e sudeste do Brasil na formação e produção de mestres e doutores que atuam nas instituições de ensino superior da região nordeste – EPISTEFNORDESTE. A (...) investigação promove análise epistemológica e visa formação de pesquisadores com pensamento teórico-metodológico planejado com base no materialismo histórico dialético. (shrink)

Der Aufsatz kritisiert den unrealistischen Politikbegriff vieler der aktuell boomenden Theorien politischer Imagination. Mit dem Ziel der Entwicklung einer realistischen politischen Theorie der Imagination wird der Begriff der politischen Einbildungskraft mit dem der Entscheidung konterkariert und das Werk von Cornelius Castoriadis mit dem von Ernesto Laclau kontrastiert. Anhand einer Diskussion der Subjekt- und Entscheidungstheorie Laclaus in ihrem Verhältnis zur Imagination erweist sich, dass Dezisions- und Imaginationstheorien im Rahmen eines realistischen Ansatzes aufeinander verwiesen bleiben müssen, denn ihre jeweiligen Defizite, die sich (...) postfundamentalistisch auf die ontologische Defizienz der Gründe zurückführen lassen, können nur im wechselseitigen Verweis von Imagination auf Dezision und von Dezision auf Imagination bearbeitet werden. (shrink)

Saul Kripke’s analysis of the concept of the natural numbers that we are taught in school yields a novel and axiomatically economical way of representing arithmetic in standard set theory—one that helps to answer Benacerraf’s objection from extraneous content as well as Wittgenstein’s objection from unsurveyability. After describing Kripke’s proposal in some detail, we examine it in the light of work by Quine, Steiner, Parsons, Boolos and Burgess. Although the primary aim of this paper is to present and explicate Kripke’s (...) view, we conclude by discussing some of the issues that are faced by Kripke’s proposal, so that the reader can get a sense of the geography of these issues. (shrink)

Clarke and Beck's view that numbers are both second-order and sensible is based on an empirically dubious claim, which is required to show that what they call the “weak sensitivity principle” is satisfied. The explanatory benefits that they say are gained by positing a sensory relation to numbers are also gained by positing such a relation to multitudes of objects.

In this paper, I do several things. First, I present a definition of ‘corruption’ as ‘abuse of power that builds or maintains the abuser’s power’, arguing that this definition is more generally applicable than other definitions offered in the literature and that it highlights a crucial property of corruption, namely its tendency to metastasise, presenting a more and more serious danger to society. To defend the emphasis I place on this tendency, I then argue that corruption (as commonly understood) frequently (...) produces three mechanisms pushing it to reproduce: self-perpetuation by the corrupt actors to protect themselves, formation of networks between corrupt actors which ensnare new participants, and normalisation of specific kinds of abuse of power in the corrupt actors’ social environments. From here, I turn to political parties, arguing that they present fertile soil for the mechanisms just described. In their stead, I argue for sortition—a system whereby legislators are randomly selected from the population at large. I make the case that each of the three metastatic mechanisms I have described would have much more difficulty taking root in a sortitional-democratic system than in an electoral-democratic one, before concluding by responding to a major potential objection to such a proposal’s feasibility—namely, that sortitional juries would be less competent than elected legislatures—and presenting a sketch of a sortitional-democratic system setting out how it could discharge the government’s executive functions, in addition to the legislative functions already covered. The paper as a whole, in addition to its explicit arguments, may be considered to make an implicit case for non-ideal over ideal theory, in that it attempts to show the importance of that quintessentially non-ideal factor, corruption, to the nature of any political order. (shrink)

Christianity changed the world for the better through the development of education, charity organisations, art, music, law and medical care among others. However, not all changes initiated by Christianity were positive. The Christian religion was also responsible for division, death, destruction and war. Focusing on the positive changes, nearly 500 years after the reformation though, it seems as if Christianity has lost its renewing and transformative powers. It seems as if society, politics and the economy are pressurising Christianity to conform (...) to the world and not the other way round. Therefore, the research focuses on the question whether Christians can bring about positive change and transformation to the current problems in society. What can Christians do to provide a religious response to current persistent societal problems? Change agents - people who drive positive change - are capable and competent, make use of networks, are visible and contactable and are often also outsiders in the communities they serve. Examples of the work done by change agents - Christians within their local communities - through small-scale community projects are showcased here to suggest possible ways forward for dealing with persistent problems from a Christian point of view. (shrink)

This paper explores the application of ethical thinking from the perspective of someone with the dual role of social worker and PhD researcher. The focus of the research was family secrets and their influence upon child-to-parent violence and abuse (CPVA). The participants were children and their parents, who, at the time of the research, were experiencing family violence and abuse.This paper was developed from a conversation between Lee-Ann and Louise. Lee-Ann was Louise’s PhD supervisor and was therefore involved in supporting (...) Louise in gaining ethics approval, as well as holding continued reflexive conversations about the ethical questions and dilemmas that arose throughout this study.This paper has shown the importance of hearing the voices of children within research about CPVA. Children can offer a rich layer of information that is seldom heard. It also shows that there may be a different lens through which ethics can be considered during research, not only the purely objective or academic, but also from a practitioner-researcher in a social care setting position. (shrink)