Since its discovery in 1959 the Aharonov-Bohm effect has continuously been the cause for controversial discussions of various topics in modern physics, e.g. the reality of gauge potentials, topological effects and nonlocalities. In the present paper we juxtapose the two rival interpretations of the Aharonov-Bohm effect. We show that the conception of nonlocality encountered in the Aharonov-Bohm effect is closely related to the nonseparability which is common in quantum mechanics albeit distinct from it due to its topological nature. We propose (...) a third alternative interpretation based on the loop space of holonomies which serves to solve some of the problems and we trace back the topological nonlocality and thereby the Aharonov-Bohm effect to their quantum mechanical origin. All three discussed interpretations are, of course, empirically equivalent. In fact, they present us with an instructive case study for the thesis of theory underdetermination by empirical data. (shrink)

Since its discovery in 1959 the Aharonov-Bohm effect has continuously been the cause for controversial discussions of various topics in modern physics, e.g. the reality of gauge potentials, topological effects and nonlocalities. In the present paper we juxtapose the two rival interpretations of the Aharonov-Bohm effect. We show that the conception of nonlocality encountered in the Aharonov-Bohm effect is closely related to the nonseparability which is common in quantum mechanics albeit distinct from it due to its topological nature. We propose (...) a third alternative interpretation based on the loop space of holonomies which serves to solve some of the problems and we trace back the topological nonlocality and thereby the Aharonov-Bohm effect to their quantum mechanical origin. All three discussed interpretations are, of course, empirically equivalent. In fact, they present us with an instructive case study for the thesis of theory underdetermination by empirical data. (shrink)

Four empirically equivalent versions of general relativity, namely standard GR, Lorentz-invariant gravitational theory,and the gravitational gauge theories of the Lorentz and translation groups, are investigated in the form of a case study for theory underdetermination. The various ontological indeterminacies (both underdetermination and inscrutability of reference) inherent in gravitational theories are analyzed in a detailed comparative study. The concept of practical underdetermination is proposed, followed by a discussion of its adequacy to describe scientific progress.

Salient landmarks enhance route learning. We hypothesised that semantically salient nostalgic landmarks would improve route learning compared to non-nostalgic landmarks. In two experiments, participants learned a route through a computer-generated maze using directional arrows and wall-mounted pictures. On the test trial, the arrows were removed, and participants completed the maze using only the pictures. In the nostalgia condition, pictures were of popular music artists and TV characters from 5 to 10 years ago. In the control condition, they were recent pictures (...) of these same artists and characters. In Experiment 1, in the test trial, participants in the nostalgia condition completed the maze faster than controls. Experiment 2 conceptually replicated these findings and extended them by exploring boundary conditions. Participants had to learn two mazes sequentially. In Maze 1, we placed nostalgic/control landmarks only at non-decision points (whereas we placed them at decision points in Experiment 1). In Maze 2, we placed nostalgic/control landmarks at decision points during acquisition but removed them in the test trial (whereas they were present in the test trial in Experiment 1). In both mazes, participants in the nostalgia (compared to control) condition completed the test trial faster. (shrink)

Eine den Gemeingeist fördernde Moral- und Werteerziehung stellt eine wesentliche Bestandsvoraussetzung freiheitlicher Gesellschaften dar. Und wo, wenn nicht in der Schule als einziger staatlich verantworteter Sozialisations- und Bildungsinstanz, sollen sich ethisch reflektiertes demokratisches Bewusstsein, von Fairness geprägte Streitkultur und hinreichend tragfähige Toleranz reproduzieren? Vor diesem Hintergrund finden sich in Schulgesetzen, Landesverfassungen und Kernlehrplänen zahlreiche Ziele der Werteerziehung, denen die Lehrenden nachkommen (sollen). Die Auseinandersetzung mit kontroversen Themen stellt dabei einen elementaren Baustein in der Erziehung zu politischer Mündigkeit und praktischer Urteilsfähigkeit (...) dar. Während der Blick bei der Frage nach Prinzipien der Demokratieerziehung für gewöhnlich auf die politische Bildung gerichtet wird, fokussiert der vorliegende Beitrag den Philosophie- und Ethikunterricht, der – fachlich und fachdidaktisch angrenzend – in besonderer Weise geeignet ist, einen substanziellen Beitrag zur Herausbildung demokratischer Orientierung zu leisten. So etwa würdigt der sog. Dresdner Konsens von 2016 ähnlich wie der im Jahre 1976 begründete Beutelsbacher Konsens die Anlage des Unterrichtes nach dem Grundsatz der Kontroversität als besonders wirksamen Schutz gegen Indoktrination. (shrink)

Throughout the biological and biomedical sciences there is a growing need for, prescriptive ‘minimum information’ (MI) checklists specifying the key information to include when reporting experimental results are beginning to find favor with experimentalists, analysts, publishers and funders alike. Such checklists aim to ensure that methods, data, analyses and results are described to a level sufficient to support the unambiguous interpretation, sophisticated search, reanalysis and experimental corroboration and reuse of data sets, facilitating the extraction of maximum value from data sets (...) them. However, such ‘minimum information’ MI checklists are usually developed independently by groups working within representatives of particular biologically- or technologically-delineated domains. Consequently, an overview of the full range of checklists can be difficult to establish without intensive searching, and even tracking thetheir individual evolution of single checklists may be a non-trivial exercise. Checklists are also inevitably partially redundant when measured one against another, and where they overlap is far from straightforward. Furthermore, conflicts in scope and arbitrary decisions on wording and sub-structuring make integration difficult. This presents inhibit their use in combination. Overall, these issues present significant difficulties for the users of checklists, especially those in areas such as systems biology, who routinely combine information from multiple biological domains and technology platforms. To address all of the above, we present MIBBI (Minimum Information for Biological and Biomedical Investigations); a web-based communal resource for such checklists, designed to act as a ‘one-stop shop’ for those exploring the range of extant checklist projects, and to foster collaborative, integrative development and ultimately promote gradual integration of checklists. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Sport Realism: A Law-Inspired Theory of Sport by Aaron HARPERTim ElcombeHARPER, Aaron. Sport Realism: A Law-Inspired Theory of Sport. Lanham, Md.: Lexington Books, 2022. viii + 172 pp. Cloth, $95.00At a crucial moment in the 2019 World Series all six on-field umpires, in communication with Major League Baseball’s headquarters, engaged in an 8-minute discussion to determine if a baserunner should be called out for interference. The deliberation stemmed (...) from a tension between the formal rules of baseball and the game’s unwritten rules about a baserunner’s traveled path to first base. This example of a “hard case” in sport officiating sets Aaron Harper’s book Sport Realism: A Law-Inspired Theory of Sport in motion. Harper’s aim in Sport Realism is to provide a new “theory of sport” drawing primarily from American legal realism—and supplemented by philosophical pragmatism and virtue jurisprudence. Sport realism, Harper argues, serves as the best resource to understand how rules are applied in sport and how officials make in-game decisions, and it highlights the importance of participants being able to develop an expectation for how calls will be made in the future and to make difficult normative judgments.In chapter 1, Harper provides an excellent overview of the sport philosophy literature related to “theories of sport.” Using a chronological approach, he develops a clear and extensive “history” of the evolution of the field’s most influential theories and their connections to legal theory. Harper summarizes how formalism’s rigid commitment to “constitutive” rules that supposedly define a sport led to criticisms from conventionalists who alternatively generated their account of how nonwritten rules or a sporting ethos defines how a sport is played. However, the laissez-faire nature of conventionalism, as well as the inflexibility of formalism, gave rise to now-dominant interpretivist theories of sport that Harper covers in significant detail. Primarily inspired by Ronald Dworkin, philosophers developed theories that relied on the interpretation of principles that affirmed a sport’s point and purpose. Emergent formulations of interpretivism—from realist accounts to antirealist/historicist versions—all relied on the interpretation of some essential starting point (rules, principles, ethos, deep conventions) to both explain sport and provide officials with normative guidance.Harper regularly lauds interpretivism as the best theory of sport developed to date. However, in chapter 2 he highlights deficiencies with interpretivist accounts via two case studies: New York Yankees’ pitcher Michael Pineda’s “illegal” use of pine tar to improve his grip on the [End Page 147] baseball, as well as Tiger Woods taking a favorable drop after hitting his golf ball into a water hazard. From these two cases, Harper concludes that all variations of interpretivism (from realist to antirealist accounts) fall short in the purpose of developing a theory of sport: to both explain sport (Pineda case) and give a wide swath of formal and informal decision-makers tools to make difficult ethical judgments (Woods case).Harper turns to American legal realism in chapter 3 to develop a superior theory of sport. Crucial to Harper’s sport realism account is Oliver Wendell Holmes’s resistance to understanding law as a set of rules or principles, and instead as an ongoing process of “policymaking” best characterized by the role of the appellate courts. “Understanding the law” from a Holmes perspective, Harper writes, “entails successful prediction of how courts will act in deciding cases... which actions will, in fact, prompt sanction by a court.” This alternative view of the law led to the rise of American legal realism—and subsequently serves as the source of Harper’s sport realism account sketched out in the latter half of chapter 3. According to sport realism, sport ought to be explained by how “it is actually played in order to provide a more accurate account of sport as an activity.” This “best explanation of sport” therefore “provides normative guidance” for sporting challenges.Continuing his development of sport realism, Harper sets out in chapter 4 to define cheating as “an instance of rule-breaking [that] warrants a restorative sanction given by sport officials, and we would expect such sanction to be given if the action... (shrink)

Die Autorinnen und Autoren präsentieren in diesem Buch Argumente, die die Unmöglichkeit des Reduktionismus aus philosophischer, naturwissenschaftlicher bzw. mathematisch-logischer Perspektive zu begründen suchen. Der Reduktionismus behauptet, dass Eigenschaften auch von komplexen Systemen vollständig auf ihre Bestandteile zurückgeführt werden können. Diese Position ist einflussreich, aber umstritten. Im Jahr 2019 hat der Kurt Gödel Freundeskreis einen Essaywettbewerb veranstaltet, um schlagende Argumente gegen den Reduktionismus zu finden. Unter den internationalen Teilnehmern waren neben weltweit führenden Forschern auch Wissenschaftler, die noch am Beginn ihrer Kariere (...) stehen. Dieser Band versammelt die Beiträge der Preisträger und weitere ausgewählte Aufsätze. Aus dem Inhalt: · Kausalität als antireduktionistisches Hausmittel – Martin Breul · Reduktionismus im Diskurs – Hanna Hueske · Monads, Types, and Branching Time – Kurt Gödel’s approach towards a theory of the soul – Tim Lethen · The limits of reductionism: thought, life, and reality – Jesse M. Mulder · True or Rational? A Problem for a Mind-Body Reductionist – Michał Pawłowski · Why reductionism does not work – George F. R. Ellis · Physik ohne Reduktion – Rico Gutschmidt · Is there an Axiom for everything? – Jean-Yves Béziau · Unerklärliche Wahrheiten – Marco Hausmann · Gödel, mathematischer Realismus und Antireduktionismus – Reinhard Kahle. (shrink)

This collection of essays explore the long-standing,intricate relationship between law and faith. Faith in this context is to be read in the broadest sense, as extending beyond religion to embrace the knowledge, beliefs, understandings and practices which are at work alongside the familiar and seemingly more reliable, trusted and relatively certain content and conventionally accepted methods of law and legal reasoning. The essays deal with three broad themes. The first concerns the extent to which faith should be involved in legal (...) decision making. Ought decisions to aspire simply to right reason or ought faith-based models of decision-making to be incorporated into the legal system? If the latter, how is this best done? Ought faith to operate simply as a reason itself or ought it to help to structure the method by which legal decisions are reached? The second, and perhaps most familiar theme, stemming in part from rights discourse, is the extent to which law does, and ought to, respect the rights of those whose religious beliefs conflict with the dominant social norms and practices. Liberal democratic constitutions typically provide protection for religion and religious beliefs. Are these justified, and if so how? Can such protection as exists suffice from the perspective of the faithful, or does law's otherwise pervasive agnosticism make this impossible or illusory? Thirdly, questions of identity and difference arise. Assuming that most societies remain a mix of many faiths (religious and secular) and no faith, how should law and legal theory understand the varying and, it must be said, conflicting claims for recognition. Should we encourage conformity in the hope of reducing friction, or should we preserve and promote difference, seeking to understand others, whether groups or individuals, without removing that which makes them distinct? More radically and controversially, should we be more sceptical of individual and group claims to authenticity and see them rather as strategies in an ongoing power game? Faith after all, like reason and law, has never been far from politics and intrigue, especially in its institutional representation. Contributors: Zenon Bankowski, Anthony Bradney, Claire Davis, John Gardner, Adam Gearey, Tim Macklem, Maleiha Malik, Victor Tadros. (shrink)

Some have claimed that people with very different beliefs literally see the world differently. Thus Thomas Kuhn: ‘what a man sees depends both upon what he looks at and also upon what his previous visual—conceptual experience has taught him to see’ (Kuhn 1970, p. ll3). This view — call it ‘Perceptual Relativism’ — entails that a scientist and a child may look at a cathode ray tube and, in a sense, the first will see it while the second won’t. The (...) claim is not, of course, that the child’s experience is ‘empty’; but that, unlike the scientist, it does not see the tube as a cathode ray tube. One way of supporting this claim is to say that one cannot see something as an F unless one has the concept F. Since the child plainly lacks the concept of a cathode ray tube, it cannot see it as a cathode ray tube. Although Perceptual Relativism is hard to believe, this supporting suggestion is not so implausible. After all, when we see (and more generally, perceive) the world, the world is presented to us in a particular way; so how can we see it as being that way unless we have some idea or conception of the way it is presented? We need not be committed to a representative theory of perception to think that perceptions in some sense represent the world. We can express this by saying that perceptions have content. Now it is a commonplace that the contents of beliefs and the other propositional attitudes involve concepts. The belief that this thing is a cathode ray tube involves, in some sense, the concept cathode ray tube. So the line of thought behind Perceptual Relativism may be expressed thus: seeing an F as an F is a state with content. (shrink)

Some machine learning models, in particular deep neural networks, are not very well understood; nevertheless, they are frequently used in science. Does this lack of understanding pose a problem for using DNNs to understand empirical phenomena? Emily Sullivan has recently argued that understanding with DNNs is not limited by our lack of understanding of DNNs themselves. In the present paper, we will argue, contra Sullivan, that our current lack of understanding of DNNs does limit our ability to understand with DNNs. (...) Sullivan’s claim hinges on which notion of understanding is at play. If we employ a weak notion of understanding, then her claim is tenable, but rather weak. If, however, we employ a strong notion of understanding, particularly explanatory understanding, then her claim is not tenable. (shrink)

This paper argues that a notion of statistical explanation, based on Salmon’s statistical relevance model, can help us better understand deep neural networks. It is proved that homogeneous partitions, the core notion of Salmon’s model, are equivalent to minimal sufficient statistics, an important notion from statistical inference. This establishes a link to deep neural networks via the so-called Information Bottleneck method, an information-theoretic framework, according to which deep neural networks implicitly solve an optimization problem that generalizes minimal sufficient statistics. The (...) resulting notion of statistical explanation is general, mathematical, and subcausal. (shrink)

This paper reviews the hole argument as an argument against spacetime substantivalism. After a careful presentation of the argument itself, I critically review possible responses.

In recent years there has been an increase in the number of calls for moral education to receive greater public attention. In our pluralist society, however, it is difficult to find agreement on what exactly moral education requires. Philosophical Discussion in Moral Education develops a detailed philosophical defence of the claim that teachers should engage students in ethical discussions to promote moral competence and strengthen moral character. Paying particular attention to the teacher's role, this book highlights the justification for, and (...) methods of, creating a classroom community of ethical inquiry. (shrink)

In “Models and Reality” (1980), Putnam sketched a version of his internal realism as it might arise in the philosophy of mathematics. Here, I will develop that sketch. By combining Putnam’s model-theoretic arguments with Dummett’s reflections on Gödelian incompleteness, we arrive at (what I call) the Skolem-Gödel Antinomy. In brief: our mathematical concepts are perfectly precise; however, these perfectly precise mathematical concepts are manifested and acquired via a formal theory, which is understood in terms of a computable system of proof, (...) and hence is incomplete. Whilst this might initially seem strange, I show how internal categoricity results for arithmetic and set theory allow us to face up to this Antinomy. This also allows us to understand why “Models are not lost noumenal waifs looking for someone to name them,” but “constructions within our theory itself,” with “names from birth.”. (shrink)

Tim Button explores the relationship between words and world; between semantics and scepticism. -/- A certain kind of philosopher – the external realist – worries that appearances might be radically deceptive. For example, she allows that we might all be brains in vats, stimulated by an infernal machine. But anyone who entertains the possibility of radical deception must also entertain a further worry: that all of our thoughts are totally contentless. That worry is just incoherent. -/- We cannot, then, be (...) external realists, who worry about the possibility of radical deception. Equally, however, we cannot be internal realists, who reject all possibility of deception. We must position ourselves somewhere between internal realism and external realism, but we cannot hope to say exactly where. We must be realists, for what that is worth, and realists within limits. -/- In establishing these claims, The Limits of Realism critically explores and develops several themes from Hilary Putnam’s work: the model-theoretic arguments; the connection between truth and justification; the brain-in-vat argument; semantic externalism; and conceptual relativity. The book establishes the continued significance of these topics for all philosophers interested in mind, logic, language, or the possibility of metaphysics. (shrink)

What is morality? How many moral values are there? And what are they? According to the theory of morality-as-cooperation, morality is a collection of biological and cultural solutions to the problems of cooperation recurrent in human social life. This theory predicts that there will be as many different types of morality as there are different types of cooperation. Previous research, drawing on evolutionary game theory, has identified at least seven different types of cooperation, and used them to explain seven different (...) types of morality: family values, group loyalty, reciprocity, heroism, deference, fairness and property rights. Here we explore the conjecture that these simple moral ‘elements’ combine to form a much larger number of more complex moral ‘molecules’, and that as such morality is a combinatorial system. For each combination of two elements, we hypothesise a candidate moral molecule, and successfully locate an example of it in the professional and popular literature. These molecules include: fraternity, blood revenge, family pride, filial piety, gavelkind, primogeniture, friendship, patriotism, tribute, diplomacy, common ownership, honour, confession, turn taking, restitution, modesty, mercy, munificence, arbitration, mendicancy, and queuing. These findings indicate that morality – like many other physical, biological, psychological and cultural systems – is indeed a combinatorial system. Thus morality-as-cooperation provides a principled and powerful theory, that explains why there are many moral values, and successfully predicts what they will be; and it generates a systematic framework that has the potential to explain all moral ideas, possible and actual. Pursuing the many implications of this theory will help to place the study of morality on a more secure scientific footing. (shrink)

Essential Philosophy of Psychiatry is a concise introduction to the growing field of philosophy of psychiatry. Divided into three main aspects of psychiatric clinical judgement, values, meanings and facts, it examines the key debates about mental health care, and the philosophical ideas and tools needed to assess those debates, in six chapters. In addition to outlining the state of play, Essential Philosophy of Psychiatry presents a coherent and unified approach across the different debates, characterized by a rejection of reductionism and (...) an emphasis on the ineliminability of uncodified skilled judgement. The first part, Values, outlines the debate about whether diagnosis of mental illness is essentially value-laden and argues that the prospects for reducing illness or disease to plainly factual matters are poor. It also explains the important role of skilled contextual judgement, rather than a principles-based deduction, in ethical judgement. The second part, Meanings, examines the central role of understanding and a shared first person perspective, both against attempts to reduce meaning to basic information-processing mechanisms and to explain away the difficulties of understanding psychopathology in recent models of delusion. The third part, Facts, shows the importance of uncodified clinical judgements, both in assessing the validity of psychiatric taxonomy and in the application of Evidence Based Medicine. Despite advances in the codifaction of practice and operationalism of diagnosis, an element of judgement remains in the assessment both of what, at one level, is good evidence for diagnosis and treatment and what, at a higher level, is good evidence for the validity of classification overall. (shrink)

Tim Bayne draws on philosophy, psychology, and neuroscience in defence of the claim that consciousness is unified. He develops an account of what it means to say that consciousness is unified, and then applies this account to a variety of cases - drawn from both normal and pathological forms of experience - in which the unity of consciousness is said to break down. He goes on to explore the implications of the unity of consciousness for theories of consciousness, for the (...) sense of embodiment, and for accounts of the self. The Unity of Consciousness draws on a wide range of findings within philosophy and the sciences of the mind to construct an account of the unity of consciousness that is both conceptually sophisticated and scientifically informed. (shrink)

I advocate scepticism about epistemic blame; the view that we have good reason to think there is no distinctively epistemic form of blame. Epistemologists often find it useful to draw a distinction between blameless and blameworthy norm violation. In recent years, this has led several writers to develop theories of ‘epistemic blame.’ I present two challenges against the very idea of epistemic blame. First, everything that is supposedly done by epistemic blame is done by epistemic evaluation, at least according to (...) a prominent view about the social role of epistemic evaluation. Parsimony considerations count against introducing an idle mechanism that does the same work as an existing one. Second, no current theory of epistemic blame includes a plausible account of the force of epistemic blame or the practices that could express it. I conclude that we should give up the notion of epistemic blame. (shrink)

One of the central problems in the study of consciousness concerns the ascription of consciousness. We want to know whether certain kinds of creatures—such as non-human animals, artificially created organisms, and even members of our own species who have suffered severe brain-damage—are conscious, and we want to know what kinds of conscious states these creatures might be in if indeed they are conscious. The identification of accurate markers of consciousness is essential if the science of consciousness is to have any (...) chance of success. (shrink)

Universals are putative objects like wisdom, morality, redness, etc. Although we believe in properties (which, we argue, are not a kind of object), we do not believe in universals. However, a number of ordinary, natural language constructions seem to commit us to their existence. In this paper, we provide a fictionalist theory of universals, which allows us to speak as if universals existed, whilst denying that any really do.

We outline a framework for analyzing episodes from the history of science in which the application of mathematics plays a constitutive role in the conceptual development of empirical sciences. Our starting point is the inferential conception of the application of mathematics, recently advanced by Bueno and Colyvan. We identify and discuss some systematic problems of this approach. We propose refinements of the inferential conception based on theoretical considerations and on the basis of a historical case study. We demonstrate the usefulness (...) of the refined, dynamical inferential conception using the well-researched example of the genesis of general relativity. Specifically, we look at the collaboration of the physicist Einstein and the mathematician Grossmann in the years 1912--1913, which resulted in the jointly published ``Outline of a Generalized Theory of Relativity and a Theory of Gravitation,'' a precursor theory of the final theory of general relativity. In this episode, an independently developed mathematical theory, the theory of differential invariants and the absolute differential calculus, was applied in the process of physical theorizing aiming at finding a relativistic theory of gravitation. We argue that the dynamical inferential conception not only provides a natural framework to describe and analyze this episode, but it also generates new questions and insights. We comment on the mathematical tradition on which Grossmann drew, and on his own contributions to mathematical theorizing. We argue that the dynamical inferential conception allows us to identify both the role of heuristics and of mathematical resources as well as the systematic role of problems and mistakes in the reconstruction of episodes of conceptual innovation and theory change. (shrink)

Does thought have distinctive experiential features? Is there, in addition to sensory phenomenology, a kind of cognitive phenomenology--phenomenology of a cognitive or conceptual character? Leading philosophers of mind debate whether conscious thought has cognitive phenomenology and whether it is part of conscious perception and conscious emotion.

Against transmission -- For attention -- Education in the minor key -- Anthropology, art and the university.

No-futurists ('growing block theorists') hold that that the past and the present are real, but that the future is not. The present moment is therefore privileged: it is the last moment of time. Craig Bourne (2002) and David Braddon-Mitchell (2004) have argued that this position is unmotivated, since the privilege of presentness comes apart from the indexicality of 'this moment'. I respond that no-futurists should treat 'x is real-as-of y' as a nonsymmetric relation. Then different moments are real-as-of different times. (...) This reunites privilege with indexicality, but entails that no-futurists must believe in ineliminably tensed facts. (shrink)

The phenomenal character of perceptual experience involves the representation of colour, shape and motion. Does it also involve the representation of high-level categories? Is the recognition of a tomato as a tomato contained within perceptual phenomenality? Proponents of a conservative view of the reach of phenomenal content say ’No’, whereas those who take a liberal view of perceptual phenomenality say ’Yes’. I clarify the debate between conservatives and liberals, and argue in favour of the liberal view that high-level content can (...) directly inform the phenomenal character of perception. (shrink)

This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.

Keränen (2001) raises an argument against realistic (ante rem) structuralism: where a mathematical structure has a non-trivial automorphism, distinct indiscernible positions within the structure cannot be shown to be non-identical using only the properties and relations of that structure. Ladyman (2005) responds by allowing our identity criterion to include 'irreflexive two-place relations'. I note that this does not solve the problem for structures with indistinguishable positions, i.e. positions that have all the same properties as each other and exactly the same (...) relations to all objects (including themselves). I conclude that realistic structuralists must compromise and treat some structures eliminativistically. (shrink)

In 1997, a Scottish surgeon by the name of Robert Smith was approached by a man with an unusual request: he wanted his apparently healthy lower left leg amputated. Although details about the case are sketchy, the would-be amputee appears to have desired the amputation on the grounds that his left foot wasn’t part of him – it felt alien. After consultation with psychiatrists, Smith performed the amputation. Two and a half years later, the patient reported that his life had (...) been transformed for the better by the operation [1]. A second patient was also reported as having been satisfied with his amputation [2]. (shrink)

Brentano’s account of what he called intentionale Inexistenz — what we now call intentionality — is without question one of the most important parts of his philosophy, and one of the most influential ideas in late 19th-century philosophy. Here I will explain how this idea figures in Brentano’s central text, Psychology from an Empirical Standpoint (Brentano 1995a). I will then briefly explain how Brentano’s ideas about intentionality evolved after the first publication of this work in 1874, and how they were (...) then misinterpreted by some influential analytic philosophers. (shrink)

The present paper provides an analysis of Euler’s solutions to the Königsberg bridges problem. Euler proposes three different solutions to the problem, addressing their strengths and weaknesses along the way. I put the analysis of Euler’s paper to work in the philosophical discussion on mathematical explanations. I propose that the key ingredient to a good explanation is the degree to which it provides relevant information. Providing relevant information is based on knowledge of the structure in question, graphs in the present (...) case. I also propose computational complexity and logical strength as measures of relevant information. (shrink)

Michael Weisberg and Kenneth Reisman argue that the Volterra Principle can be derived from multiple predator-prey models and that, therefore, the Volterra Principle is a prime example for robustness analysis. In the current article, I give new results regarding the Volterra Principle, extending Weisberg’s and Reisman’s work, and I discuss the consequences of these results for robustness analysis. I argue that we do not end up with multiple, independent models but rather with one general model. I identify the kind of (...) situation in which this generalization approach may occur, and I analyze the generalized Volterra Principle from an explanatory perspective. (shrink)

In this ingenious and powerfully argued book Tim Maudlin sets out a novel account of logic and semantics which allows him to deal with certain notorious paradoxes which have bedevilled philosophical theories of truth. All philosophers interested in logic and language will find this a stimulating read.

It is usual to distinguish between two kinds of doxastic attitude: standing or dispositional states, which govern our actions and persist throughout changes in consciousness; and conscious episodes of acknowledging the truth of a proposition. What is the relationship between these two kinds of attitude? Normally, the conscious episodes are in harmony with the underlying dispositions, but sometimes they come apart and we act in a way that is contrary to our explicit conscious judgements. Philosophers have often tried to explain (...) these situations in largely doxastic terms, by identifying one or other of the attitudes as our ‘real’ beliefs. This chapter argues that this is not generally realistic and we should appeal to a wider range of psychological attitudes. Such an account would be best supported by a picture of the unconscious mind which does not sharply separate the doxastic from the conative and the affective. (shrink)

The paper presents, and discusses, four candidate explanations of the structure, and construction, of the bees’ honeycomb. So far, philosophers have used one of these four explanations, based on the mathematical Honeycomb Conjecture, while the other three candidate explanations have been ignored. I use the four cases to resolve a dispute between Pincock and Baker about the Honeycomb Conjecture explanation. Finally, I find that the two explanations focusing on the construction mechanism are more promising than those focusing exclusively on the (...) resulting, optimal structure. The main reason for this is that optimal structures do not uniquely determine the relevant optimization leading to the optimal structure. (shrink)

Philosophy and model theory frequently meet one another. Philosophy and Model Theory aims to understand their interactions -/- Model theory is used in every ‘theoretical’ branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging appeals to model theory have created a highly fragmented literature. On the one hand, many philosophically significant mathematical results are found only in mathematics textbooks: these are aimed squarely at mathematicians; (...) they typically presuppose that the reader has a significant background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are then scattered across disconnected pockets of papers, separated by decades or more. -/- The first aim of Philosophy and Model Theory, then, is to consider the philosophical uses of model theory. On a technical level, we try to show how philosophically significant results connect to one another, and also to state the best version of a result for philosophical purposes. On a philosophical level, we show how similar dialectical situations arise repeatedly, across fragmented debates in varied philosophical areas. -/- The second aim of Philosophy and Model Theory, though, is to consider the philosophy of model theory. Model theory itself is rarely taken as the subject matter of philosophising (contrast this, say, with the philosophy of biology, or the philosophy of set theory). But model theory is a beautiful part of pure mathematics, and worthy of philosophical study in its own right. (shrink)

Introduction: The role of animals in philosophies of man -- Part I: What's wrong with animal rights? -- The right to remain silent -- Part II: Animal pedagogy -- You are what you eat : Rousseau's cat -- Say the human responded : Herder's sheep -- Part III: Difference worthy of its name -- Hair of the dog : Derrida's and Rousseau's good taste -- Sexual difference, animal difference : Derrida's sexy silkworm -- Part IV: It's our fault -- The (...) beaver's struggle with species-being : De Beauvoir and the praying mantis -- Answering the call of nature : Lacan walking the dog -- Part V: Estranged kinship -- The abyss between humans and animals : Heidegger puts the bee in being -- Strange kinship : Merleau-Ponty's sensuous stickleback -- Stopping the anthropological machine : Agamben's tick-tocking tick -- Psychoanalysis and the science of kinship -- Psychoanalysis as animal by-product : Freud's zoophilia -- Animal abjects, maternal abjects : Kristeva's strays -- Conclusion: Sustainable ethics. (shrink)

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)

English has plural terms as well as singular terms. But our standard formal languages, e.g., the predicate calculus, feature only singular terms. How can the plural idiom be formalized?‘Changing the subject’ is by far the most common plurals strategy among both philosophers and linguists: a plural term is replaced by a singular term standing for some complex object that ‘contains’ the individuals to which the plural term alludes. For example, one might simply replace ‘A, B imply C’ with ‘{A, B} (...) implies [singular] C’. We uncover a surprising variety of ways to change the subject, of ever‐increasing complexity and ingenuity. Our question is whether any can made to work. (shrink)