First, we consider an argument due to Popper for maximal strength in choice of logic. We dispute this argument, taking a lead from some remarks by Susan Haack; but we defend a set of contrary considerations for minimal strength in logic. Finally, we consider the objection that Popper presupposes the distinctness of logic from science. We conclude from this that all claims to logical truth may be in equal epistemological trouble.

Conceptual engineering and conceptual ethics are branches of philosophy concerned with questions about how to assess and ameliorate our representational devices (such as concepts and words). It's a part of philosophy concerned with questions about which concepts we should use (and why), how concepts can be improved, when concepts should be abandoned, and how proposals for amelioration can be implemented. Central parts of the history of philosophy have engaged with these issues, but the focus of this volume is on applications (...) to work in contemporary philosophy of language and mind, epistemology, gender and race theory, ethics, philosophy of science, and philosophical logic. This is the first volume devoted entirely to conceptual engineering and conceptual ethics. The volume explores the possibilities, benefits, problems, and applications of conceptual engineering and conceptual ethics. It consists of twenty chapters written by leading philosophers. (shrink)

Which concepts should we use to think and talk about the world, and to do all of the other things that mental and linguistic representation facilitates? This is the guiding question of the field that we call ‘conceptual ethics’. Conceptual ethics is not often discussed as its own systematic branch of normative theory. A case can nevertheless be made that the field is already quite active, with contributions coming in from areas as diverse as fundamental metaphysics and social/political philosophy. In (...) this pair of papers, we try to unify the field, reflecting on its basic nature, structure, and methodology. (shrink)

Which concepts should we use to think and talk about the world and to do all of the other things that mental and linguistic representation facilitates? This is the guiding question of the field that we call ‘conceptual ethics’. Conceptual ethics is not often discussed as its own systematic branch of normative theory. A case can nevertheless be made that the field is already quite active, with contributions coming in from areas as diverse as fundamental metaphysics and social/political philosophy. In (...) this pair of papers, we try to unify the field, reflecting on its basic nature, structure, and methodology. (shrink)

Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured previous (...) discussions of these projects, and presents clear, concise accounts of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed. (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)

In contemporary society, identities—culture; race; ethnicity; gender; and lesbian, gay, bisexual, and transgender —are at the heart of discourses of belonging and related collectivist constructions of meaning. As distinct social markers, they clearly demarcate the society in ways that also have political implications. The discussion of identity politics below takes a nominally genealogical approach beginning with modern philosophy’s individualistic account. It then decenters this narrative and posits that the field has been ill-equipped to grapple with the power of identity as (...) a source of belonging, a moral critique, and as a site of political conflict. Education is the primary context of the discussion, which is framed as the quest for cultural and social pluralism. Although the term identity has roots in Western philosophy and more recently in psychology, identity politics is a highly contested expression in education, political theory and in philosophy. Bernstein :47–74, 2005) traced its origin as a formal term to 1979, where social science scholars coined the phrase as a label for a type of activism. Its initial iteration pertained to persons with disabilities who challenged prevailing societal perceptions. Over the next two decades, scholars broadened its use to mean a category of collective action that included violent ethnic conflict and activist nationalism. Below, the discussion of the term begins with its semantic and philosophical provenance and explores its discursive engagement with the ever modifying meanings of gender, race or ethnicity and sexual orientation in society and education. It is association with these categories as forms of joint group membership that ipso facto gives rise to political activism to advance beliefs, bring about change or to promote a given worldview. (shrink)

Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers (...) a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual. (shrink)

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)

This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a mathematical background, and because it covers not simply the staple topics of an intermediate logic course such as Godel's Incompleteness (...) Theorems, but also a large number of optional topics from Turing's theory of computability to Ramsey's theorem. John Burgess has now enhanced the book by adding a selection of problems at the end of each chapter, and by reorganising and rewriting chapters to make them more independent of each other and thus to increase the range of options available to instructors as to what to cover and what to defer. (shrink)

ABSTRACT Pettigrove advances a persuasive case against the proportionality principle. In my view, the moral respect that his modus operandi account of virtue affords to each person’s ‘characteristic way of being’ is also to be applauded. While various philosophers have come to believe in the proportionality principle, it is something that presupposes a monistic account of value. Moreover, it is readily arguable that the kind of abstraction that this involves provides nothing more than an illusion of understanding, and that any (...) supposed insights associated with it have no genuine or practical application. While Pettigrove presents the modus operandi account of virtue as something that competes with consequentialist accounts of virtue, his discussion of consequentialist considerations is both minimal and equivocal. With this in mind, I seek to challenge Pettigrove’s apparent suggestion that the goodness of virtue is always ‘fundamental’. (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)

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)

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)

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.

Tim Mulgan presents a penetrating examination of consequentialism: the theory that human behavior must be judged in terms of the goodness or badness of its consequences. The problem with consequentialism is that it seems unreasonably demanding, leaving us no room for our own aims and interests. In response, Mulgan offers his own, more practical version of consequentialism--one that will surely appeal to philosophers and laypersons alike.

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

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.

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)

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)

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.

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)

This paper considers the implications of precautionary restrictions against technologies, in the context of the potential for creating and sustaining rumours. It focuses on the restriction against mobile phone use at petrol stations, based on the rumour that a spark might cause an explosion. Rumours have been substantiated by precautionary usage warnings from mobile phone manufacturers, petrol station usage restrictions, and a general lack of technical understanding. Petrol station employees have themselves spread the rumour about alleged incidents, filling the information (...) gap about the basis for the restriction. (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)

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.

In placing education at the centre, as The Main Enterprise of the World, Philip Kitcher has undertaken a monumental task. He has come to the field of philosophy of education captivated by the importance of its substantive preoccupations for the advancement of democratic aims. Accordingly, his book argues that the most salient obstruction to preparing citizens who will contribute to society is the seeming irreconcilability of the demands of industry, on the one hand, and of students’ personal growth, on the (...) other. In spite of his desire to accommodate diverse accounts of the human good, and his recognition of the formative role of culture, broadly conceived, there are strains in his account of human fulfilment deriving from the disjunction of the self and others. It is not evident, on his Deweyan onto-epistemology, that there is adequate attention to the imprint on an individual, and on the beliefs they come to form, of proximal social groups. The nature of the balance between ‘in-group’ and ‘out-group’ influences, between those that are near and those that are far, can profoundly affect the plausibility of Kitcher's account of a socially based sense of fulfilment. (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)

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)

Religion, spirituality, and contemporary shamanic practice in Scotland : exploring the relationships -- The impacts of transformational cultural change on religion and spirituality -- Seeking a new definition of religion -- What is shamanism? -- A case study of three shamanic practice groups in Scotland -- Exploring connections between cross-cultural shamanic elements and neo-shamanic expressions in Scotland : interviews, participant observation, and analysis -- Applying Hervieu-Lger's analytical model of religion to reveal a lineage of spirituality, not belief, in the shamanic (...) chain of memory -- Patterns, conclusions, and resulting issues -- Seeing differently : a new paradigm of spirituality and religion. (shrink)

The phenomenology of agency has, until recently, been rather neglected, overlooked by both philosophers of action and philosophers of consciousness alike. Thankfully, all that has changed, and of late there has been an explosion of interest in what it is like to be an agent. 1 This burgeoning field crosses the traditional boundaries between disciplines: philosophers of psychopathology are speculating about the role that unusual experiences of agency might play in accounting for disorders of thought and action; cognitive scientists are (...) developing models of how the phenomenology of agency is generated; and philosophers of mind are drawing connections between the phenomenology of agency and the nature of introspection, phenomenal character, and agency itself. My aim in this paper is not to provide an exhaustive survey of this recent literature, but to provide a.. (shrink)