Mathematicians often intentionally leave gaps in their proofs. Based on interviews with mathematicians about their refereeing practices, this paper examines the character of intentional gaps in published proofs. We observe that mathematicians’ refereeing practices limit the number of certain intentional gaps in published proofs. The results provide some new perspectives on the traditional philosophical questions of the nature of proof and of what grounds mathematical knowledge.

We present a taxonomy of errors in the scientific literature and an account of how the errors are distributed over the categories. We have developed the taxonomy by studying substantial errors in the scientific literature as described in retraction notices published in the journal Science over the past 35 years. We then examine how the sorts of errors that lead to retracted papers can be prevented and detected, considering the perspective of collaborating scientists, journal editors and referees, and readers of (...) the published articles. (shrink)

We present a case study of how mathematicians write for mathematicians. We have conducted interviews with two research mathematicians, the talented PhD student Adam and his experienced supervisor Thomas, about a research paper they wrote together. Over the course of 2 years, Adam and Thomas revised Adam’s very detailed first draft. At the beginning of this collaboration, Adam was very knowledgeable about the subject of the paper and had good presentational skills but, as a new PhD student, did not yet (...) have experience writing research papers for mathematicians. Thus, one main purpose of revising the paper was to make it take into account the intended audience. For this reason, the changes made to the initial draft and the authors’ purpose in making them provide a window for viewing how mathematicians write for mathematicians. We examined how their paper attracts the interest of the reader and prepares their proofs for validation by the reader. Among other findings, we found that their paper prepares the proofs for two types of validation that the reader can easily switch between. (shrink)

The authorship policies of scientific journals often assume that in order to be able to properly place credit and responsibility for the content of a collaborative paper we should be able to distinguish the contributions of the various individuals involved. Hence, many journals have introduced a requirement for author contribution statements aimed at making it easier to place credit and responsibility on individual scientists. We argue that from a purely descriptive point of view the practices of collaborating scientists are at (...) odds with the requirement for author contribution statements. We also argue that from a normative point of view the authorship policies may be unnecessary. Our arguments draw on an examination of 35 years of retraction notices in the journal Science. (shrink)

Mathematicians appear to have quite high standards for when they will rely on testimony. Many mathematicians require that a number of experts testify that they have checked the proof of a result p before they will rely on p in their own proofs without checking the proof of p. We examine why this is. We argue that for each expert who testifies that she has checked the proof of p and found no errors, the likelihood that the proof contains no (...) substantial errors increases because different experts will validate the proof in different ways depending on their background knowledge and individual preferences. If this is correct, there is much to be gained for a mathematician from requiring that a number of experts have checked the proof of p before she will rely on p in her own proofs without checking the proof of p. In this way a mathematician can protect her own work and the work of others from errors. Our argument thus provides an explanation for mathematicians’ attitude towards relying on testimony. (shrink)

It has been a common belief among scientists, including mathematicians, that young scientists are especially good at bringing about scientific change. A number of studies suggest, however, that older scientists are not more resistant to change than young scientists are. It is nonetheless worth examining why a scientist’s or mathematician’s outsider status – due to age, educational background, or something else – can sometimes be effective in enabling scientific change. This paper focuses on the case of the solving of the (...) Four Color Problem by Wolfgang Haken and Kenneth Appel. Building on Donald MacKenzie’s paper ‘Slaying the kraken: The sociohistory of a mathematical proof’, I argue that Haken’s outsider status is central to understanding his success with the problem. On this basis, I offer an argument against Margaret Gilbert’s account of why a scientist’s outsider status can be effective in enabling scientific change. (shrink)

If we want to understand why mathematical knowledge is extraordinarily reliable, we need to consider both the nature of mathematical arguments and mathematical practice as a social practice. Mathematical knowledge is extraordinarily reliable because arguments in mathematics take the form of deductive mathematical proofs. Deductive mathematical proofs are surveyable in the sense that they can be checked step by step by different experts, and a purported proof is only accepted as a proof by the mathematical community once a number of (...) experts have checked the proof. Hence, the reliability of the body of mathematical knowledge is in part obtained through the surveyability of proofs and the social process of proof validation. This chapter reviews work relating to (1) the norm in the mathematical community of only counting as argument deductive mathematical proof, and (2) the norm of only counting as deductive mathematical proof an argument that has been confirmed to be a deductive mathematical proof by a number of experts. The chapter also presents cases of unusual mathematical proofs or arguments that challenge these norms. (shrink)

The phenomenon of shared intention has received much attention in the philosophy of mind and action. Margaret Gilbert (1989, 2000c, 2014b) argues that a shared intention to do A consists in a joint commitment to intend to do A. But we need to know more about the nature of joint commitments to know what exactly this implies. While the persistence of joint commitments has received much attention in the literature, their impersistence has received very little attention. In this paper, we (...) shed light on the impersistence of joint commitments by showing how joint commitments can be dissolved by unexpected events. (shrink)

In his account of scientific revolutions, Thomas Kuhn suggests that after a revolutionary change of theory, it is as if scientists are working in a different world. In this paper, we aim to show that the notion of world change is insightful. We contrast the reporting of the discovery of neon in 1898 with the discovery of hafnium in 1923. The one discovery was made when elements were identified by their atomic weight; the other discovery was made after scientists came (...) to classify elements by their atomic number. By considering two instances of the reporting of the discovery of a new chemical element 25 years apart, we argue that it becomes clear how chemists can be said to have been responding to different worlds as a result of the change in the concept of a chemical element. They saw, did, and reported different things as they conducted their research on the new chemical elements. (shrink)

The primary question addressed in this article is how to understand and produce praxis development in the complex and contentious field of street communities of young marginalized men, an area highlighted almost on a daily basis in the Danish media under headlines with terms such as ‘foreigner problems’, ‘ghetto problems’, ‘gang conflicts’ and ‘gang war’. Since 2009, activists and professionals related to this field have gathered at Grundtvigs Højskole where they initiated and inspired community building activities in relation to the (...) recent gang conflicts in the Copenhagen area of Denmark. The article explores these practices and changes, including some of the communal initiatives arising in response to the escalating gang conflicts. The conflict and community building activities are contextualized in terms of broader tendencies and changes in Danish society, from enduring struggles with ethnic othering of young minority men since the late 1990s, to other societal changes escalating ‘gang-conflicts’ to ‘gang-war’. The article examines how these changes produce new dynamics, tensions and dimensions of binary thinking, which in turn creates new dilemmas in the everyday lives of the people involved in social work practice, community building activities and praxis research. (shrink)

William James’ Principles of Psychology, in which he made famous the ‘specious present’ doctrine of temporal experience, and Edmund Husserl’s Zur Phänomenologie des inneren Zeitbewusstseins, were giant strides in the philosophical investigation of the temporality of experience. However, an important set of precursors to these works has not been adequately investigated. In this article, we undertake this investigation. Beginning with Reid’s essay ‘Memory’ in Essays on the Intellectual Powers of Man, we trace out a line of development of ideas (...) about the temporality of experience that runs through Dugald Stewart, Thomas Brown, William Hamilton, and finally the work of Shadworth Hodgson and Robert Kelly, both of whom were immediate influences on James (though James pseudonymously cites the latter as ‘E.R. Clay’). Furthermore, we argue that Hodgson, especially his Metaphysic of Experience (1898), was a significant influence on Husserl. (shrink)

This chapter examines the philosophical discussion concerning the relationship between time, memory, attention, and consciousness, from Locke through the Scottish Common Sense tradition, in terms of its influence on James' development of the specious present doctrine. The specious present doctrine is the view that the present moment in experience is non punctate, but instead comprises some nonzero amount of time; it contrasts with the mathematical view of the present, in which the divide between past and future is merely a point (...) or a line with no thickness. The anonymous source for the term 'specious present' is revealed as a retired businessman-turned-amateur philosopher. The more likely source for the idea itself is a little-known philosopher, Shadworth Hollway Hodgson, who was not merely a significant influence on James but also on Husserl's development of the tripartite account of internal time consciousness. I conclude by demonstrating how James' changing views on the relationship between concepts and experience meant that by the later period of his writings, including those in which he develops his own views on pragmatism, James would have not merely noted the contrast between a mathematical conception of the present and our actual experience of it, he would have taken a further step and condoned the thick experience of the present as demonstrating the inadequacy of the intellectualized mathematical characterization. (shrink)

The idea that people’s numerical identity may sometimes be discontinuous over time initially appears to provide useful material for defending restrictions on putatively self-harming behaviour in a non-paternalistic manner. According to this line of thinking, sometimes a putatively self-harming act is, in fact, a matter of ‘harm to others’. Yet, in this paper I argue that if we, as we ought to do, take into consideration the non-identity problem, this challenges the notion that the agent at T1 is in (...) fact imposing harm on anyone, even when we accept that he or she is numerically different from the agent at T2. If the life of the agent at T2 is still worth living, the agent is not worse off than he or she would have been in spite of the consequences pertaining to the putatively self-harming act since he or she would otherwise never have come into existence. In this way, the argument I put forward in this paper calls in question the ability of the shifting identity argument to actually justify imposing restrictions on self-harming behaviour. (shrink)

The paper reviews the current state of play around anti-representationalist attempts at countering Clark and Toribio’s representation-hunger thesis. It introduces a distinction between different approaches to Chemero’s Radical embodied cognition thesis in the form of, on the one hand, those pushing a hard line and, on the other, those who are more relaxed about their anti-representationalist commitments. In terms of overcoming Clark and Toribio’s thesis, hardliners seek to avoid any mentioning of mental content in the activity they purport to (...) explain. Yet, the paper argues, adopting a hard line complicates this endeavor considerably and unnecessarily. Those promoting a relaxed REC, however, are better off in that they have no problem in recognizing that some types of cognition are hybrid. By turning to Hutto and Myin’s Radical Enactivism as a prime example of a relaxed approach to the REC thesis, the paper points towards the lack of continuity between covariant information and informational content as the gap that would necessarily have to be closed in order for RECers to, once and for all, be able to dismiss Clark and Toribio’s hypothesis that certain kinds of cognition are per definition off-limits to anti-representationalism. (shrink)

The unquestionable achievement of J. G. A. Pocock's The Machiavellian Moment was to describe the retention of pre-modern values in a modern society. Pocock was notoriously accused of decentring Locke and side-lining the Liberal Tradition. A more pertinent critique had it that he failed to articulate how civic humanism in the context of increasingly commercial societies produced more than Jeremiahs or Cassandras. This article explains how Pocock responded to his various critics by inventing the term “commercial humanism” in an effort (...) to clarify the way in which classical virtue was modified in modern commercial contexts, especially by natural jurists and republicans. Commercial humanism proved controversial but stimulated one of the most original scholars working in the history of political thought, István Hont, to undertake a prolonged engagement with Pocock's revisionist ideas, which ultimately allowed him to answer Pocock's critics better than Pocock, whose voice remained too in tune with those whose view of modern political thought he had rejected. For Hont, Pocock's labours in the history of political thought remained less relevant to present politics than they might become, once the depth of eighteenth-century analyses of the relationship between wealth and virtue was recovered. (shrink)

This book describes the pedagogical foundations of the Roskilde Model of education and educational design. It presents knowledge about how principles of problem-oriented, interdisciplinary and participant-directed project work may serve as a basis for planning and applying educational activities at institutions of higher learning. It discusses the dilemmas, problems, and diverging views that have challenged the model, provoking experiments and reforms that have helped develop practice without compromising the key principles. The Roskilde Model combines various student-centered learning concepts into a (...) nexus, providing the foundation for a consistent pedagogical practice that is strongly supported by the educational structure and the academic profile of the university. A complex concept, the Roskilde Model refers to three different aspects: The first one is problem-oriented interdisciplinary and participant-directed project work (PPL). At Roskilde University, half of all study activities are organized in line with this particular pedagogical approach. The second aspect the model refers to is the organizing of university education on the basis of four interdisciplinary bachelor programmes. These programmes are part of the humanities, social sciences, natural sciences, and humanistic-technological sciences and give admission to two-year master programmes in a broad range of disciplines. The third aspect the model refers to is the interdisciplinary academic and educational profile of the university. (shrink)

In this article, drawing on the discursive psychology of Rom Harré, we show how mapping the exchange of words among people might disclose a complex reality; not merely that which farmers explicitly talk ‘about’ but the reality implicitly at stake within the communication. More specifically, we show how discourses involving modern farmers reveal an underlying placing in an abstract space, having sub-spaces defined by the life-orientation, sense of self and according self-positioning of modern people. In this way, we construct a (...) road map of a set of ‘individualities’ characterizing the life of modern farmers: an individuality of citizenship, an individuality of geographies and an individuality of experience. Consequently, farmers face the problem that this multiplicity of individuality prevents them from communicating, as we will call it, univocally in the public by contrast to the univocal voices of other established social groups. We will analyse the structure of that problem by viewing diverse relations between the authority and the authenticity of different partners in the conversation on land use. (shrink)

We use recent developments within philosophy of science and within certain strands of linguistic research to throw light on each other. According to Ronald Giere's perspectivist philosophy of science, the scientific understanding of reality must proceed along different, mutually irreducible lines of approach. Giere's proposal, however, leaves unresolved the problem of how to integrate the ever‐growing multitude of highly diverse scientific accounts of what is, after all, one and the same world. We propose a technique for the alignment of different (...) perspectives that will permit cross‐perspectival explanation, and thus allow for a more holistic picture of reality to emerge. With respect to modern linguistics, however, Giere's perspectivism merely legalises a de facto state of affairs, as this discipline displays the peaceful coexistence of a multitude of different theoretical perspectives. Still, this makes it all the more important to show how the different aspects of language picked out by these different perspectives combine to form one single complex reality. During our investigation, a largely overlooked type of reduction within linguistics comes to light, prevalent in classical as well as current work within speech act theory and politeness theory. We suggest how a more holistic understanding of language can be attained through our technique for integrating different perspectives. (shrink)

Public health nursing is grounded in public health ideologies and fundamental nursing values. Researchers have argued that ethical responsibility from the perspective of the nurse is an understudied phenomenon. This meta-ethnography provides in-depth knowledge of how public health nurses (PHNs) experience ethical responsibility when working to prevent injury and disease, and promote health and well-being in children, young people and their families. There are reciprocal findings across the 10 included studies. The findings reveal that these nurses often feel alone, have (...) worries and uncertainties and are afraid of doing wrong. They describe unclear boundaries in their work, creating a heightened sense of responsibility. PHNs fight lonely battles. Yet they show courage and commitment and are ready to stand up and fight for children and families who do not receive adequate care. A line of argument is developed and the metaphorical phrase Chivalrous knights in moral armour is used to express the authors’ overall interpretations of the findings. Reflection on the findings shows how the different dimensions of ethical responsibility are interconnected. The nurses’ ethical sensitivity enables them to feel compassion for others and they show indignation when vulnerable others are not treated with dignity and respect. Indignation and compassion are interrelated, and when human life and dignity are threatened, the ethical demand to respond emerges. Indignation is a precursor to moral courage, and the nurses’ moral sensitivity and respect for their clients emboldens them to stand up for vulnerable others. The findings also illustrate the paradoxical nature of freedom. Freedom of choice due to unclear boundaries heightens the nurses' sense of responsibility. This research is an important step in theory development and has implications for further research, education and practice. (shrink)

In Kate Bush’s 1993 album, The Red Shoes, and her film, The Line, the Cross and the Curve, she engages with the symbolism of The Red Shoes fairytale as first depicted in Hans Christian Andersen’s 1845 fairy tale and later developed by the Powell and Pressburger film of the same name. In Bush’s versions of the tale she attempts to find a space of agency for the main female protagonist in a plot structure over-determined by patriarchal narrative and (...) symbolic logic. I will argue that it is through her own use of mystical symbolism — the Line, the Cross and the Curve — mediated through the deployment of ritual magick and kabbalistic ritual — that she breaks the ‘spell’ of the red shoes story where the main female character can escape the gender specific ‘curse’ of the red shoes. (shrink)

What is infinity? It's reading the last line of a book and imagining the rest. No, wait, it's the instruction manual for the machine that operates the sun and the stars. In unexpected observations, captivating images, and even some equations, celebrated Argentinian author-illustrator Pablo Bernasconi, finalist for the 2018 Hans Christian Andersen Award, offers up verses about what infinity could mean to all of us. Winner of the Grand Prize from the Asociación de Literatura Infantil y Juvenil de (...) la Argentina (ALIJA) in 2018, Infinity is a book children and adults alike will find endlessly fascinating. (shrink)

Open peer commentary on the article “Interactivity and Enaction in Human Cognition” by Matthew Isaac Harvey, Rasmus Gahrn-Andersen & Sune Vork Steffensen. Upshot: In contrasting an interactivity account alternative to variants on the enactive approach, the authors discuss the role of sense-making. They claim that their interactivity perspective, unlike enactive approaches, accounts for a dependency on “non-local” resources characteristic of many organisms. I draw attention to the cybernetic-enactivist perspective on homeostatic sense-making, which may fundamentally fail to explain the operationally (...) open nature of organismic regulatory processes better captured by Sterling’s notion of “allostasis.” This sense-making model appears to be more in line with Harvey et al.’s interactivity framework, focusing as it does on the regulatory effect of extrinsic “norms” rather than the cybernetic-enactivist focus on intrinsic “norms.”. (shrink)

The Enron debacle, the demise of Arthur Andersen, questionable practices at Tyco, Qwest, WorldCom, and a seemingly endless list of others have pushed public regard for business and business leaders to new lows. The need for smart leaders with vision and integrity has never been greater. Things need to change-- and it will not be easy. We can take a first step toward producing better business leaders by changing some of our own ideas about what it means to "win." (...) Noel M. Tichy and Andrew R. McGill have brought together a stellar group of contributors from a variety of perspectives-- including General Electric CEO Jeffrey Immelt, former Secretary of State James A. Baker III, and renowned management gurus Robert Quinn and C. K. Prahalad, among others-- to offer insights that will help build better leaders, communities, and organizations. They show how to present a "Teachable Point of View" about business ethics that will help all leaders within an organization: Internalize core values Build a values-based culture across the organization Become engaged to teach the same values lessons to their staff Take action and raise the ethical bar Successful business leaders must be able to articulate their own unique Teachable Point of View on business ethics and drive it through their organization to ensure that everyone knows the ethical line and is neither shy nor silent if others risk crossing it. (shrink)

The book deals with the notion of Downward Causation from a wide array of perspectives, including physics, biology, psychology, social science, communication studies, text theory, and philosophy. The book includes proponents as well as opponents discussing the validity of the notion.

Over the last decades, science has grown increasingly collaborative and interdisciplinary and has come to depart in important ways from the classical analyses of the development of science that were developed by historically inclined philosophers of science half a century ago. In this paper, I shall provide a new account of the structure and development of contemporary science based on analyses of, first, cognitive resources and their relations to domains, and second of the distribution of cognitive resources among collaborators and (...) the epistemic dependence that this distribution implies. On this background I shall describe different ideal types of research activities and analyze how they differ. Finally, analyzing values that drive science towards different kinds of research activities, I shall sketch the main mechanisms underlying the perceived tension between disciplines and interdisciplinarity and argue for a redefinition of accountability and quality control for interdisciplinary and collaborative science. (shrink)

Thomas Kuhn's Structure of Scientific Revolutions became the most widely read book about science in the twentieth century. His terms 'paradigm' and 'scientific revolution' entered everyday speech, but they remain controversial. In the second half of the twentieth century, the new field of cognitive science combined empirical psychology, computer science, and neuroscience. In this book, the theories of concepts developed by cognitive scientists are used to evaluate and extend Kuhn's most influential ideas. Based on case studies of the Copernican revolution, (...) the discovery of nuclear fission, and an elaboration of Kuhn's famous 'ducks and geese' example of concept learning, this volume, first published in 2006, offers accounts of the nature of normal and revolutionary science, the function of anomalies, and the nature of incommensurability. (shrink)

Even though the evidence‐based medicine movement (EBM) labels mechanisms a low quality form of evidence, consideration of the mechanisms on which medicine relies, and the distinct roles that mechanisms might play in clinical practice, offers a number of insights into EBM itself. In this paper, I examine the connections between EBM and mechanisms from several angles. I diagnose what went wrong in two examples where mechanistic reasoning failed to generate accurate predictions for how a dysfunctional mechanism would respond to intervention. (...) I then use these examples to explain why we should expect this kind of mechanistic reasoning to fail in systematic ways, by situating these failures in terms of evolved complexity of the causal system(s) in question. I argue that there is still a different role in which mechanisms continue to figure as evidence in EBM: namely, in guiding the application of population‐level recommendations to individual patients. Thus, even though the evidence‐based movement rejects one role in which mechanistic reasoning serves as evidence, there are other evidentiary roles for mechanistic reasoning. This renders plausible the claims of some critics of evidencebased medicine who point to the ineliminable role of clinical experience. Clearly specifying the ways in which mechanisms and mechanistic reasoning can be involved in clinical practice frames the discussion about EBM and clinical experience in more fruitful terms. (shrink)

In this field guide, I distinguish five separate senses with which the term ‘mechanism’ is used in contemporary philosophy of science. Many of these senses have overlapping areas of application but involve distinct philosophical claims and characterize the target mechanisms in relevantly different ways. This field guide will clarify the key features of each sense and introduce some main debates, distinguishing those that transpire within a given sense from those that are best understood as concerning distinct senses. The ‘new mechanisms’ (...) sense is at the center of most of these contemporary debates and will be treated at greater length; subsequent senses of mechanism will be primarily distinguished from this one. In part I of this paper, I distinguish two senses of the term ‘mechanism’, both of which are explicitly hierarchical and nested in character, such that any given mechanism is comprised of smaller sub-mechanisms, in turn comprised of yet smaller sub-sub-mechanisms and so on. While both of the senses discussed here are anti-reductive, they differ in their focus on scientific practice versus metaphysics, in the degree of regularity they attribute to mechanisms, and in terms of their relationships to the discussions of mechanisms in the history of philosophy and science. (shrink)

A key question in the philosophy of logic is how we have epistemic justification for claims about logical entailment (assuming we have such justification at all). Justification holism asserts that claims of logical entailment can only be justified in the context of an entire logical theory, e.g., classical, intuitionistic, paraconsistent, paracomplete etc. According to holism, claims of logical entailment cannot be atomistically justified as isolated statements, independently of theory choice. At present there is a developing interest in—and endorsement of—justification holism (...) due to the revival of an abductivist approach to the epistemology of logic. This paper presents an argument against holism by establishing a foundational entailment-sentence of deduction which is justified independently of theory choice and outside the context of a whole logical theory. (shrink)

A finer-grained delineation of a given explanandum reveals a nexus of closely related causal and non- causal explanations, complementing one another in ways that yield further explanatory traction on the phenomenon in question. By taking a narrower construal of what counts as a causal explanation, a new class of distinctively mathematical explanations pops into focus; Lange’s characterization of distinctively mathematical explanations can be extended to cover these. This new class of distinctively mathematical explanations is illustrated with the Lotka-Volterra equations. There (...) are at least two distinct ways those equations might hold of a system, one of which yields straightforwardly causal explanations, but the other of which yields explanations that are distinctively mathematical in terms of nomological strength. In the first, one first picks out a system or class of systems, finds that the equations hold in a causal -explanatory way; in the second, one starts with the equations and explanations that must apply to any system of which the equations hold, and only then turns to the world to see of what, if any, systems it does in fact hold. Using this new way in which a model might hold of a system, I highlight four specific avenues by which causal and non- causal explanations can complement one another. (shrink)

In interdisciplinary research scientists have to share and integrate knowledge between people and across disciplinary boundaries. An important issue for philosophy of science is to understand how scientists who work in these kinds of environments exchange knowledge and develop new concepts and theories across diverging fields. There is a substantial literature within social epistemology that discusses the social aspects of scientific knowledge, but so far few attempts have been made to apply these resources to the analysis of interdisciplinary science. Further, (...) much of the existing work either ignores the issue of differences in background knowledge, or it focuses explicitly on conflicting background knowledge. In this paper we provide an analysis of the interplay between epistemic dependence between individual experts with different areas of expertise. We analyze the cooperative activity they engage in when participating in interdisciplinary research in a group, and we compare our findings with those of other studies in interdisciplinary research. (shrink)

This paper articulates an account of causation as a collection of information-theoretic relationships between patterns instantiated in the causal nexus. I draw on Dennett’s account of real patterns to characterize potential causal relata as patterns with specific identification criteria and noise tolerance levels, and actual causal relata as those patterns instantiated at some spatiotemporal location in the rich causal nexus as originally developed by Salmon. I develop a representation framework using phase space to precisely characterize causal relata, including their degree (...) of counterfactual robustness, causal profiles, causal connectivity, and privileged grain size. By doing so, I show how the philosophical notion of causation can be rendered in a format that is amenable for direct application of mathematical techniques from information theory such that the resulting informational measures are causal informational measures. This account provides a metaphysics of causation that supports interventionist semantics and causal modeling and discovery techniques. (shrink)

The Golden Age of postwar capitalism has been eclipsed, and with it seemingly also the possibility of harmonizing equality and welfare with efficiency and jobs. Most analyses believe that the emerging postindustrial society is overdetermined by massive, convergent forces, such as tertiarization, new technologies, or globalization, all conspiring to make welfare states unsustainable in the future. Social Foundations of Postindustrial Economies takes a second, more sociological and more institutional, look at the driving forces of economic transformation. What, as a result, (...) stands out is postindustrial diversity, not convergence. Macroscopic, global trends are undoubtedly powerful, yet their influence is easily rivalled by domestic institutional traditions, by the kind of welfare regime that, some generations ago, was put in place. It is, however, especially the family economy that hold the key as to what kind of postindustrial model will emerge, and to how evolving tradeoffs will be managed. Twentieth-century economic analysis depended on a set of sociological assumptions that, now, are invalid. Hence, to better grasp what drives today's economy, we must begin with its social foundations. (shrink)

This paper discusses the Uniqueness Thesis, a core thesis in the epistemology of disagreement. After presenting uniqueness and clarifying relevant terms, a novel counterexample to the thesis will be introduced. This counterexample involves logical disagreement. Several objections to the counterexample are then considered, and it is argued that the best responses to the counterexample all undermine the initial motivation for uniqueness.

While the epistemic significance of disagreement has been a popular topic in epistemology for at least a decade, little attention has been paid to logical disagreement. This monograph is meant as a remedy. The text starts with an extensive literature review of the epistemology of (peer) disagreement and sets the stage for an epistemological study of logical disagreement. The guiding thread for the rest of the work is then three distinct readings of the ambiguous term ‘logical disagreement’. Chapters 1 and (...) 2 focus on the Ad Hoc Reading according to which logical disagreements occur when two subjects take incompatible doxastic attitudes toward a specific proposition in or about logic. Chapter 2 presents a new counterexample to the widely discussed Uniqueness Thesis. Chapters 3 and 4 focus on the Theory Choice Reading of ‘logical disagreement’. According to this interpretation, logical disagreements occur at the level of entire logical theories rather than individual entailment-claims. Chapter 4 concerns a key question from the philosophy of logic, viz., how we have epistemic justification for claims about logical consequence. In Chapters 5 and 6 we turn to the Akrasia Reading. On this reading, logical disagreements occur when there is a mismatch between the deductive strength of one’s background logic and the logical theory one prefers (officially). Chapter 6 introduces logical akrasia by analogy to epistemic akrasia and presents a novel dilemma. Chapter 7 revisits the epistemology of peer disagreement and argues that the epistemic significance of central principles from the literature are at best deflated in the context of logical disagreement. The chapter also develops a simple formal model of deep disagreement in Default Logic, relating this to our general discussion of logical disagreement. The monograph ends in an epilogue with some reflections on the potential epistemic significance of convergence in logical theorizing. (shrink)

The frame problem refers to the fact that organisms must be able to zero in on relevant aspects of the world and intelligently ignore the vast majority of the world that is irrelevant to their goals. In this paper we aim to point out the connection between two leading frameworks for thinking about how organisms achieve this. Predictive processing is a rapidly growing framework within cognitive science which suggests that organisms assign a high ‘weight’ to relevant aspects of the world, (...) effectively treating relevant aspects of the world as if they are more precise. This assignment of weight is called precision-weighting and is the predictive processing account of how organisms allocate their attention. Relevance Realization is a framework that conceptualizes an organism’s ability to realize relevance as resulting from a dynamical system in which a cognitive agent makes use of opponent processing relationships to zero in on relevant aspects of the world. In this paper we use recent work on the diametric model of autism and psychosis to demonstrate that the tradeoffs inherent to precision-weighting are also inherent to relevance realization. This connection will demonstrate that although these frameworks have a different intellectual background and use a different set of concepts and vocabulary, they are both pointing to the same underlying process. The fact that these different frameworks have converged on such a similar solution to the problem of how organisms realize relevance serves to demonstrate the plausibility of that solution. (shrink)

In this field guide, I distinguish five separate senses with which the term ‘mechanism’ is used in contemporary philosophy of science. Many of these senses have overlapping areas of application but involve distinct philosophical claims and characterize the target mechanisms in relevantly different ways. This field guide will clarify the key features of each sense and introduce some main debates, distinguishing those that transpire within a given sense from those that are best understood as concerning two distinct senses. The ‘new (...) mechanisms’ sense is the primary sense from which other senses will be distinguished. In part II of this field guide, I consider three further senses of the term that are ontologically ‘flat’ or at least not explicitly hierarchical in character: equations in structural equation models of causation, causal-physical processes, and information-theoretic constraints on states available to systems. After characterizing each sense, I clarify its ontological commitments, its methodological implications, how it figures in explanations, its implications for reduction, and the key manners in which it differs from other senses of mechanism. I conclude that there is no substantive core meaning shared by all senses, and that debates in contemporary philosophy of science can benefit from clarification regarding precisely which sense of mechanism is at stake. (shrink)

Default logic has been a very active research topic in artificial intelligence since the early 1980s, but has not received as much attention in the philosophical literature thus far. This paper shows one way in which the technical tools of artificial intelligence can be applied in contemporary epistemology by modeling a paradigmatic case of deep disagreement using default logic. In §1 model-building viewed as a kind of philosophical progress is briefly motivated, while §2 introduces the case of deep disagreement we (...) aim to model. On the heels of this, §3 defines our formal framework, viz., a refined Horty-style default logic. §4 then uses the framework to model deep disagreement, and finally §5 provides a critical discussion of the result. (shrink)

How regular do mechanisms need to be, in order to count as mechanisms? This paper addresses two arguments for dropping the requirement of regularity from the definition of a mechanism, one motivated by examples from the sciences and the other motivated by metaphysical considerations regarding causation. I defend a broadened regularity requirement on mechanisms that takes the form of a taxonomy of kinds of regularity that mechanisms may exhibit. This taxonomy allows precise explication of the degree and location of regular (...) operation within a mechanism, and highlights the role that various kinds of regularity play in scientific explanation. I defend this regularity requirement in terms of regularity’s role in individuating mechanisms against a background of other causal processes, and by prioritizing mechanisms’ ability to serve as a model of scientific explanation, rather than as a metaphysical account of causation. It is because mechanisms are regular, in the expanded sense described here, that they are capable of supporting the kinds of generalizations that figure prominently in scientific explanations. (shrink)

The aim of this paper is threefold. Firstly, §1 and §2 introduce the novel concept logical akrasia by analogy to epistemic akrasia. If successful, the initial sections will draw attention to an interesting akratic phenomenon which has not received much attention in the literature on akrasia (although it has been discussed by logicians in different terms). Secondly, §3 and §4 present a dilemma related to logical akrasia. From a case involving the consistency of Peano Arithmetic and Gödel’s Second Incompleteness Theorem (...) it’s shown that either we must be agnostic about the consistency of Peano Arithmetic or akratic in our arithmetical theorizing. If successful, these sections will underscore the pertinence and persistence of akrasia in arithmetic (by appeal to Gödel’s seminal work). Thirdly, §5 concludes by suggesting a way of translating the dilemma of arithmetical akrasia into a case of regular epistemic akrasia; and further how one might try to escape the dilemma when it’s framed this way. (shrink)

This volume offers a collection of in-depth explorations of pragmatism as a framework for discussions in philosophy of science and metaphysics. Each chapter involves explicit reflection on what it means to be pragmatist, and how to use pragmatism as a guiding framework in addressing topics such as realism, unification, fundamentality, truth, laws, reduction, and more. -/- .

This paper argues for the reasonableness of an inclusive conception of default reasoning. The inclusive conception allows untriggered default rules to influence beliefs: Since a default “from φ, infer ψ” is a defeasible inference rule, it by default warrants a belief in the material implication φ → ψ, even if φ is not believed. Such inferences are not allowed in standard default logic of the Reiter tradition, but are reasonable by analogy to the Deduction Theorem for classical logic. Our main (...) contribution is a formal framework for inclusive default reasoning. The framework has a solid philosophical foundation, it draws conclusions non-trivially different from non-inclusive frameworks, and it exhibits a host of benchmark properties deemed desirable in the literature—e.g., that extensions always exist and are consistent. (shrink)

Leuridan (2010) argued that mechanisms cannot provide a genuine alternative to laws of nature as a model of explanation in the sciences, and advocates Mitchell’s (1997) pragmatic account of laws. I first demonstrate that Leuridan gets the order of priority wrong between mechanisms, regularity, and laws, and then make some clarifying remarks about how laws and mechanisms relate to regularities. Mechanisms are not an explanatory alternative to regularities; they are an alternative to laws. The existence of stable regularities in nature (...) is necessary for either model of explanation: regularities are what laws describe and what mechanisms explain. (shrink)

In his analysis of “the essential tension between tradition and innovation” Thomas S. Kuhn focused on the apparent paradox that, on the one hand, normal research is a highly convergent activity based upon a settled consensus, but, on the other hand, the ultimate effect of this tradition-bound work has invariably been to change the tradition. Kuhn argued that, on the one hand, without the possibility of divergent thought, fundamental innovation would be precluded. On the other hand, without a strong emphasis (...) on convergent thought, science would become a mess created by continuous theory changes and scientific progress would again be precluded. On Kuhn’s view, both convergent and divergent thought are therefore equally necessary for the progress of science. In this paper, I shall argue that a similar fundamental tension exists between the demands we see for novel insights of an interdisciplinary nature and the need for established intellectual doctrines founded in the classical disciplines. First, I shall revisit Kuhn’s analysis of the essential tension between tradition and innovation. Next, I shall argue that the tension inherent in interdisciplinary research between, on the one hand, intellectual independence and critical scrutiny and, on the other hand, epistemic dependence and trust is a complement to Kuhn’s essential tension within mono-disciplinary science between convergent and divergent thought. (shrink)

Even in areas of philosophy of science that don’t involve formal treatments of truth, one’s background view of truth still centrally shapes views on other issues. I offer an informal way to think about truth as trueing, like trueing a bicycle wheel. This holist approach to truth provides a way to discuss knowledge products like models in terms of how well-trued they are to their target. Trueing emphasizes: the process by which models are brought into true; how the idealizations in (...) models are not false but rather like spokes in appropriate tension to achieve a better-trued fit to target; and that this process is not accomplished once and done forever, but instead requires upkeep and ongoing fine-tuning. I conclude by emphasizing the social importance of being a pragmatist about truth in order to accurately answer questions about science such as, “but do we really know that…”. (shrink)