In the mathematics education research literature, there is a growing body of scholarship on how mathematicians practice their craft. The purpose of this chapter is to survey some of this literature and explain how it can contribute to the philosophy of mathematical practice. We first describe how mathematics educators use empirical methodologies to investigate the behaviors of mathematicians and argue that findings from these studies can inform the philosophy of mathematical practice. We then illustrate this by summarizing research on mathematicians’ (...) understandings and mathematicians’ proof reading. (shrink)

In this article, we report a study in which 109 research-active mathematicians were asked to judge the validity of a purported proof in undergraduate calculus. Significant results from our study were as follows: (a) there was substantial disagreement among mathematicians regarding whether the argument was a valid proof, (b) applied mathematicians were more likely than pure mathematicians to judge the argument valid, (c) participants who judged the argument invalid were more confident in their judgments than those who judged it valid, (...) and (d) participants who judged the argument valid usually did not change their judgment when presented with a reason raised by other mathematicians for why the proof should be judged invalid. These findings suggest that, contrary to some claims in the literature, there is not a single standard of validity among contemporary mathematicians. (shrink)

Philosophical Pragmatism and International Relations bridges the gap between philosophical pragmatism and international relations, two disciplinary perspectives that together shed light on how to advance the study and conduct of foreign affairs. Authors in this collection discuss a broad range of issues, from policy relevance to peacekeeping operations, with an eye to understanding how this distinctly American philosophy, pragmatism, can improve both international relations research and foreign policy practice.

We advance a theory of inductive reasoning based on similarity, and test it on arguments involving mammal categories. To measure similarity, we quantified the overlap of neural activation in left Brodmann area 19 and the left ventral temporal cortex in response to pictures of different categories; the choice of of these regions is motivated by previous literature. The theory was tested against probability judgments for 40 arguments generated from 9 mammal categories and a common predicate. The results are interpreted in (...) the context of Hume’s thesis relating similarity to inductive inference. (shrink)

We advance a theory of inductive reasoning based on similarity, and test it on arguments involving mammal categories. To measure similarity, we quantified the overlap of neural activation in left Brodmann area 37 in response to pictures of different categories; the choice of LBA37 is motivated by previous literature. The theory was tested against probability judgments for 160 arguments generated from 16 mammal categories and a common predicate. The theory’s predictions correlate strongly with these estimates. Other brain regions previously implicated (...) in semantic cognition yield similarities that also allow the model to predict inductive judgments accurately whereas use of rated similarity in place of neural similarity is less successful. (shrink)

We advance a theory of inductive inference designed to predict the conditional probability that certain natural categories satisfy a given predicate given that others do (or do not). A key component of the theory is the similarity of the categories to one another. We measure such similarities in terms of the overlap of metabolic activity in voxels of various posterior regions of the brain in response to viewing instances of the category. The theory and similarity measure are tested against averaged (...) probability judgments elicited from a separate group of subjects. Fruit serve as categories in the present experiment; results are compared to earlier work with mammals. (shrink)

This article explores enchantment, disenchantment, and re-enchantment in reference to modern medicine’s view of the body. Before considering Weber’s enchantment paradigm, I question some core assumptions regarding sociology as methodologically scientific and value-free. Furthermore, I draw on Jenkins who helps to illustrate the difficulty of rooting terms such as enchantment, disenchantment, and re-enchantment; the question remains “which” historical and cultural period is employed as the basis for such sociological terms. Such questions are critical, but not entirely dismissive of modern (...) medicine as “disenchanted”; with some more explicit foundational and presuppositional context, disenchantment can be a helpful notion for approaching questions of the “new body.” St. Gregory Palamas’ Christian materialism and mystical anthropology present such an explicit foundation. Moreover, this Patristic foundation moves past the postmodern aporia of emphasizing either immanence or transcendence—two polar attractions that factor heavily in the way modern medicine views the body. (shrink)

In this article I examine an important episode in the growth of ‘mindfulness’ as a biomedical modality in Britain: the formation and establishment of Mindfulness-Based Cognitive Therapy (MBCT) by John Teasdale and his colleagues Mark Williams and Zindel Segal. My study, focusing on Teasdale’s contribution, combines ethnographic, oral historical and archival research to understand how mindfulness was disseminated or, to use a term sometimes used by mindfulness practitioners themselves, ‘transmitted’. Drawing on theoretical support from Max Weber, Michel Foucault and (...) Gilles Deleuze, I argue that transmission had a very specific form within the Buddhistic milieu that Teasdale occupied and within which he developed MBCT. To ‘transmit’ mindfulness was to transmit an experiential essence; a type of subjectivity that was seen as perennial, universal and radically distinct from its historical context. In tracing the recurring metaphysical, metaphorical and visual tropes of mindfulness and its transmission, I attempt to understand how Teasdale was embedded in both local and global networks of discourse and practice, and how his life and work contributed and depended upon an assemblage whose elements (institutional, technical, conceptual, textual) straddled empiricist psychology and religious mysticism. I also examine how authority, experience and knowledge were closely interwoven in the birth of British mindfulness, coming together to form an affectively compelling ‘diagram’ that shaped the way mindfulness was practiced and disseminated. In doing so, I aim to open up the possibility of studying the history of the human sciences from a new perspective: one which places an emphasis on the emotional impetus generated by metaphysical assumptions. (shrink)

A co-authored collaboration between a theatre practitioner and a clinical psychiatrist, this paper will examine Rough for Theatre II and Beckett’s demonstration of the way records are used to understand the human subject. Using Beckett’s play to explore interdisciplinary issues of embodiment and diagnosis, the authors will present a dialogue that makes use of the ‘best sources’ in precisely the same manner as the play’s protagonists. One of those sources will be Beckett himself, as Heron will locate the play in (...) its theatrical context through reflections upon his own practice as well as recent studies such as Beckett, Technology and the Body and Performing Embodiment in Samuel Beckett’s Drama ; another source will be the philosopher Wilhelm Windleband, whose 1901 History of Philosophy was read and noted upon by Beckett in the 1930s, as Broome will introduce a philosophical and psychiatric context to the exchange. Windelband is now a neglected figure in philosophy; but as one of the key figures of Neo-Kantianism in the late 19th century, his work was an important impetus to that of Rickert, Weber and Heidegger. Specifically, Windelband gives us the distinction between idiographic and nomothetic understanding of individuals, an approach that is of relevance to the psychiatric encounter. This academic dialogue will consider tensions between subjectivity and objectivity in clinical and performance practice, while examining Beckett’s analysis of the use of case notes and relating them back to Windelband’s ideas on the understanding of others. The dialogue took place in 2011 at the University of Warwick, and has since been edited by the authors. (shrink)

This paper explores some surprising effects of psychological trauma on memory and develops the puzzle of observer memory for trauma. Memory for trauma tends to have a third-person perspective, or observer perspective. But it appears observer memory, by having a novel visual point of view, tends to misrepresent the past. And many find it plausible that if a memory type tends to misrepresent, it cannot yield knowledge of, or justification for believing, details of past events. But it is also plausible (...) that, with respect to details of past trauma, observer memory can yield knowledge or justification. I argue for a novel set of views that offers a way out of the puzzle: observer memory does tend to misrepresent, but it still has epistemic power regarding details of the past, although with special limits; but observer memory for trauma has other epistemic powers too, in that it allows for a kind of self-awareness. (shrink)

Beneath the stylized violence and thrilling car crashes, the Mad Max films consider universal questions about the nature of human life, order and anarchy, justice and moral responsibility, society and technology, and ultimately, human redemption. In Mad Max and Philosophy, a diverse team of political scientists, historians, and philosophers investigates the underlying themes of the blockbuster movie franchise, following Max as he attempts to rebuild himself and the world. -/- This book guides you through the barren wastelands of a post-apocalyptic (...) future as you explore ethics and politics in The Wasteland, the importance of costumes and music, humankind's relationship with nature, commerce, gender, religion, madness, and more. (shrink)

The first edition of The Scientific Background to Modern Philosophy took the dialogue of science and philosophy from Aristotle through to Newton. This second edition adds eight chapters, taking the dialogue through the Enlightenment and up to Darwin. This anthology is an attempt to help bridge the gap between the history of science and the history of philosophy.

This paper initiates analytic inquiry into the metaphysics of masculinity. I argue that individual masculinities (such as ‘clone masculinity’ and ‘incel masculinity’) are distinct homeostatic property cluster kinds related to gender structures via processes of adherence, failed-adherence, selective adherence, and/or reinterpretation with respect to male-coded social norms.

Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, (...) class='Hi'>Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary. (shrink)

I distinguish two ways of explaining our capacity for ‘transparent’ knowledge of our own present beliefs, perceptions, and intentions: an inferential and a reflective approach. Alex Byrne (2011) has defended an inferential approach, but I argue that this approach faces a basic difficulty, and that a reflective approach avoids the difficulty. I conclude with a brief sketch and defence of a reflective approach to our transparent self-knowledge, and I show how this approach is connected with the thesis that we must (...) distinguish between a kind of self-knowledge that is of oneself as agent and another kind that is of oneself as patient. (shrink)

Gareth Matthews suggests that we can better understand the nature of philosophical inquiry if we recognize the central role played by perplexity. The seminal representation of philosophical perplexity is in Plato's dialogues; Matthews examines the intriguing shifts in Plato's attitude to perplexity and suggests that these may represent a course of philosophical development that philosophers follow even today.

Research that involves the creation of animals with human-derived parts opens the door to potentially valuable scientific and therapeutic advances, yet invokes unsettling moral questions. Critics and champions alike stand to gain from clear identification and careful consideration of the strongest ethical objections to this research. A prevailing objection argues that crossing the human/nonhuman species boundary introduces inexorable moral confusion (IMC) that warrants a restriction to this research on precautionary grounds. Though this objection may capture the intuitions of many who (...) find this research unsettling, it relies on mistaken views of both biology and moral standing, ultimately distorting the morally relevant facts. We critically examine IMC, identify mistaken essentialist assumptions, and reframe ethical concerns. The upshot is a stronger line of objection that encourages a more inclusive and productive ethical discourse. (shrink)

There are several theses in political science that are usually explicitly called ‘laws’. Other theses are generally thought of as laws, but often without being explicitly labelled as such. Still other claims are well-supported and arguably interesting, while no one would be tempted to call them laws. This situation raises philosophical questions: which theses deserve to be called laws and which not? And how should we decide about this? In this paper we develop and motivate a strategy for thinking about (...) laws in political science which integrates two core concepts: spatio-temporal stability and social mechanisms. The proposed strategy is a set of guidelines that political scientists can use to reflect on and argue about specific cases within their discipline, not a clear-cut demarcation criterion. We defend and motivate this strategy and apply it to two cases (one with respect to state repression, one about parliamentary elections). After we have developed and motivated our strategy for political science, we show that our proposal is relevant for other disciplines in the social sciences. We explain how our views fit into critical realism and embed them in the debate on laws in general philosophy of science and in the philosophy of the social sciences. (shrink)

Recent research on the evolution of religion has focused on whether religion is an unselected by-product of evolutionary processes or if it is instead an adaptation by natural selection. Adaptive hypotheses for religion include direct fitness benefits from improved health and indirect fitness benefits mediated by costly signals and/or cultural group selection. Herein, I propose that religious denominations achieve indirect fitness gains for members through the use of ecologically arbitrary beliefs, rituals, and moral rules that function as recognition markers of (...) cultural inheritance analogous to kin and species recognition of genetic inheritance in biology. This recognition signal hypotheses could act in concert with either costly signaling or cultural group selection to produce evolutionarily altruistic behaviors within denominations. Using a cultural phylogenetic analysis, I show that a large set of religious behaviors among extant Christian denominations supports the prediction of the recognition signal hypothesis that characters change more frequently near historical schisms. By incorporating demographic data into the model, I show that more-distinctive denominations, as measured through dissimilar characteristics, appear to be protected from intrusion by nonmembers in mixed-denomination households, and that they may be experiencing greater biological growth of their populations even in the present day. (shrink)

An important theme in recent experimental philosophy is that certain judgements (e.g. our judgements involving intentional action and causation) exhibit a kind of normative penetration whereby, in spite of a not-obviously-normative subject matter, they turn out to be sensitive to, and co-vary with, our normative attitudes in interesting and surprising ways. We present the results of several new experimental studies that suggest that our judgements about feasibility also appear to exhibit this kind of normative penetration in at least some cases; (...) that the best explanation of it involves attributing to subjects a certain kind of extensional error that results from conflating the question at hand with another question that is more salient given their normative attitudes; and that these conclusions have significant, though not straightforward, implications for our understanding of both normative penetration and feasibility, respectively. (shrink)

Ageing causes progressive decline in metabolic, behavioural, and physiological functions, leading to a reduced health span. The extracellular matrix (ECM) is the three‐dimensional network of macromolecules that provides our tissues with structure and biomechanical resilience. Imbalance between damage and repair/regeneration causes the ECM to undergo structural deterioration with age, contributing to age‐associated pathology. The ECM ‘Ageing Across the Life Course’ interdisciplinary research network (ECMage) was established to bring together researchers in the United Kingdom, and internationally, working on the emerging field (...) of ECM ageing. Here we report on a consultation at a joint meeting of ECMage and the Medical Research Council / Versus Arthritis Centre for Integrated Research into Musculoskeletal Ageing, held in January 2023, in which delegates analysed the key questions and research opportunities in the field of ECM ageing. We examine fundamental biological questions, enabling technologies, systems of study and emerging in vitro and in silico models, alongside consideration of the broader challenges facing the field. (shrink)

_Zoographies_ challenges the anthropocentrism of the Continental philosophical tradition and advances the position that, while some distinctions are valid, humans and animals are best viewed as part of an ontological whole. Matthew Calarco draws on ethological and evolutionary evidence and the work of Heidegger, who called for a radicalized responsibility toward all forms of life. He also turns to Levinas, who raised questions about the nature and scope of ethics; Agamben, who held the "anthropological machine" responsible for the horrors (...) of the twentieth century; and Derrida, who initiated a nonanthropocentric ethics. Calarco concludes with a call for the abolition of classical versions of the human-animal distinction and asks that we devise new ways of thinking about and living with animals. (shrink)

Max Weber (1864-1920), generally known as a founder of modern social science, was concerned with political affairs throughout his life. The texts in this edition span his career and include his early inaugural lecture The Nation State and Economic Policy, Suffrage and Democracy in Germany, Parliament and Government in Germany under a New Political Order, Socialism, The Profession and Vocation of Politics, and an excerpt from his essay The Situation of Constitutional Democracy in Russia, as well as other shorter (...) writings. Together they illustrate the development of his thinking on the fate of Germany and the nature of politics in the modern western state in an age of cultural 'disenchantment'. The introduction discusses the central themes of Weber's political thought, and a chronology, notes and an annotated bibliography place him in his political and intellectual context. (shrink)

This chapter outlines something of Mario Bunge’s long life and career as a physicist-philosopher originally living and working in Argentina for 40 years, then in Canada for nearly 60 years. It indicates the extraordinary breadth, depth and quantity of his research publications. It deals briefly with some key components of his work, such as: systemism, causation, theory analysis, axiomatization, ontology, epistemology, physics, psychology and philosophy of mind, social science, probability and Bayesianism, defence of the Enlightenment project, and education. Finally, the (...) chapter gives an account of the structure of the festschrift, and an indication of each of the 41 contributions. (shrink)

Ethics Lost in Modernity: Reflections on Wittgenstein and Bioethics turns to the philosopher Ludwig Wittgenstein as a guide to understand the immense success--yet great danger--of bioethics. Matthew Vest traces the story of bioethics since its inception in the late 1960s as a way to uncover a number of hidden assumptions within modern ethics that relies upon scientific theorizing as the fundamental way of thinking. Autonomy and utilitarianism, in particular, are two nearly unquestioned goals of scientific theorizing that are easily (...) accessible, but at what cost? Vest argues that such an ethics enacts a thin moral calculation that runs the risk of enslaving ethics to scientism. Far from the depth of religious ethos and practices of virtue, modern ethics is lost amidst thin ethical theories, enacting a language game that instrumentalizes ethics in service of technological, bureaucratic, and professional end goals. He proposes that true moral living is far from anti-science, but rather is envisioned best when ethics and science are balanced with keen insights from ancient sacred cosmology. (shrink)

The word 'ought' is one of the core normative terms, but it is also a modal word. In this book Matthew Chrisman develops a careful account of the semantics of 'ought' as a modal operator, and uses this to motivate a novel inferentialist account of why ought-sentences have the meaning that they have. This is a metanormative account that agrees with traditional descriptivist theories in metaethics that specifying the truth-conditions of normative sentences is a central part of the explanation (...) of their meaning. But Chrisman argues that this leaves important metasemantic questions about what it is in virtue of which ought-sentences have the meanings that they have unanswered. His appeal to inferentialism aims to provide a viable anti-descriptivist but also anti-expressivist answer to these questions. (shrink)

The notion of a physiological individuals has been developed and applied in the philosophy of biology to understand symbiosis, an understanding of which is key to theorising about the major transition in evolution from multi-organismality to multi-cellularity. The paper begins by asking what such symbiotic individuals can help to reveal about a possible transition in the evolution of cognition. Such a transition marks the movement from cooperating individual biological cognizers to a functionally integrated cognizing unit. Somewhere along the way, did (...) such cognizing units simultaneously have cognizers as parts? Expanding upon the multiscale integration view of the Free Energy Principle, this paper develops an account of reciprocal integration, demonstrating how some coupled biological cognizing systems, when certain constraints are met, can result in a cognizing unit that is in ways greater than the sum of its cognizing parts. Symbiosis between V. Fischeri bacteria and the bobtail squid is used to provide an illustration this account. A novel manner of conceptualizing biological cognizers as gradient is then suggested. Lastly it is argued that the reason why the notion of ontologically nested cognizers may be unintuitive stems from the fact that our folk-psychology notion of what a cognizer is has been deeply influenced by our folk-biological manner of understanding biological individuals as units of reproduction. (shrink)

Surprisingly little has been written about hedged assertion. Linguists often focus on semantic or syntactic theorizing about, for example, grammatical evidentials or epistemic modals, but pay far less attention to what hedging does at the level of action. By contrast, philosophers have focused extensively on normative issues regarding what epistemic position is required for proper assertion, yet they have almost exclusively considered unqualified declaratives. This essay considers the linguistic and normative issues side-by-side. We aim to bring some order and clarity (...) to thinking about hedging, so as to illuminate aspects of interest to both linguists and philosophers. In particular, we consider three broad questions. 1) The structural question: when one hedges, what is the speaker’s commitment weakened from? 2) The functional question: what is the best way to understand how a hedge weakens? And 3) the taxonomic question: are hedged assertions genuine assertions, another speech act, or what? (shrink)

Die Traume und Visionen aus der antiken Literatur, die die romischen Kaiser und ihr Umfeld betreffen, wurden bislang noch nicht auf ihre Bedeutung hin untersucht. Die vorliegende Arbeit schliesst diese Lucke, indem sie das Material von Caesar bis Maurikios analysiert. Dabei ergeben sich spezifische Motive, die besonders mit Traumen und Visionen verbunden sind: Geburt und Kindheit, Verheissung der Herrschaft, Erringung eines Sieges und gottliches Eingreifen, Ausubung der Herrschaft, besondere Befahigung und gottliche Begunstigung, nahendes Ende. Durch den breiten zeitlichen Ansatz gelingt (...) es, fur die Motive unterschiedliche Schwerpunkte auszumachen: Sie stehen alle in der Spannung zwischen einer gezielten Verbreitung zur Schaffung von Akzeptanz und der Literarisierung durch die antiken Autoren. Fur die Behandlung der Thematik waren nicht nur definitorische Vorarbeiten notwendig, sondern auch der mentale Horizont moglicher Rezipienten musste durch die Interpretation von Inschriften, Papyri und Selbstaussagen antiker Autoren in den Blick genommen werden. (shrink)

Pragmatism has enjoyed a considerable revival in the latter part of the twentieth century, but what precisely constitutes pragmatism remains a matter of dispute. In reconstructing the pragmatic tradition in political philosophy, Matthew Festenstein rejects the idea that it is a single, cohesive doctrine. His incisive analysis brings out the commonalities and shared concerns among contemporary pragmatists while making clear their differences in how they would resolve those concerns. His study begins with the work of John Dewey and the (...) moral and psychological conceptions that shaped his philosophy. Here Festenstein lays out the major philosophic issues with which first Dewey, and then his heirs, would grapple. The book's second part traces how Dewey's approach has been differently developed, especially in the work of three contemporary pragmatic thinkers: Richard Rorty, Jurgen Habermas, and Hilary Putnam. This first full-length critical study of the relationship between the pragmatist tradition and political philosophy fills a significant gap in contemporary thought. (shrink)

Recent work has defended “Euclidean” theories of set size, in which Cantor’s Principle (two sets have equally many elements if and only if there is a one-to-one correspondence between them) is abandoned in favor of the Part-Whole Principle (if A is a proper subset of B then A is smaller than B). It has also been suggested that Gödel’s argument for the unique correctness of Cantor’s Principle is inadequate. Here we see from simple examples, not that Euclidean theories of set (...) size are wrong, but that they must be either very weak and narrow or largely arbitrary and misleading. (shrink)

If knowledge is sensitive to practical stakes, then whether one knows depends in part on the practical costs of being wrong. When considering religious belief, the practical costs of being wrong about theism may differ dramatically between the theist (if there is no God) and the atheist (if there is a God). This paper explores the prospects, on pragmatic encroachment, for knowledge of theism (even if true) and of atheism (even if true), given two types of practical costs: namely, by (...) holding a false belief, or by missing out on a true belief. These considerations set up a more general puzzle of epistemic preference when faced with the choice between two beliefs, only one of which could become knowledge. (shrink)

This book examines a main theme in religious epistemology, namely, the possibility of knowledge of God. Most often philosophers consider the rationality or justification of propositional belief about God, particularly beliefs about the existence and nature of God; and they will assess the conditions under which, if there is a God, such propositional beliefs would be knowledge, particularly in light of counter-evidence or the availability of religious disagreement. This book surveys such familiar areas, then turns toward newer and less-developed terrain: (...) interpersonal epistemology, namely what it is to know another person. It then explores the prospects for understanding what it might take to know God relationally, the contours of which are significant for many theistic traditions. (shrink)

This book addresses a range of relevant theoretical issues, including the possibility of an interpersonally comparable measure of well-being, or “utility” metric; the moral value of equality, and how that bears on the form of the social welfare function; social choice under uncertainty; and the possibility of integrating considerations of individual choice and responsibility into the social-welfare-function framework. This book also deals with issues of implementation, and explores how survey data and other sources of evidence might be used to calibrate (...) both a utility metric and a social welfare function, and whether distributive goals are ever best pursued through regulation rather than the tax system. In working through this range of theoretical and practical issues, the book draws from a wide variety of literatures, including philosophical scholarship on equality, responsibility, the nature of well-being, and personal identity over time; the social choice literature within economics; applied economic literatures concerning the measurement of inequality and poverty; legal and policy-analysis scholarship on cost-benefit analysis, environmental justice, and the choice between regulation and taxation; and the burgeoning field of “happiness studies”. (shrink)

Encyclopedia entry covering the growing literature on the Knowledge Norm of Assertion (and its rivals), the Knowledge Norm of Action (and pragmatic encroachment), the Knowledge Norm of Belief, and the Knowledge Norm of Disagreement.