Analysis of online mathematics forums can help reveal how explanation is used by mathematicians; we contend that this use of explanation may help to provide an informal conceptualization of simplicity. We extracted six conjectures from recent philosophical work on the occurrence and characteristics of explanation in mathematics. We then tested these conjectures against a corpus derived from online mathematical discussions. To this end, we employed two techniques, one based on indicator terms, the other on a random sample of comments lacking (...) such indicators. Our findings suggest that explanation is widespread in mathematical practice and that it occurs not only in proofs but also in other mathematical contexts. Our work also provides further evidence for the utility of empirical methods in addressing philosophical problems. (shrink)

The Argument Web is maturing as both a platform built upon a synthesis of many contemporary theories of argumentation in philosophy and also as an ecosystem in which various applications and application components are contributed by different research groups around the world. It already hosts the largest publicly accessible corpora of argumentation and has the largest number of interoperable and cross compatible tools for the analysis, navigation and evaluation of arguments across a broad range of domains, languages and activity types. (...) Such interoperability is key in allowing innovative combinations of tool and data reuse that can further catalyse the development of the field of computational argumentation. The aim of this paper is to summarise the key foundations, the recent advances and the goals of the Argument Web, with a particular focus on demonstrating the relevance to, and roots in, philosophical argumentation theory. (shrink)

The last century has seen many disciplines place a greater priority on understanding how people reason in a particular domain, and several illuminating theories of informal logic and argumentation have been developed. Perhaps owing to their diverse backgrounds, there are several connections and overlapping ideas between the theories, which appear to have been overlooked. We focus on Peirce’s development of abductive reasoning [39], Toulmin’s argumentation layout [52], Lakatos’s theory of reasoning in mathematics [23], Pollock’s notions of counterexample [44], and argumentation (...) schemes constructed by Walton et al. [54], and explore some connections between, as well as within, the theories. For instance, we investigate Peirce’s abduction to deal with surprising situations in mathematics, represent Pollock’s examples in terms of Toulmin’s layout, discuss connections between Toulmin’s layout and Walton’s argumentation schemes, and suggest new argumentation schemes to cover the sort of reasoning that Lakatos describes, in which arguments may be accepted as faulty, but revised, rather than being accepted or rejected. We also consider how such theories may apply to reasoning in mathematics: in particular, we aim to build on ideas such as Dove’s [13], which help to show ways in which the work of Lakatos fits into the informal reasoning community. (shrink)

We argue that there are mutually beneficial connections to be made between ideas in argumentation theory and the philosophy of mathematics, and that these connections can be suggested via the process of producing computational models of theories in these domains. We discuss Lakatos’s work (Proofs and Refutations, 1976) in which he championed the informal nature of mathematics, and our computational representation of his theory. In particular, we outline our representation of Cauchy’s proof of Euler’s conjecture, in which we use work (...) by Haggith on argumentation structures, and identify connections between these structures and Lakatos’s methods. (shrink)

We describe recent developments in research on mathematical practice and cognition and outline the nine contributions in this special issue of topiCS. We divide these contributions into those that address (a) mathematical reasoning: patterns, levels, and evaluation; (b) mathematical concepts: evolution and meaning; and (c) the number concept: representation and processing.

Records of online collaborative mathematical activity provide us with a novel, rich, searchable, accessible and sizeable source of data for empirical investigations into mathematical practice. In this paper we discuss how the resources of crowdsourced mathematics can be used to help formulate and answer questions about mathematical practice, and what their limitations might be. We describe quantitative approaches to studying crowdsourced mathematics, reviewing work from cognitive history (comparing individual and collaborative proofs); social psychology (on the prospects for a measure of (...) collective intelligence); human–computer interaction (on the factors that led to the success of one such project); network analysis (on the differences between collaborations on open research problems and known-but-hard problems); and argumentation theory (on modelling the argument structures of online collaborations). We also give an overview of qualitative approaches, reviewing work from empirical philosophy (on explanation in crowdsourced mathematics); sociology of scientific knowledge (on conventions and conversations in online mathematics); and ethnography (on contrasting conceptions of collaboration). We suggest how these diverse methods can be applied to crowdsourced mathematics and when each might be appropriate. (shrink)

The target article by Cohen Kadosh & Walsh (CK&W) raises questions as to the precise nature of the notion of abstractness that is intended. We note that there are various uses of the term, and also more generally in mathematics, and suggest that abstractness is not an all-or-nothing property as the authors suggest. An alternative possibility raised by the analysis of numerical representation into automatic and intentional codes is suggested.

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the discourse unfolds. We introduce a framework with these properties, which has been used to analyse mathematical dialogues and expository texts. The framework can recover salient elements of discourse at, and within, the sentence level, as well as the way mathematical content connects to form larger argumentative structures. (...) We show how the framework might be used to support computational reasoning, and argue that it provides a more natural way to examine the process of proving theorems than do Lamport’s structured proofs. (shrink)

As the average age of the population increases, so too do the number of people living with chronic illnesses. With limited resources available, the development of dialogue-based e-health systems that provide justified general health advice offers a cost-effective solution to the management of chronic conditions. It is however imperative that such systems are responsible in their approach. We present in this paper two main challenges for the deployment of e-health systems, that have a particular relevance to dialogue and argumentation: collecting (...) and handling health data, and trust. For both challenges, we look at specific issues therein, outlining their importance in general, and describing their relevance to dialogue and argumentation. Finally, we go on to propose six recommendations for handling these issues, towards addressing the main challenges themselves, that act both as general advice for dialogue and argumentation research in the e-health domain, and as a foundation for future work on this topic. (shrink)

John Fischer and Mark Ravizza defend in this book a painstakingly constructed analysis of what they take to be a core condition of moral responsibility: the notion of guidance control. The volume usefully collects in one place ideas and arguments the authors have previously published in singly or jointly authored works on this and related topics, as well as various refinements to those views and some suggestive discussions that aim to show how their account of guidance control might fit into (...) a more comprehensive account of moral responsibility. (shrink)

The thought that empathy plays an important role in moral motivation is almost a platitude of contemporary folk psychology. Parallel themes were mooted in German moral philosophy and aesthetics in the 1700s, and versions of the empathy construct remained prominent in continental accounts of moral motivation through the nineteenth century and early twentieth centuries. This chapter elucidates the Empathic Motivation Hypothesis (EMH) and sets out some of the conceptual and empirical challenges it faces. It distinguishes empathic concern from other dimensions (...) of empathy (e.g., resonance, attunement, distress, and non-empathic concern) and examines the merits of EMH as a developmental thesis, focusing on evidence from psychopathology and attachment theory. (shrink)

My project is to explain why the question ‘How does it feel to be a white problem?’ cannot be answered in the fluttering grammar of white talk. The whiteness of white talk lies not only in its having emerged from white mouths, but also in its evasiveness—in its attempt to suppress fear and anxiety, and its consequential [if unintended] reinscription and legitimation of racist oppression. I White talk is designed, indeed scripted, for the purposes of evading, rejecting, and remaining ignorant (...) about the injustices that flow from whiteness and its attendant privileges. I want to suggest a new point of entry—a way to flip the script, so to speak. -/- I begin with some observations about the basic advantages and disadvantages of using white talk as a route into the white problem. My account develops an expanded version of Alice MacIntyre’s definition of white talk that is attentive to the racialized bodily scripts that accompany white talk. I argue that white talk persists because it has an enduring and powerful moral, ontological, and epistemic pay off for white folks. I explore each payoff with an eye towards clarifying how white talk functions to maintain the illusion that we are invulnerable beings. Next, I pause to reply to the popular objection that this particular critique of white talk silences white people in conversations on race. If we cannot address the question ‘how does it feel to be a white problem’ in the fluttering grammar of white talk, then how shall we begin? In closing, I suggest that we might reduce fluttering by replacing white talk with a discourse of vulnerability, where vulnerability is defined not as weakness, but as a condition for potential. I offer some brief guidelines for how we might start this conversation. (shrink)

This short article argues that an adequate response to the implications for governance raised by ‘Big Data’ requires much more attention to agency and reflexivity than theories of ‘algorithmic power’ have so far allowed. It develops this through two contrasting examples: the sociological study of social actors used of analytics to meet their own social ends and the study of actors’ attempts to build an economy of information more open to civic intervention than the existing one. The article concludes with (...) a consideration of the broader norms that might contextualise these empirical studies, and proposes that they can be understood in terms of the notion of voice, although the practical implementation of voice as a norm means that voice must sometimes be considered via the notion of transparency. (shrink)

It is no accident that white privilege designed to be both be invisible and weightless to white people. Alison Bailey’s “On White Privilege and Anesthesia: Why Does Peggy McIntosh’s Knapsack Feel Weightless?” extends a weighty invitation white readers to complete the unpacking task McIntosh (1988) began when she compared white privilege to an “invisible and weightless knapsack.” McIntosh focuses primarily making white privilege visible to white people. Bailey’s project continues the conversation by extending a ‘weighty invitation’ to white readers (...) to explore why the metaphorical knapsack, despite the weight of its contents, feels weightless. Here’s the short answer. The knapsack only feels weightless because white people have become anesthetized us to our own brokenness. We are more comfortable considering what white privilege does for us than what it does to us. People of color feel the weight of whiteness every day. The weighty invitation invites white readers to become sensitive to our own insensitivity. To do this Bailey (1) explores white resistance to unpacking the weight; (2) people of color’s testimonies to the daily impact of the weight on their bodies; and (3) how the anesthesia of white privilege distorts our humanity. The article concludes with a McIntosh style list of that the anesthesia of privilege distorts white people’s humanity. (shrink)

Causes always seem to come prior to their effects. What might explain this asymmetry? Causation's temporal asymmetry isn't straightforwardly due to a temporal asymmetry in the laws of nature—the laws are, by and large, temporally symmetric. Nor does the asymmetry appear due to an asymmetry in time itself. This Element examines recent empirical attempts to explain the temporal asymmetry of causation: statistical mechanical accounts, agency accounts and fork asymmetry accounts. None of these accounts are complete yet and a full explanation (...) of the temporal asymmetry of causation will likely require contributions from all three programs. (shrink)

The book offers an original defence of a new materialist thesis that focuses on the biological core of humans to develop a theory of human rights.

This book explores the meaning and practice of corporeal ethics in organized life. Corporeal ethics originates from an emergent, embodied and affective experience with others that precedes and exceeds those rational schemes that seek to regulate it. Pullen and Rhodes show how corporeal ethics is fundamentally based in embodied affect, yet practically materialized in ethico-political acts of positive resistance and networked solidarity. Considering ethics in this way turns our attention to how people's conduct and interactions might be ethically informed in (...) the context of, and in resistance to, the masculine rationality of dominating organizational power relations in which they find themselves. Pullen and Rhodes outline the ways in which ethically grounded resistance and critique can and do challenge self-interested organizational power and privilege. They account for how corporeal ethics serves to destabilize the ways that organizations reproduce practices that negate difference and result in oppression, discrimination, and inequality. The book is suitable for students, scholars and citizens who want to learn more about the radical possibilities of how political actions arising from corporeal ethics can strive for equality and justice. (shrink)

Vladimir Putin's image functions as a political talisman far outside of the borders of his own country. By studying material objects, fan fiction and digital media, this book traces the satirical uses of Putin's public persona, notably how he stands as a foil for other world leaders. It argues that the internet is crucial to the creation of contemporary Putin memorabilia and that these items show a continued political engagement by young people, even as some political scientists and media experts (...) decry what they see as the opposite. The book further addresses the ways in which explicit sexual references about government officials are being used as everyday political commentary in the United States. Turning a critical eye to Putin kitsch shows how the number of such references skyrocketed during the 2016 US Presidential election campaign, and suggests that the phenomenon is likely to still be important when Americans next return to the polls. Finally, the internet makes possible a totally new kind of kitsch--the virtual kind. An examination of how the Russian president's image circulates via memes and parodies, as well as through apps and games, suggests that political culture has become increasingly participatory in the last decade. (shrink)

This paper problematises the ways women’s leadership has been understood in relation to male leadership rather than on its own terms. Focusing specifically on ethical leadership, we challenge and politicise the symbolic status of women in leadership by considering the practice of New Zealand Prime Minister Jacinda Ardern. In so doing, we demonstrate how leadership ethics based on feminised ideals such as care and empathy are problematic in their typecasting of women as being simply the other to men. We apply (...) different strategies of mimesis for developing feminist leadership ethics that does not derive from the masculine. This offers a radical vision for leadership that liberates the feminine and women’s subjectivities from the masculine order. It also offers a practical project for changing women’s working lives through relationality, intercorporeality, collective agency and ethical openness with the desire for fundamental political transformation in the ways in which women can lead. (shrink)

ABSTRACT This article suggests that Asian American rhetorics of sound destabilize representational politics by complicating the racialization of sonic difference. The author investigates the relationship between notions of Asian American citizenship and not-Blackness in vocal performance. By attending to sonic rhetorics through Awkwafina’s blaccent controversy, the article explores the condition of epistemic violence that position Asian American voices as “unhearable.”.

This is a long-overdue biography of the Huxleys: the Victorian natural historian T.H. Huxley ("Darwin's Bulldog") and his grandson, the scientist, conservationist, and zoologist Julian Huxley. Both T.H. and Julian suffered from depression, thinking and writing about the condition and genetic inheritance in highly curious ways. And between them, they communicated to the world the great modern story of the theory of evolution by natural selection. Because the grandson modeled himself so self-consciously on the grandfather, celebrated historian Alison Bashford (...) writes seamlessly about these omnivorous intellects together, almost as if they were one very long-lived man whose vital dates bookended the colossal shifts in world history from the age of sail to the Space Age, and from colonial wars to world wars to the cold war. The myriad questions that the Huxleys grappled with make them the perfect dynasty-companions for time travel over the age of evolution: What is the nature of time and how old is the Earth itself? What is the connection between human history and natural history? How are humans animals and how are we not? What is the deep past and the distant future of humankind? Can and should we actively seek to improve future generations? What might the planet look like 10,000 years hence? This momentous biography traces the problems and wonders of the modern world that the Huxleys themselves raised, postured, and pondered over lives that spanned the age of evolution. (shrink)

Many women wrote philosophy in nineteenth-century Britain, and they wrote across the full range of philosophical topics. Yet these important women thinkers have been left out of the philosophical canon and many of them are barely known today. The aim of this book is to put them back on the map. It introduces twelve women philosophers - Mary Shepherd, Harriet Martineau, Ada Lovelace, George Eliot, Frances Power Cobbe, Helena Blavatsky, Julia Wedgwood, Victoria Welby, Arabella Buckley, Annie Besant, Vernon Lee, and (...) Constance Naden. Alison Stone looks at their views on naturalism, philosophy of mind, evolution, morality and religion, and progress in history. She shows how these women interacted and developed their philosophical views in conversation with one another, not only with their male contemporaries. The rich print and periodical culture of the period enabled these women to publish philosophy in forms accessible to a general readership, despite the restrictions women faced, such as having limited or no access to university education. Stone explains how these women became excluded from the history of philosophy because there was a cultural shift at the end of the nineteenth century towards specialised forms of philosophical writing, which depended on academic credentials that were still largely unavailable to women. (shrink)

As Spinoza's near‐total omission from the history of physics reflects, Spinoza never produced a physics in this narrow sense: a careful and systematic investigation of bodies, forces, and their motions of the kind found in Descartes, Regius, or Huygens. Spinoza did have things to say about extension, motion, and the causal interactions of bodies. Understanding Spinoza's physics requires reckoning with his responses to Descartes. Like Descartes, Spinoza thinks that all and only bodies share an attribute, the attribute of Extension. Spinoza's (...) commitment to the “attribute‐neutrality” of some causal facts is reflected in his physics. Attribute‐neutrality can also make sense of some changes in the DPP. Physics investigates the nature and properties of bodies, so for Spinoza as for Descartes, it will involve an analysis of the attribute of Extension. Spinoza never drew out the detailed physical implications of his metaphysics of bodies. (shrink)

Even without Alzheimer's or dementia, most of us are prone to “ordinary forgetting”. The Good Place and careful philosophical reflection can help us think through memory loss, relationships, and making a place for each other as we live through the human condition. Throughout The Good Place, Chidi and Eleanor help each other develop and sustain their moral selves as well as their relationship. Stories are fundamental to our sense of self, right and wrong, and the kind of people we are. (...) To understand memory as a construction, we must understand the three stages of individual memory: encoding, storage, and retrieval. How we scaffold each other's identities and how we hold space for each other in the real world are ethical issues that have everything to do with memory and the stories we tell ourselves and each other. The Good Place can help us grapple with this. (shrink)

This chapter contains sections titled: Saddle Up and Swallow Your Pride The Made Hunter: Product and Agent Horses and Humans: A Foxhunting Partnership Foxhunting Resonances Notes.

The book offers an original defence of a new materialist thesis that focuses on the biological core of humans to develop a theory of human rights.

Women Activating Agency in Academia seeks to create and expand safe spaces for scholarly, professional and personal stories and assemblages of agency. It provides readers with the opportunity to connect with the strategies women are using to navigate academe and the core values, linked to trust, relationship, wellbeing and ethics of care, they live by. The collection offers the stories of women academics from around the globe and across disciplines and showcases their efforts to meaningfully listen and converse in order (...) to resist self-audit and diminished identities. Reflections come from a range of responsive, personal and aesthetic techniques, including writing groups, guided autobiography, auto-ethnography, collective activism and slow scholarship. Chapters engage with themes and ideas such as agency, neoliberalism, ontological security, androcentricity, identity and collegial support, which manifest in unique ways for female academics. The focus in this volume is what really matters to women in the academy, as they share their efforts to 'be' themselves in their work, to 'care for themselves and others' and to 'count what isn't counted'. It aims to prove how collaborative storytelling and discussion can empower female academics to preserve and achieve these ambitions. (shrink)

This article is inspired by theoretical developments within the social sciences that focus on the materiality of everyday objects and processes. Based on ethnographic research in the city of Carrara, in central Italy, the article discusses the experiences of both quarry workers and sculptors who work with marble. Through an exploration of one of the ‘qualisigns’ of marble — veining — the article draws attention to the material life of marble in the artistic imagination of sculptors and why materiality might (...) matter in social analysis. (shrink)

This is an easy to use, theme-based resource book for Philosophy for Children (P4C) practitioners in primary school settings. It covers 10 popular themes which include many current affair issues and enduring curriculum themes such as artificial intelligence, biodiversity, resilience, and waste. Each theme provides planning for every subject and links to the relevant English national curriculum expectations. Offering ideas for a year's worth of work, it can be dipped into for inspiration or used for step-by-step sessions. There are links (...) to video-clips, websites, and stories that teachers and practitioners can use to base their concept exploration and enquires on. Presenting a range of philosophical ideas, activities and resources, this book is essential for all primary P4C facilitators excited by embedding and exploring philosophy across the curriculum. (shrink)

In Feminist, Queer, Crip Alison Kafer imagines a different future for disability and disabled bodies. Challenging the ways in which ideas about the future and time have been deployed in the service of compulsory able-bodiedness and able-mindedness, Kafer rejects the idea of disability as a pre-determined limit. She juxtaposes theories, movements, and identities such as environmental justice, reproductive justice, cyborg theory, transgender politics, and disability that are typically discussed in isolation and envisions new possibilities for crip futures and feminist/queer/crip (...) alliances. This bold book goes against the grain of normalization and promotes a political framework for a more just world. (shrink)

Today's headlines are full of employee unrest over racial injustice, communities infuriated by corporate environmental impacts, staff anxiety over surveillance, and discoveries of child labor in supply chains. We've traveled far and fast from the old world of business ethics, where black-and-white concerns about bribery and fraud could be addressed with rules and processes. Simply maximizing shareholder value while not breaking the law is no longer an option, but we've never been so confused about what it means to do the (...) right thing. In this eye-opening, indispensable book, NYU ethics professor Alison Taylor argues that amid stakeholder demands and transparency pressures, we can no longer treat ethics as a legal and reputational defense mechanism. Leaders at Davos and the Business Roundtable have called for a new corporate responsibility paradigm, but how to implement their ideas remains an open question as organizations struggle in an atmosphere of heightened expectations and intense suspicion. Offering vivid stories and examples, Taylor brings this complex, risky environment alive to provide a blueprint for how leaders should rethink and reshape their practices. How can CEOs cut through the noise to set robust environmental and social priorities? When should they speak out on contentious social and political issues, and how? What does it really take to build a healthy organizational culture? How are we to approach corporate values when society is so divided? Higher Ground will show leaders how business can navigate this messy paradigm shift, build trust, and achieve long-term strategic advantage in a turbulent world. (shrink)

Recently, the theory theory has led to much interesting research. However, this is the first book to look at the theory in extensive detail and to systematically contrast it with other theories.