ABSTRACTThis paper provides a detailed account of the period of the complex history of British algebra and geometry between the publication of George Peacock's Treatise on Algebra in 1830 and William Rowan Hamilton's paper on quaternions of 1843. During these years, Duncan Farquharson Gregory and William Walton published several contributions on ‘algebraical geometry’ and ‘geometrical algebra’ in the Cambridge Mathematical Journal. These contributions enabled them not only to generalize Peacock's symbolical algebra on the basis of geometrical considerations, but (...) also to initiate the attempts to question the status of Euclidean space as the arbiter of valid geometrical interpretations. At the same time, Gregory and Walton were bound by the limits of symbolical algebra that they themselves made explicit; their work was not and could not be the ‘abstract algebra’ and ‘abstract geometry’ of figures such as Hamilton and Cayley. The central argument of the paper is that an understanding of the contributions to ‘algebraical geometry’ and ‘geometrical algebra’ of the second generation of ‘scientific’ symbolical algebraists is essential for a satisfactory explanation of the radical transition from symbolical to abstract algebra that took place in British mathematics in the 1830s–1840s. (shrink)

It is argued that the two main accounts of ignorance in the contemporary literature—in the terms of the lack of knowledge and the lack of true belief—are lacking in key respects. A new way of thinking about ignorance is offered that can accommodate the motivations for both of the standard views, but which in the process also avoids the problems that afflict these proposals. In short, this new account of ignorance incorporates the idea that ignorance essentially involves not just the (...) absence of a certain epistemic good, but also an intellectual failing of inquiry. It is further contended that making sense of this normative dimension to ignorance requires one to situate one’s account of ignorance within a wider epistemic axiology. (shrink)

This paper surveys attempts in the recent literature to offer a modal condition on knowledge as a way of resolving the problem of scepticism. In particular, safety-based and sensitivity-based theories of knowledge are considered in detail, along with the anti-sceptical prospects of an explicitly anti-luck epistemology.

Thomas Hobbes often includes powers and abilities in his descriptions of the world. Meanwhile, Hobbes’s philosophical picture of the world appears quite reductive, and he seems sometimes to say that nothing exists but bodies in motion. In more extreme versions of such a picture, there would be no room for powers. Hobbes is not an eliminativist about powers, but his view does tend toward ontological minimalism. It would be good to have an account of what Hobbes thinks powers are, and (...) how they fit into his understanding of the world. In this chapter, I investigate Hobbes’s account of the metaphysics of powers and abilities. Section 1 considers three important aspects of Hobbes’s account of powers: the connection between powers and causes; the modal aspects of powers; and the connection between powers and motions. Sections 2 and 3 then consider interpretive arguments about whether Hobbes identifies powers with underlying corporeal features. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Donald Davidson famously argued, contra radical skepticism, that belief is in its nature veridical. In assessing whether Davidson was successful in this regard, it is first necessary to establish the exact philosophical basis Davidson was adducing for this claim, which is far from clear. In particular, a lot of the critical focus on Davidson's approach to radical skepticism has tended to focus on his appeal to an omniscient interpreter, and yet a closer evaluation of Davidson's antiskepticism reveals that this notion (...) is almost certainly dialectically inessential. Following some introductory remarks, in Section 2, I outline how the project of radical interpretation, and the associated principle of charity, are key parts of the philosophical background to Davidson's argument against radical skepticism. In Section 3, I critically evaluate Davidson's appeal to an omniscient interpreter. In Section 4, I demonstrate the role that Davidson's specific brand of content externalism plays in his antiskepticism, in particular in virtue of his notion of triangulation. Finally, in Section 5 I consider, and defend, an interpretation of Davidson's view that treats it as a kind of transcendental argument against skepticism. (shrink)

Contributing to the naturalistic virtue ethics tradition, Natural Citizens applies recent work in the life sciences to develop a form of ethical naturalism that aspires to be non-reductive yet empirically responsible.

This chapter contains sections titled: Introduction What Are the Biological Sciences (Not)? Systematics Ecology and Evolution Levels of Selection Conclusion References.

This advanced textbook, now in its second edition, provides an accessible overview of some of the main issues in contemporary epistemology. Written by an expert in the field, it covers such key topics as virtue epistemology, anti-luck epistemology, epistemological disjunctivism, epistemic value, understanding, radical scepticism, and contextualism. This book is ideal as a set text for an advanced undergraduate or postgraduate course in epistemology, and will also be of general interest to researchers in philosophy.

The Making of British Bioethics provides the first in-depth study of how philosophers, lawyers and other 'outsiders' came to play a major role in discussing and helping to regulate issues that used to be left to doctors and scientists. It details how British bioethics emerged thanks to a dynamic interplay between sociopolitical concerns and the aims of specific professional groups and individuals who helped create the demand for outside involvement and transformed themselves into influential 'ethics experts'. Highlighting this interplay helps (...) us appreciate how issues such as embryo research and assisted dying became high-profile 'bioethical' concerns in the late twentieth century, and why different groups now play a critical role in developing regulatory standards and leading public debates. The book draws on a wide range of original sources and will be of interest to historians of medicine and science, general historians and bioethicists. (shrink)

This book approaches Hobbes's philosophy from a completely new perspective: his creativity. Creativity is the production of something which experts consider to be original, valuable and of high quality. James Hamilton explores Hobbes's creativity by focusing on his development, personality, and motivation in the context of his culture and environment, and on the ways in which he thought creatively, as inferred from his writings. Identification of the ideas which Hobbes drew upon is an important part of the study for (...) two reasons. First, they are necessary to determine which of Hobbes's ideas and theories are original and which are not. Second, analysis of his creativity requires an understanding of the ideas from which he drew. Hamilton concludes that Hobbes became a great philosopher because of his creative virtuosity. (shrink)

Alexander Hamilton presents his early formative years, sharing the way his engagement with the cyanotype process has informed his art practice, from his time at Edinburgh College of Art, to his program of exhibitions and residencies, through to his work within the field of public arts. This personal history is combined with essays by academics, scholars and curators who engage with the intellectual roots of his work and practice. A comprehensive selection of Hamilton’s photography, including his unique plant-based (...) cyanotypes, completes this beautiful book. (shrink)

Does Augustine put his finger on time? -- Time for history -- Determination -- Self-determination -- Time, knowledge and truth.

Language was central to Hobbes's understanding of human beings and their mental abilities, and criticism of other philosophers' uses of language became a favorite critical tool for him. This paper connects Hobbes's theories about language to his criticisms of others' language, examining Hobbes's theories of propositions and truth, and how they relate to his claims that various sorts of proposition are absurd. It considers whether Hobbes in fact means anything more by 'absurd' than 'false'. And it pays particular attention to (...) Hobbes's categorization of causes of absurdity and of types of incoherent proposition, arguing that Hobbes's approach is only loosely related to later discussions of category mistakes. (shrink)

Fumerton’s distinctive brand of metaepistemological scepticism is compared and contrasted with the related position outlined by Stroud. It is argued that there are at least three interesting points of contact between Fumerton and Stroud’s metaepistemology. The first point of contact is that both Fumerton and Stroud think that (1) externalist theories of justification permit a kind of non-inferential, perceptual justification for our beliefs about non-psychological reality, but it’s not sufficient for philosophical assurance. However, Fumerton claims, while Stroud denies, that (2) (...) direct acquaintance with facts is sufficient for philosophical assurance. And this is important because Stroud thinks that (3) we have direct perceptual access or acquaintance with facts about the external world, while Fumerton denies this. (shrink)

Lovescapes introduces the reader to the various meanings and manifestations of love and its many cognates such as compassion, caring, altruism, empathy, and forgiveness. It addresses how love and compassion have been understood in history and the religions of the world. It goes on to explore the ways that our environments and heredity influence our capacity to love and suggests ways to cultivate love and compassion in one's life. The book shows how the values of love and compassion are integral (...) to finding humane solutions to the daunting problems we face as individuals, as a human family, and as an earth community--a world in crisis. (shrink)

Affect Theory, Genre, and the Example of Tragedy employs Silvan Tomkins' Affect-Script theory of human psychology to explore the largely unacknowledged emotions of disgust and shame in tragedy. The book begins with an overview of Tomkins' relationship to both traditional psychoanalysis and theories of human motivation and emotion, before considering tragedy via case studies of Oedipus, Hamlet, and Death of a Salesman. Aligning Affect-Script theory with literary genre studies, this text explores what motivates fictional characters within the closed conditions of (...) their imagined worlds and how we as an audience relate to and understand fictional characters as motivated humans. (shrink)

What would it mean to have a suitably ‘realistic’ account of political liberty? On the one hand, I don’t think we can properly understand liberty without an underlying account of personhood or agency.2 In making sense of liberty, we need to ask: What kind of agency does it presuppose or promote? What kind of independence do we care most about? What does it mean to exercise control, or to be self-guiding, in the kind of world we live in today? At (...) the same time, a conception of moral and political personhood needs to be appropriately ‘realistic’: It shouldn’t be over-idealized (or over-simplified), nor demand more than can be reasonably expected, given the kind of creatures we are. (shrink)

This chapter conceptually analyzes the post-traumatic stress injuries called moral injury, moral fatigue or exhaustion, and broken spirit. It then identifies two puzzles. First, soldiers sometimes sustain moral injury even from doing right actions. Second, they experience moral exhaustion from making decisions even where the morally right choice is so obvious that it shouldn’t be stressful to make it; and even where rightness of decision is so murky that no decision could be morally faulted. The injuries result of mistaken moral (...) self-evaluation. Methods of preventing and treating these injuries are defended, including training in self-forgiveness, moral off-loading of actions and decisions to persons and devices less likely to feel inappropriate guilt, and the use of drugs to prevent such guilt. The foregoing has been about moral injury erroneously resulting from the non-violation of a correct moral code. But the chapter then introduces the concept of moral pseudo-injury—felt moral injury that has in reality resulted from violation of a false moral code, so that no one has really been morally injured. This can be used as a method in warfighting. And since the injuries it produces are illusory, this would be morally superior to physical violence. For it causes less injury to its victims, and should cause less guilt in those who must inflict it. Historical precedents are considered. Finally, our enemies often use moral pseudo-injury against us, in the form of terrorist violence against civilians. Terrorism causes comparatively few harms, yet we mistakenly see it as more morally horrific than conventional combat that causes much worse loss of life among armed forces members. Here we need the nuancing and clarifying power of philosophy to restore a sense of proportion, thence to prevent or therapize the moral pseudo-injury we may experience from these sorts of attacks. (This is a pre-penultimate version of the published version, available from OUP at the external link, which contains minor variances. The paper was earlier known as "PTSD Weaponized: A Theory of Moral Injury"; that now superseded version is archived under "past conferences" on the Center for Ethics and the Rule of Law website.). (shrink)

This chapter discusses the fundamental question of the defense industry’s role and legitimacy for societies. It begins with a parable of a psychopath doing something self-serving that has beneficial moral consequences. Analogously, it is argued, the defense industry profiting by selling weapons that can kill people makes it useful in solving moral problems not solvable by people with ordinary moral scruples. Next, the chapter argues that while the defense industry is a business, it is also implicated in the security of (...) its home nations. In addition, its products can be used for good or evil. Thus, it must navigate conflicting values, with the result that the rules often thought to rightly regulate the industry—codes of business ethics, engineering ethics, procurement ethics, plus laws of the land, and dicta of conscience—need supplementing by general moral reflection. This chapter argues for a principle that tells how to decide when to violate the rules, for a theory of rational choice on which choosing by this principle is rational, and for teaching that theory to defense industry employees to ensure their ethical behavior. (shrink)

A certain conception of the relevance of virtue epistemology to the philosophy of education is set out. On this conception, while the epistemic goal of education might initially be promoting the pupil's cognitive success, it should ultimately move on to the development of the pupil's cognitive agency. A continuum of cognitive agency is described, on which it is ultimately cognitive achievement, and thus understanding, which is the epistemic goal of education. This is contrasted with a view on which knowledge is (...) the epistemic goal. (shrink)

An overview of the import of disjunctivism to the problem of radical scepticism is offered. In particular, the disjunctivist account of perceptual experience is set out, along with the manner in which it intersects with related positions such as naïve realism and intentionalism, and it is shown how this account can be used to a motivate an anti-sceptical proposal. In addition, a variety of disjunctivism known as epistemological disjunctivism is described, and it is explained how this proposal offers a further (...) way of responding to radical scepticism. (shrink)

By bringing together the insights of ecclesial ethics, an approach that emphasizes the distinctive nature of the church as the community that forms its mind and character after its reading of Scripture, with the theory and practice of restorative justice, a way of conceiving justice-making that emerged from the Mennonite-Anabaptist tradition, this book shows why a theological account of the theory and practice of restorative justice is fruitful for articulating and clarifying the witness of the church, especially when faced with (...) conflict or wrongdoing. This can help extend the church's imagination as to how it might better become God's community of restoration as it reflects on the ways in which the justice of God is taking shape in its own community. “How does an ecclesial context shape the theological apprehension and praxis of justice?” This question orientates the book. In particular, it asks how, in view of its members having been admitted into God's restoring justice in Christ, the church might embody in the world this same justice of restoring right relationships. While Christian reflection on the nature of justice has tended to favour a judicial and retributive conception of justice, it will be argued that the biblical understanding of the justice of God is best understood as a saving, liberating, and restorative justice. It is this restorative conception that ought to guide the community that reads Scripture so that it might be embodied in life. (shrink)

This chapter contains sections titled: Of Jerks and “Nice” Guys Gurus of The Game Aristotle: My Wingman After The Game.

My aim in this chapter is to take the complexity of our histories of rights as seriously as the nature of rights themselves. Let me say immediately that the point is not to satisfy our sense of moral superiority by smugly pointing out the prejudices found in arguments made over three hundred years ago. We have more than our own share of problems and prejudices to deal with. Rather, in coming to grips with this history, and especially how early-modern political (...) theorists struggled with the extension and application of natural rights to the ‘New World’, we may learn something about our own struggles to extend human rights beyond the boundaries of the state system of which Grotius, Hobbes, Locke and Vattel were among the key intellectual architects. For Richard Tuck, the autonomous rights-bearing agent at the heart of liberal individualism is a product of seventeenth-century theorizing about the nature of the autonomous state acting in the international sphere. The sovereign individual is the ‘traditional cousin of the sovereign state’, argues Tuck, and especially the aggressive, violent, and minimally constrained relative described by Hugo Grotius, Thomas Hobbes, John Locke and Emer de Vattel. Thus the connection between liberalism and imperialism, on this reading, is not merely chronological or historical but metaphysical. The analogy between the sovereign state and the sovereign individual acting on the basis of their natural rights, constrained by the recognition of the basic rights of others (but not much more than that) represents an influential vision of liberal freedom. This minimalist account of freedom represents only one vision, however, and Tuck’s account of the pre-history of liberal rights has to be balanced against other conceptions, including more emancipatory ones. (shrink)

The relevance of Wittgenstein for ethics depends on which Wittgenstein we mean. I argue that we should distinguish not only between Wittgenstein's personal opinions and his philosophy, but also, within his philosophical work, between broadly methodological remarks and what Wittgenstein might call genuinely philosophical remarks (which are not about philosophy but try to bring clarity to the mind bewitched by language). Wittgenstein's personal opinions will be considered irrelevant by most philosophers (although I try to show that they are not as (...) crazy as some people might think), and his philosophical remarks consist only of what he calls ?boring truisms?. It is to his methodology, therefore, that we might expect philosophers to look for ethical implications. If that methodology is well conceived, though, it should be ethically neutral. I argue that it is neutral in this way, that Wittgensteinian philosophy says nothing about ethics, but that its proper use will not likely leave our philosophical beliefs about ethics unscathed. (shrink)

Can liberalism survive? In this edited collection, twenty leading political theorists explore the future and past of liberal political thought. Covering issues such as migration, climate change, the family, multiculturalism, structural injustice, rights, justice, equality, misinformation, illiberalism (and post-liberalism) - amongst others - the essays engage with fundamental normative and conceptual questions, as well as detailed analyses of specific historical and contextual challenges facing liberalism today. Forthcoming in May 2024.

Millions of us increasingly seek happiness in fads and self-help books, reaching upward every day toward some enlightened state that we wish to attain. Surfing icon Laird Hamilton is more intent on looking inward and appreciating the brilliant creatures we already are. In Liferider, Laird uses five key pillars-Death & Fear, Heart, Body, Soul, and Everything Is Connected-to illustrate his unique worldview and life practices, offering inspiration to anyone who wants to elevate their ordinary, landlocked lives to do extraordinary (...) things. This is Laird Hamilton in his own words--raw, honest, and unvarnished--on topics he has rarely explored before. Based on extensive interviews and conversations between Laird and his coauthor, Julian Borra, with additional insights from Laird's wife, pro-volleyball player Gabby Reece, Liferider takes on human resilience, relationships, business, technology, risk-taking, and the importance of respecting the natural world, all through the lens of Laird's extraordinary life both in and beyond the ocean. (shrink)

What is it like to experience rapture? For philosopher Christopher Hamilton, it is a loss of self that is also a return to self—an overflowing and emptying out of the self that also nourishes and fills the self. In this inviting book, he reflects on the nature of rapture and its crucial yet unacknowledged place in our lives. Hamilton explores moments of rapture in everyday existence and aesthetic experience, tracing its disruptive power and illuminating its philosophical significance. Rapture (...) is found in sexual love and other forms of intense physical experience, such as Philippe Petit’s nerve-defying wire walk between the Twin Towers. Hamilton also locates it in quieter but equally joyous moments, such as contemplating a work of art or the natural world. He considers a range of examples in philosophy and culture—Nietzsche and Weil, Woolf and Chekhov, the extremes of experience in Werner Herzog’s films—as well as aspects of ordinary life, from illness to gardening. Conversational and evocative, this book calls on us to ask how we might make ourselves more open to experiences of rapturous joy and freedom. (shrink)

"Yoga and life are journeys, and this book is a wonderful guide along the path!"—Greg Louganis, four-time Olympic gold medalist Holistic wisdom for sustained peace Ally Hamilton changed her life with the eight limbs of yoga, a spiritual tradition first recorded in the Yoga Sutras 1,600 years ago. Join Ally as she shows you how to apply the wisdom of this honored tradition to your modern-day life. Physical poses—asanas—are the best-known aspects of yoga, but in the eight limbs practice, (...) healing comes through exploring your relationship to the world and to yourself while learning to recognize the obstacles that block your path. Yoga's Healing Power shows how to create the life you want from the inside out, working with your mind and emotions, your body and breath, your memories and your pain. With hands-on exercises, meditations, journaling prompts, and stories of healing, this book helps you uncover your particular gifts and begin to feel joy. Praise: "Ally is really onto something fantastic with Yoga's Healing Power...We're not talking just physical yoga; this is yoga as a way of life."—Kathryn Budig, author of Aim True "I was deeply humbled and greatly inspired by Ally Hamilton's courageous take on life, love, loss, and surrender."—Claire Bidwell Smith, author of The Rules of Inheritance. (shrink)