We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Émile Borel.

This accessible book gives a new, detailed and elementary explanation of the Gödel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no ...

MATHEMATICS is a wonderful, mad subject, full of imagination, fantasy and creativity that is not limited by the petty details of the physical world, but only by the strength of our inner light. Does this sound familiar? Probably not from the mathematics classes you may have attended. But consider the work of three famous earlier mathematicians: Leonhard Euler, Georg Cantor and Srinivasa Ramanujan.

Landini discusses the second edition of Principia Mathematica, to show Russella (TM)s intellectual relationship with Wittgenstein and Ramsey.

In this paper, I explain the curious role played by the Argument from Absolute Terms in Peter Unger's book Ignorance, I provide a critical presentation of the argument, and I consider some outstanding issues and the argument’s contemporary significance.

The information-theoretic point of view proposed by Leibniz in 1686 and developed by algorithmic information theory (AIT) suggests that mathematics and physics are not that different. This will be a first-person account of some doubts and speculations about the nature of mathematics that I have entertained for the past three decades, and which have now been incorporated in a digital philosophy paradigm shift that is sweeping across the sciences.

Virtually all historical treatments of just war recognize the importance of the account given by Thomas Aquinas in Summa theologiae II-II, q. 40, ?De bello?, where he outlines three conditions ? legitimate authority, just cause, and right intention ? for a justifiable use of armed force. It is, however, less well known that within the same section of the work (q. 50, a. 4) Aquinas extended his reflection on just war into a theory of military prudence. By placing generalship under (...) the category of ?prudence?, rather than ?art? or ?science?, he held that military command involves more than a morally neutral skill with victory as its sole aim. Building on the premise that service to the common good constitutes the overarching purpose of the military profession, Aquinas showed how the virtue of prudence provides an inner compass for decision-making amid the uncertainty and confusion of the battlefield. (shrink)

Now in its twentieth year of publication, this rich collection, popular among teachers and students alike, provides an in-depth look at major cases that have shaped the field of medical ethics. The book presents each famous (or infamous) case using extensive historical and contextual background, and then proceeds to illuminate it by careful discussion of pertinent philosophical theories and legal and ethical issues.

Hi everybody! It's a great pleasure for me to be back here at the new, improved Santa Fe Institute in this spectacular location. I guess this is my fourth visit and it's always very stimulating, so I'm always very happy to visit you guys. I'd like to tell you what I've been up to lately. First of all, let me say what algorithmic information theory is good for, before telling you about the new version of it I've got.

Death is the destiny we all share, and this will not change. Yet the way we die, which had remained the same for many generations, has changed drastically in a relatively short time for those in developed countries with access to healthcare. For generations, if people were lucky enough to reach old age, not having died in infancy or childhood, in childbirth, in war, or by accident, they would take to bed, surrounded by loved ones who cared for them, and (...) fade into death. Most likely, they would have seen their parents and grandparents die the same way, and so this manner of dying would be familiar: it was part of the natural cycle of life. Now less than 25 per cent of Americans die at home, having reached much older ages than people would have dreamed of in past generations, often after surviving many illnesses and even diseases that would have been terminal for their grandparents. We are fortunate to live (and die) today, supported by myriad scientific, medical, and technological advancements, however we also face new problems as a result of the new way in which we die. We can no longer anticipate a peaceful waning at home with family. We know our lives will likely end in hospitals likely after we have endured grueling treatments to prolong life. We have to decide what decisions we want our loved ones, or care-givers, to make when we cannot choose for ourselves. We have to think about whether in any circumstances we would seek physician-assisted death. We know we face other questions as well, but we may not even know where to start. In the face of these decisions, we can feel daunted and afraid. The best remedy is information and planning. In this book, Gregory Eastwood - a physician who has cared for dying patients, served as an ethics consultant, and taught end of life issues to medical and other health profession students - draws from his substantial experience with patients and families to provide the information that will help us think clearly about the choices and issues we will face at the end of our own lives, and when faced with the deaths of our loved ones. With sensitivity and profound insight, Eastwood guides us through all the important questions about death and dying in straightforward, clear language, enhanced by real-life stories. Throughout, he shows us how we can take ownership of the way we want to die, when we must die, and feel more in control as death approaches. (shrink)

Henry Kyburg’s lottery paradox (1961, p. 197) arises from considering a fair 1000 ticket lottery that has exactly one winning ticket. If this much is known about the execution of the lottery it is therefore rational to accept that one ticket will win. Suppose that an event is very likely if the probability of its occurring is greater than 0.99. On these grounds it is presumed rational to accept the proposition that ticket 1 of the lottery will not win. Since (...) the lottery is fair, it is rational to accept that ticket 2 won’t win either—indeed, it is rational to accept for any individual ticket i of the lottery that ticket i will not win. However, accepting that ticket 1 won’t win, accepting that ticket 2 won’t win, . . . , and accepting that ticket 1000 won’t win entails that it is rational to accept that no ticket will win, which entails that it is rational to accept the contradictory proposition that one ticket wins and no ticket wins. (shrink)

Preliminary Abstract: -/- The late Mary Midgley (1919-2018) was one of the most relevant and wide-ranging moral philosophers of the last century. For over forty years, she drew attention to the necessity of philosophy in everyday life while making significant contributions on such topics as human nature, ethics, animals and the environment, science, religion, and other real-world issues. Midgley’s remarkable career saw the publication of over 250 books, journal articles, pamphlets, and other materials, concluding with the publication of What Is (...) Philosophy For? at age 99, just one month before her death. This work was the last in a series of publications late in Midgley’s career that underscored her reputation as a singular thinker and a shining example of the significant presence of women in philosophy. -/- Mary Midgley on What Matters offers a window into this noteworthy period late in Midgley’s career. This volume invites the reader into a series of visits and conversations between Gregory McElwain and Mary Midgley at her home in Newcastle from 2011-2018. Framed and thematically curated by McElwain, these conversations present Midgley’s thoughts, reminiscences, and concerns on life and the topics for which she is best known, with special emphasis on her influential perspective on animals and the environment. Midgley’s witty and lively voice is emphasized throughout this accessbile book, engaging the reader with one of the more vibrant philosophers in living memory. (shrink)

The purpose of this article is to explore the close link between technology and death in the philosophical writings of Lewis Mumford. Mumford famously argued that throughout the history of western civilization we find intertwined two competing forms of technics; the democratic biotechnic form and the authoritarian monotechnic form. The former technics were said to be strongly compatible with an organic form of life while the latter were said to be allied to a mechanical power complex. What is perhaps less (...) well known is the extent to which Mumford characterizes the authoritarian technical form as being a technics of death. This article will argue that the connection between death and technics is a key theme in Mumford’s philosophy of technology. In addition to elaborating this theme and detailing how it informs Mumford’s other positions on the nature of technology, this article will also argue that Mumford’s theory of a technics of death bears witness, both implicitly and explicitly, to the influence of Sigmund Freud’s theory of the death instinct. Freud’s account of the death instinct will be outlined briefly and its influence on Mumford’s writings will be explained. Death, in Mumford’s technological writings, has a generally negative function and serves to warn humanity of the perilous course that its technological civilization is set upon. However it also has a positive function in that it encourages man to transcend its biological existence in acts of creativity and purpose. Death, in this positive sense, serves the purpose of life whereas, in the negative sense, it hinders it. The role of death, in both aspects, will be explored and related to Mumford’s overall perspective on technics and life. It is argued that Mumford’s philosophy of technology cannot be fully understood without an awareness of his views on death and its role in the life of technological society. (shrink)

The Nicomachean Ethics is generally thought to be a “dialectical” work, aimed at resolving aporia in a set of endoxa, which it takes as its starting-point. I argue that Aristotle’s aim in the treatise is, rather, to produce definitions of key ethical terms, and that his starting-points are limited to evaluative and discriminative judgments of a certain sort, which are demanded by the nature of the discipline and are not endoxa. I discuss also how the definitions are reached (focusing on (...) the cases of the virtues of character) and the roles that aporiai do play in the process. (shrink)

A guide for achieving an enlightened mind through the art of non-doing.

Exploring Aristotle's concept of logos, this volume advances our understanding of it as a singular feature of human nature by arguing that it is the organizing principle of human life itself. Tracing its multiple meanings in different contexts, including reason, logic, speech, ratio, account, and form, contributors highlight the ways in which we can see logos in human thinking, in the organizing principles of our bodies, in our perception of the world, in our social and political life, and through our (...) productive and fine arts. Through this focus, logos reveals itself not as one feature amongst others, but instead as the feature that organizes all others, from the most "animal" to the most "spiritual." By presenting logos in this way, readers gain a complex account of the philosophy of human nature. (shrink)

_Evolution and Human Culture_ surveys disciplines of evolutionary studies to posit that hominin evolved moral sentiments have been integral to the development of artistic culture.

This clear, learner-friendly text helps today's students bridge the gap between everyday culture and critical thinking. The text covers all the basics of critical thinking, beginning where students are, not where we think they should be. Its comprehensiveness allows instructors to tailor the material to their individual teaching styles, resulting in an exceptionally versatile text.

The thirteenth century mystic Ibn ʻArabi was the foremost Sufi theorist of the premodern era. For more than a century, Western scholars and esotericists have heralded his universalism, arguing that he saw all contemporaneous religions as equally valid. In Rethinking Ibn ʻArabi, Gregory Lipton calls this image into question and throws into relief how Ibn ʻArabi's discourse is inseparably intertwined with the absolutist vision of his own religious milieu-- that is, the triumphant claim that Islam fulfilled, superseded, and therefore (...) abrogated all previous revealed religions. Lipton juxtaposes Ibn ʻArabi's absolutist conception with the later reception of his ideas, exploring how they have been read, appropriated, and universalized within the reigning interpretive field of Perennial Philosophy in the study of Sufism. The contours that surface through this comparative analysis trace the discursive practices that inform Ibn ʻArabi's Western reception back to the eighteenth and nineteenth century study of 'authentic' religion, where European ethno-racial superiority was wielded against the Semitic Other - both Jewish and Muslim. Lipton argues that supersessionist models of exclusivism are buried under contemporary Western constructions of religious authenticity in ways that ironically mirror Ibn ʻArabi's medieval absolutism. (shrink)

This chapter contains sections titled: Cheerful Resignation Self‐Sufficiency Murphy was an Optimist: Negative Visualization Agency and Control Fate, Freedom, and Sailing.

This chapter contains sections titled: Classical Theories of Success Morris's 3‐D Approach to Life Lance Discovers His Positive Talents Lance Develops His Talents: Pre‐Cancer Lance Develops His Talents: Post‐Cancer Lance Deploys His Talents Notes.

This chapter focuses on one of the common fallacies in Western philosophy, appeal to ridicule. An appeal to ridicule is closely related to an ad hominem argument because both attack the person. There is a similarity between an appeal to ridicule and an appeal to emotion in that both attempt to bypass rational assessment of a point of view and elicit an emotional reaction from the audience. An appeal to ridicule may be an attempt to elicit humor at another's expense, (...) or it may be an attempt to elicit enmity, playing on the fears and prejudices of the group. The difference between a reductio ad absurdum and an appeal to ridicule is that the former uses good evidence while the latter does not. Perhaps the best way to avoid this fallacy is to cultivate an attitude of respect for other points of view. (shrink)

This chapter contains sections titled: Warning: Plot Spoiler! Mediums: The Seen and the Felt Competing Messages: “Man was in the Forest” vs. “There is Another” Challenging Bambi Bambi's Counter‐Charge Re‐gifting Bambi Notes.

The debate over the influence of American culture upon Europe and the rest of the world is hardly new. Discussions about the cultural effects of video recorders, satellite broadcasting, cable television and their likely content are only the latest episode in a long-running drama in which the young and aggressive culture of America bludgeons the elderly culture of old Europe (or correspondingly overruns and wipes out the quaint but ill-armed ethnic cultures of the less-developed world, dragging the natives from coconuts (...) to Coca-Cola in a generation of identity crisis). But though there has been much written about some aspects of this issue, and most non-Americans who have come into contact with American culture have some awareness of its dimensions, there is also much which remains unclear, and ill- or misunderstood. In this essay two aspects of this large and complex problem will be examined. Firstly, the problem of how the “Americanisation of world culture” has been understood until now will be outlined, by looking at its background in the mass culture critique of the 19th and 20th centuries, with some current notions of what American culture is, and some accounts of how it has been internationalized. My aim in this first section is in particular to try to isolate “American culture” from commercial and industrial culture more generally, for a conflation of these phenomena is widespread and very misleading. Secondly, a normative argument will be outlined from the premises that a “superculture” is indeed developing and that, though it is less threatening than many suspect, it requires a vital measure of resistance if many valuable elements of human experience are not to be relegated to anthropology museums. The central value which will be defended here, however, is not “Europeanism” or “Americanism”, but rather the central liberal virtue of diversity, of which cultural expression is an extremely important form. My attempt to develop a politics of cultural protectionism, then, represents a wish to surpass simplistic rejections of American culture and to come to terms with the confrontation of culture with industrial society itself. This involves going beyond the traditional discussion of culture in one country, however, and trying to extend the mass culture debate to the international arena, where the present debate on this problem is far more complex but often less sophisticated. (shrink)