The small, the tiny, and the infinitesimal have been the object of both fascination and vilification for millenia. One of the most vitriolic reviews in mathematics was that written by Errett Bishop about Keisler’s book Elementary Calculus: an Infinitesimal Approach. In this skit we investigate both the argument itself, and some of its roots in Bishop George Berkeley’s criticism of Leibnizian and Newtonian Calculus. We also explore some of the consequences to students for whom the infinitesimal approach is congenial. The (...) casual mathematical reader may be satisfied to read the text of the five act play, whereas the others may wish to delve into the 130 footnotes, some of which contain elucidation of the mathematics or comments on the history. (shrink)

Language for God explores the ways language and images influence who we are and how we live. It declares the necessity of language and images for God that are expansive and inclusive of all genders. Lutheran perspectives are used as a compass to offer scriptural, theological, and historical insights to advance the reformation of Christian language.

One hundred years after Gestalt views first took hold our understanding of how perceptual processes organize the visual field into objects and their local backgrounds has progressed substantially. We now know that in addition to the image-based properties that the Gestalt psychologists identified as relevant, a myriad of other image-based factors influence figure–ground organization, as do subjective factors such as past experience, attention, and intentions. Moreover, properties of grounds as well as properties of figures play a role. The recent use (...) of indirect measures and brain imaging techniques has revealed that there is much more processing of the regions ultimately perceived as grounds than is supposed in traditional approaches, and that competition and feedback are involved in figure–ground organization. These recent advances offer great promise for uncovering the mechanisms that organize the visual field into figures and grounds. (shrink)

I. Immanuel Kant claims that the existence of God cannot be proved by speculative theology, yet that speculative theology is the only means by which the existence of God can definitively be proved. All knowledge, Kant argues, including that of God’s existence, must be based on the forms of possible experience or deduced from premises known to be true: in the case of the existence of God, however, the former is impossible because God transcends experience, and the latter is impossible (...) because the premises themselves, to be known to be true, would have to be grounded in possible experience, while, by the very nature of the question, possible experience has been excluded. Thus, the existence of God cannot be known in the usual sense, that is, by means of the theoretical employment of reason. (shrink)

The distinction of fact and value and the problems entailed by it are concerns only for modern, Western thought. The distinction is supported by Kant, who, however, also attempts to solve its consequent problems. His first attempt is made by arguing that the standard of value is itself a fact. This brings fact and value together, but only in an intelligible world. Kant's second attempt is found in the third Critique in the argument that man, as both rational and animal, (...) must view the world in teleological terms; so doing advances the task of science, finds support in objects of natural beauty, and leads to the creation of beauty in art. Thus, ultimately, the highest complete good, a world under moral laws is itself seen as in fact really possible as the final goal of human creative artistic activity. (shrink)

Admirers of Whitehead who know him best have suggested that Wordsworth had possibly a greater influence upon him than anyone except Plato. Nowhere apparently has Whitehead admitted such an influence, as he has that of Plato and Locke and that of William James, Bergson, and Alexander among traditional and contemporary philosophers But he had a predilection for poetry, and attributes to the great poets philosophical importance. They capture uniquely, he says, “a fragrance of experience”; and “… express deep intuitions of (...) mankind penetrating into what is universal in concrete fact.” As observers of nature both Wordsworth and Whitehead ascribed to animate and inanimate life a degree of feeling or satisfaction in the course of being and becoming. Like the poet, Whitehead must have found “joy in widest commonalty spread.” The multiplication table, he noted at one time, “… is no good to the realist. It shuts him up with Plato's ideas out of space and out of time” when “… like Wordsworth and the rest of us he wants to hear the throstle sing.”. (shrink)

As professionals, nurses are engaged in a moral endeavour, and thus confront many challenges in making the right decision and taking the right action. When nurses cannot do what they think is right, they experience moral distress that leaves a moral residue. This article proposes a theory of moral distress and a research agenda to develop a better understanding of moral distress, how to prevent it, and, when it cannot be prevented, how to manage it.

. Although the courts have ruled that companies are legal persons, they have not yet made clear the extent to which political free speech for corporations is limited by the strictures legitimately placed upon corporate commercial speech. I explore the question of whether or not companies can properly be said to have the right to civil free speech or whether corporate speech is always de facto commercial speech not subject to the same sorts of legal protections as is the right (...) to civil free speech. In the absence of clearly defined legal precedent, I emphasize moral reasons for determining the appropriate limits of corporate civil free speech. Appealing to arguments typically used to justify individual rights to civil free speech, I examine the extent to which this sort of justification may or may not be legitimately extended to corporations. I conclude that corporate rights to civil free speech must be restricted because granting rights of free speech to institutions may, in practice, undermine the moral rationale and practical feasibility of guaranteeing rights of civil free speech to individuals. Furthermore, I argue that granting corporations full rights to civil free speech will undercut attempts to develop good moral character in corporate institutions by undermining the efforts of watchdog organizations. (shrink)

We present a comprehensive model that integrates virtues, values, character strengths and ethical decision making (EDM). We describe how a largely consequentialist ethical framework has dominated most EDM scholarship to date. We suggest that reintroducing a virtue ethical perspective to existing EDM theories can help to illustrate deficiencies in existing decision-making models, and suggest that character strengths and motivational values can serve as natural bridges that link a virtue framework to EDM in organizations. In conjunction with the more fully formulated (...) extant research on situational determinants, we present and discuss our model that introduces a virtue based orientation to EDM. (shrink)

Is philosophy like plumbing? I have made this comparison a number of times when I have wanted to stress that philosophising is not just grand and elegant and difficult, but is also needed. It is not optional. The idea has caused mild surprise, and has sometimes been thought rather undignified. The question of dignity is a very interesting one, and I shall come back to it at the end of this article. But first, I would like to work the comparison (...) out a bit more fully. (shrink)

This 1997 book was the first English translation of all of Kant's writings on moral and political philosophy collected in a single volume. No other collection competes with the comprehensiveness of this one. As well as Kant's most famous moral and political writings, the Groundwork of the Metaphysics of Morals, the Critique of Practical Reason, the Metaphysics of Morals, and Toward Perpetual Peace, the volume includes shorter essays and reviews, some of which have never been translated before. The volume has (...) been furnished with a substantial editorial apparatus including translator's introductions and explanatory notes to each text by Mary Gregor, and a general introduction to Kant's moral and political philosophy by Allen Wood. There is also an English-German and German-English glossary of key terms. (shrink)

This 1997 book was the first English translation of all of Kant's writings on moral and political philosophy collected in a single volume. No other collection competes with the comprehensiveness of this one. As well as Kant's most famous moral and political writings, the Groundwork of the Metaphysics of Morals, the Critique of Practical Reason, the Metaphysics of Morals, and Toward Perpetual Peace, the volume includes shorter essays and reviews, some of which have never been translated before. The volume has (...) been furnished with a substantial editorial apparatus including translator's introductions and explanatory notes to each text by Mary Gregor, and a general introduction to Kant's moral and political philosophy by Allen Wood. There is also an English-German and German-English glossary of key terms. (shrink)

Catharine MacKinnon claims that pornography silences women in a way that violates the right to free speech. This claim is, of course, controversial, but if it is correct, then the very free speech reasons for protecting pornography appear also to afford reason to restrict it. For this reason, it has gained considerable attention. The philosophical literature thus far focuses on a type of silencing identified and analyzed by Jennifer Hornsby and Rae Langton (H&L). This article identifies, analyzes, and argues for (...) the importance of a different type of silencing. As we shall see, there are compelling reasons in favor of regarding H&L silencing as a free speech violation and, as I argue here, the same can be said for sincerity silencing. Although additional work needs to be done to show that either one actually is a free speech violation, I demonstrate here that both types of silencing equally warrant this further attention. Moreover, I show that sincerity silencing is a fairly widespread phenomenon; so, therefore, is the harm it constitutes. As a result of these considerations, then, we can safely conclude that sincerity silencing also requires our attention. (shrink)

This article explores the characteristics of research sites that scientists have called “natural experiments” to understand and develop usable distinctions for the social sciences between “Nature’s or Society’s experiments” and “natural experiments.” In this analysis, natural experiments emerge as the retro-fitting by social scientists of events that have happened in the social world into the traditional forms of field or randomized trial experiments. By contrast, “Society’s experiments” figure as events in the world that happen in circumstances that are already sufficiently (...) “controlled” to be open for direct analysis without reconstruction work. (shrink)

This book explores a fundamental tension in Aristotle's metaphysics: how can an entity such as a living organisma composite generated through the imposition of form on preexisting matterhave the conceptual unity that Aristotle demands of primary substances? Mary Louise Gill bases her treatment of the problem of unity, and of Aristotle's solution, on a fresh interpretation of the relation between matter and form. Challenging the traditional understanding of Aristotelian matter, she argues that material substances are subverted by matter and (...) maintained by form that controls the matter to serve a positive end. The unity of material substances thus involves a dynamic relation between resistant materials and directive ends. Aristotle on Substance offers both a general account of matter, form, and substantial unity and a specific assessment of particular Aristotelian arguments. At every point, Gill engages Aristotle on his own philosophical ground through the detailed analysis of central, and often controversial, texts from the Metaphysics, Physics, On Generation and Corruption, De Anima, De Caelo, and the biological works. The result is a coherent, firmly grounded rethinking of Aristotle's central metaphysical concepts and of his struggle toward a fully consistent theory of material substances. (shrink)

Published in 1785, Immanuel Kant's Groundwork of the Metaphysics of Morals ranks alongside Plato's Republic and Aristotle's Nicomachean Ethics as one of the most profound and influential works in moral philosophy ever written. In Kant's own words, its aim is to identify and corroborate the supreme principle of morality, the categorical imperative. He argues that human beings are ends in themselves, never to be used by anyone merely as a means, and that universal and unconditional obligations must be understood as (...) an expression of the human capacity for autonomy and self-governance. As such, they are laws of freedom. This volume contains Mary Gregor's acclaimed translation of the text into English, revised by Jens Timmermann, and an accessible, updated introduction by Christine Korsgaard. (shrink)

This book constitutes the first volume of a projected two-volume intellectual biography of Auguste Comte, the founder of modern sociology and a philosophical movement called positivism. Volume One offers a reinterpretation of Comte's "first career," (1798-1842) when he completed the scientific foundation of his philosophy. It describes the interplay between Comte's ideas and the historical context of postrevolutionary France, his struggles with poverty and mental illness, and his volatile relationships with friends, family, and colleagues, including such famous contemporaries as Saint-Simon, (...) the Saint-Simonians, Guizot, and John Stuart Mill. Pickering shows that the man who called for a new social philosophy based on the sciences was not only ill at ease in the most basic human relationships, but also profoundly questioned the ability of the purely scientific spirit to regenerate the political and social world. (shrink)

The current picture of the history of taxonomy incorporates A. J. Cain's claim that Linnaeus strove to apply the logical method of definition taught by medieval followers of Aristotle. Cain's argument does not stand up to critical examination. Contrary to some published statements, there is no evidence that Linnaeus ever studied logic. His use of the words “genus” and “species” ruined the meaning they had in logic, and “essential” meant to him merely “taxonomically useful.” The essentialism story, a narrative that (...) has most pre-Darwinian biologists steeped in the world view of Plato and Aristotle, is ill-founded and improbable. (shrink)

D.T. Suzuki. A Biography. A. Irwin Switzer III. Edited and enlarged by John Snelling. The Buddhist Society, London 1985. 63 pp. I11.