A proposal by Baron, Colyvan, and Ripley to extend the counterfactual theory of explanation to include counterfactual reasoning about mathematical explanations of physical facts is discussed. Their suggestion is that the explanatory role of mathematics can best be captured counterfactually. This paper focuses on their example with a number-theoretic antecedent. Incorporating discussions on the structure and de re knowledge of numbers, it is argued that the approach leads to a change in the structure of numbers. As a result, the counterfactual (...) is not about the natural numbers anymore. Linking the antecedent and consequent of the counterfactual also becomes problematic. (shrink)

Within the context of the Quine–Putnam indispensability argument, one discussion about the status of mathematics is concerned with the ‘Enhanced Indispensability Argument’, which makes explicit in what way mathematics is supposed to be indispensable in science, namely explanatory. If there are genuine mathematical explanations of empirical phenomena, an argument for mathematical platonism could be extracted by using inference to the best explanation. The best explanation of the primeness of the life cycles of Periodical Cicadas is genuinely mathematical, according to Baker (...) :223–238, 2005; Br J Philos Sci 60:611–633, 2009). Furthermore, the result is then also used to strengthen the platonist position :779–793, 2017a). We pick up the circularity problem brought up by Leng Mathematical reasoning, heuristics and the development of mathematics, King’s College Publications, London, pp 167–189, 2005) and Bangu :13–20, 2008). We will argue that Baker’s attempt to solve this problem fails, if Hume’s Principle is analytic. We will also provide the opponent of the Enhanced Indispensability Argument with the so-called ‘interpretability strategy’, which can be used to come up with alternative explanations in case Hume’s Principle is non-analytic. (shrink)

Addressing the issue of how to read Nietzsche, this book presents an accessible series of essays for students and general readers on Nietzsche's individual works, written by such distinguished Nietzsche scholars as Frithjof Bergmann, Arthur Danto, Bernd Magnus, Christopher Middleton, Eric Blondel, Lars Gustaffson, Alexander Nehamas, Richard Schacht, Gary Shapiro, Hugh Silverman, and Ivan Soll. Among the works discussed are On the Genealogy of Morals, Beyond Good and Evil, Thus Spoke Zarathustra, Twilight of the Idols and The Will (...) to Power. (shrink)

The aim of this article is to contribute to responsible innovation by developing a conceptual framework for the processes of creativity and innovation. The hypothesis is that creative and innovative processes are similar in that both are affective in nature. I develop this conceptual framework through an interpretation of the insights of Henri Poincaré’s notion of the ‘four stages’ in the creative process and Joseph Schumpeter’s notion of the entrepreneur. Building on this framework, I analyze the creative and innovative practices (...) of the film director Lars von Trier and the entrepreneur Steve Jobs. The interpretation and analysis suggest that the processes of creativity and innovation are similar in nature in that both are based on the moods of disturbance and enthusiasm; but that they differ in that creativity is based on the feelings of interest and irritation, whereas innovation is based on the feelings of desire and anger. In the conclusion I discuss the implications of this for responsible innovation with regard to the social aspect of resistance towards innovation and the ethical aspects of anger in entrepreneurial leadership. (shrink)

In a quarter century of commentary on the theater, Miller discusses the roots of drama, the nature of tragedy, his own work, and the American theater as an institution and a cultural force.

A discussion on antiquity with Anthony A. Long, one of the most distinguished scholars in the field of ancient philosophy, would be engaging in any case. All the more so, since his two recently published works, Greek Models of Mind and Self and How to be Free: An Ancient Guide to the Stoic Life, provide the opportunity to revisit key issues of ancient philosophy. The former is a lively and challenging work that starts with the Homeric notions of selfhood, and (...) leads the reader all the way through classical and Hellenistic philosophical psychology; the latter is a profound analysis of the Stoic ethics that focuses in particular on its foundation and principles, followed by Long’s re-worked translation of Epictetus’ Encheiridion and carefully selected parts of his Discourses. Anthony Long kindly accepted the invitation to discuss several issues that are in the core of scholarly concern, sharing interpretations and thoughts that originate from his long acquaintance with the ancient literary tradition. (shrink)

Arthur C. Danto is the Johnsonian Professor Emeritus of Philosophy at Columbia University and the most influential philosopher of art in the last half-century. As an art critic for the Nation and frequent contributor to other widely read outlets such as the New York Review of Books, Danto also has become one of the most respected public intellectuals of his generation. He is the author of some two dozen important books, along with hundreds of articles and reviews that have (...) been the center of both controversy and discussion. In this volume Danto offers his intellectual autobiography and responds to essays by 27 of the keenest critics of his thought from the worlds of philosophy and the arts. (shrink)

As composer Richard Wagner noted, with Schopenhauer one may finally give voice to the secretly held belief that the world is bad. This blunt honesty was Schopenhauer's trademark. Perhaps no philosopher equaled him in relatinf metaphysical speculation to the seemingly random events of everyday life. This volume includes " On Thinking for Oneself," "On the Affirmation of the Will-to-Live," "On Suicide," "The World as Will: Second Aspect," "On the Fundamental View of Idealism," "On the Metaphysics of Music," "The Foundation of (...) Ethics," and other essential writings. (shrink)

Most of us, at one time or another, will have been struck by a thought that we might wish to express in the following words: ‘I could have been born in a different time and place, my position in life and all my personal characteristics could have been completely different from what they are; how amazing then that it should have fallen to my lot to live my life, the only life I shall ever live, as this particular individual rather (...) than any other.’ This thought need not derive from a sense that there is anything unusual about one's life; what it expresses, rather, may be the sense that there is something gratuitous or contingent about one's being any particular individual at all. This sense of contingency might be connected with a feeling of gratitude, perhaps of responsibility towards others less fortunate in life; or it might be bound up with envy, or pride, or self-pity, etc. (shrink)

This edition includes an Introduction by David Cartwright, a translator’s preface, biographical note, selected bibliography, and an index.

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 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 has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and (...) made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)