v. 1. Sbornik stateĭ -- v. 2-3. Statʹi i issledovanii︠a︡.

We present some recent technical results of us on the incompleteness of classical analysis and then discuss our work on the Arnol'd decision problems for the stability of fixed points of dynamical systems.

We present some recent technical results of us on the incompleteness of classical analysis and then discuss our work on the Arnol'd decision problems for the stability of fixed points of dynamical systems.

Principia (Book 1, Sect. 6), Newton's Lemma 28 on the algebraic nonintegrability of ovals has had an unusually mixed reception. Beginning in 1691 with Jakob Bernoulli (who accepted the lemma) and Huygens and Leibniz (who rejected it and offered counterexamples), Lemma 28 has a history of eliciting seemingly contradictory reactions. In more recent times, D.T. Whiteside in 1974 gave an “unchallengeable counterexample,” while the mathematician V.I. Arnol'd in 1987 sided with Bernoulli and called Newton's argument an “astonishingly modern topological proof.” (...) This disagreement mostly stems, we argue, from Newton's vague statement of the lemma. Indeed, we identify several different interpretations of Lemma 28, any one of which Newton may have been intending to assert, and we then test a number of proposed counterexamples to see which, if any, are true counterexamples to one or more of these versions of the lemma. Following this, we study Newton's argument for the lemma to see whether and where it fails to be convincing. In the end, our study of Newton's Lemma 28 provides an answer to the question, Who is right: Huygens, Leibniz, Whiteside and the others who reject the lemma, or Bernoulli, Arnol'd, and the others who accept it? (shrink)

Ambivalence is a form of inner volitional conflict that we experience as being irresolvable without significant cost. Because of this, very few of us relish feelings of ambivalence. Yet for many in the Western philosophical tradition, ambivalence is not simply an unappealing experience that's hard to manage. According to Unificationists--whose view finds its historical roots in Plato and Augustine and is ably defended by contemporary philosophers such as Harry Frankfurt and Christine Korsgaard--ambivalence is a failure of well-functioning agency. The reasons (...) for this, we're told, are threefold. First, it precludes agents from resolving their wills in a way that is necessary for autonomy. Second, it precludes agents from fully affirming their live and, in particular, from fully affirming the choices they make. As a result, ambivalence robs them of an important source of meaning. Finally, ambivalence causes agents to act in self-defeating ways. In so doing, they act without integrity. Ambivalence is thus seen as a threat to a trio of important agential goods, and as a result, it imperils the best forms of human agency. -/- Against the Unificationists, D. Justin Coates argues that ambivalence does not preclude volitional resolution or normatively significant forms of affirmation. Nor does it guarantee self-defeat. Consequently, ambivalence as such is no threat to autonomy, meaning, or integrity. In assessing these arguments, ambivalence is also revealed to have an important role in securing the very goods that unificationists contend it undermines. The reason for this is that each of these goods requires the agent to be normatively competent. But normative competence itself, Coates argues, often leads agents to be ambivalent. The best forms of human agency are therefore shown to be not only compatible with ambivalence but as regularly requiring it. Ambivalence is thus not a volitional defect, but a crucial constituent of well-functioning agency. (shrink)

I temi della fede e della religione, e del loro conflitto con la cultura laica, sono da qualche tempo al centro di un interesse mediatico crescente, alimentato anche dalle polemiche politiche suscitate dal moltiplicarsi degli interventi e delle "scomuniche" del papa e della Conferenza Episcopale Italiana contro la modernità. Mancava fin qui, tuttavia, un testo di discussione, da punti di vista diversi e reciprocamente problematici, sulle ragioni dell'ateismo e della fede. Un confronto tra gli esponenti di tre posizioni ideologiche molto (...) lontane tra loro, accomunate però dal rifiuto di ogni appartenenza accademica: il cristianesimo nietzschiano del "pensiero debole" di Gianni Vattimo, la saggezza atea di una tradizione antica rilanciata da Michel Onfray e l'empirismo naturalistico-esistenziale della "filosofia del finito" di Paolo Flores d'Arcais. In questo insolito dialogo a tre voci emergono tutti gli interrogativi essenziali legati al problema, a partire da quello più generale: quali devono essere i rapporti tra filosofia e ateismo? L'"ipotesi Dio" deve ormai essere considerata superflua anche dalla riflessione filosofica, visto che le scienze ne fanno metodologicamente a meno? Quali sono le conseguenze etiche e politiche dell'essere atei o, all'opposto, credenti? (shrink)

Contributed papers on concept of False and Indivisibles (Philosophy) in Hindu philosophy presented at Seminar organized by Department of Advaita Vedanta, Rāṣṭrīyasaṃskr̥tavidyāpīṭham, Tirupati from December 31, 2005 to January 01, 2006).

Giuseppina D'Oro explores Collingwood's work in epistemology and metaphysics, uncovering his importance beyond his better known work in philosophy of history and aesthetics. This major contribution to our understanding of one of the most important figures in history of philosophy will be essential reading for scholars of Collingwood and all students of metaphysics and the history of philosophy.

This book brings together ten previously published essays on the philosophy of economics and economic methodology. The general theme is the application of Karl Popper's philosophy of science to economics -- not only by Popper himself but also by other members of the "Popperian school." There are three major issues that surface repeatedly: the applicability of Popper's falsificationist philosophy of science; the applicability of I. Lakatos's "methodology of scientific research programs" to economics; and the question of Popper's "situational analysis" approach (...) to social science. (shrink)

A substantial guide providing an overview of both physicalism and metaphysical naturalism, reviewing both questions of formulation and justification for both doctrines. Includes a diagnostic strategy for understanding talk of naturalism as a metaphysical thesis.

My making choices and acting on those choices in a way that might count as my being free would seem to require that those choices are truly my choices. Furthermore, for my choices to be truly mine, it would seem that these choices must reflect my true self. So it seems that choosing and acting freely depends in a robust sense on such choosing and acting being authentic. Yet the concept of authenticity seems problematic. What or where is that true (...) self which would be the basis for authentic choosing, acting and living? Perhaps there is no such true self. This problem is central to the philosophies of both Sartre and Foucault. For the philosophers freedom authenticity or self-hood were central. The paper aims to show that, in spite of Foucault’s criticism, Sartre does not fall back on the idea of a true or deep self that is given to us. Sartre can appeal to the idea of authenticity without holding on such a dubious construct as a given, true self. Therefore the exploration of bad faith, good faith and authenticity in Sartre’s Being and Nothingness, where the problem is posed but left unresolved, is necessary. Sartre’s Anti-Semite and Jew, where a more concrete problem – the problem of authentically identifying oneself with a group of human beings − actually opens up a way how to overcome the problem of authenticity. (shrink)

INTRODUCTION If there is one underlying implication in the following essays it is the inadequacy of the information-processing model for cognitive ...

One problem that students of cognitive science are likely to encounter in their examination of the literature on bounded rationality is that of finding a succinct formulation of the relevant boundedness claim in the first place. In this chapter I provided such a formulation, before going on to locate the debate about bounded rationality against the background of competing pictures of cognitive virtue. I also consider a reason for pause about the the bounded rationality claim, viz. that it commits us (...) to a troubling form of "cognitive luck.". (shrink)

Introduction to healthcare ethics committees / D. Micah Hester and Toby Schonfeld -- Brief introduction to ethics and ethical theory / D. Micah Hester and Toby Schonfeld -- Ethics committees and the law / Stephen Latham -- Cultural and ...

A tribute, originally given at David Armstrong's retirement in 1991 as Challis Professor of Philosophy at Sydney University. Stove recalls Armstrong's role in the "Sydney disturbances" of the 1970s when under attack from Marxists.

F. H. Bradley: Logic Although the logical system expounded by F. H. Bradley in The Principles of Logic is now almost forgotten, it had many virtues. To appreciate them, it is helpful to understand that Bradley had a very different view of logic from that prevalent today. He is hostile to the idea of … Continue reading Bradley, F. H.: Logic →.