It is widely agreed by philosophers that the so-called “Frege-Russell definition of natural number” is actually an assertion concerning the nature of the numbers and that it cannot be regarded as a definition in the ordinary mathematical sense. On the basis of the reasoning in this paper it is clear that the Frege-Russell definition contradicts the following three principles (taken together): (1) each number is the same entity in each possible world, (2) each number exists in each possible world, (3) (...) some entities existing in the actual world do not exist in every possible world. Since these principles seem to be true, the paper is a refutation of the Frege-Russell definition. The paper does more. It shows that the contradictory of the Frege-Russell definition follows even when principles 2 and 3 are replaced by one considerably weaker principle. The ideas contained in the paper are related to two earlier objections to the definition. The first, sometimes attributed to the mathematician, C. S. Keyser, is that existence of the numbers as defined implies the existence of infinitely many particulars in each possible world. The second is, in effect, an idea which is said to have led Whitehead to reject the definition of number to which he had subscribed in Principia Mathematica. Whitehead is supposed to have said that he could not believe that the number two changes every “time twins are born”. The mathematician H. Jeffreys expressed similar ideas [Philos. of Sci. 5 (1938), 434–451]. One of the merits of the author’s work is that it refutes the Frege-Russell definition without the need to take sides on controversial points presupposed by the Keyser and Whitehead objections. The objections made by the author are therefore not to be identified with the Keyser and Whitehead objections. Even if the author’s work is to be regarded as a refinement and integration of previous ideas, it is nevertheless a contribution—not only because the basic points are well worth repeating but also because the refinements are logically significant improvements and because the author has stated them clearly and concisely in the idiom of contemporary philosophy. (shrink)

Peter H. Hare (1935-2008) developed informed, original views about the proposition: some published (Hare 1969 and Hare-Madden 1975); some expressed in conversations at scores of meetings of the Buffalo Logic Colloquium and at dinners following. The published views were expository and critical responses to publications by Curt J. Ducasse (1881-1969), a well-known presence in American logic, a founder of the Association for Symbolic Logic and its President for one term.1Hare was already prominent in the University of Buffalo's Philosophy Department in (...) 1969 when I was appointed. Soon after, he became Chair. As his Associate Chair from 1971to 1975, I spent many hours with him in Buffalo and on professional trips .. (shrink)

Excerpts and paraphrases of this memoir appeared in 2008 and 2009. I posted it in full here in happy memory of Peter Hare and my joyful years with him. -/- 2008. Remembering Peter Hare 1935–2008. Philosophy Now. Co-authors: T. Madigan and A. Razin. Issue 66 March/April 2008. Pages 50–2. PDF -/- 2009. Remembering My Life with Peter Hare. Remembering Peter Hare 1935–2008. Ed. J. Campbell. Society for the Advancement of American Philosophy. pp. 9–16. http://american-philosophy.org/documents/RememberingPeterHare_final.pdf -/- Peter H. Hare, Distinguished Professor (...) Emeritus of Philosophy at the University of Buffalo (SUNY at Buffalo), died peacefully in his sleep on Thursday, January 3, 2008. I would like to share my memories of my life with him. Others have eulogized him, enumerated his virtues and accomplishments, and written his obituaries. I am revisiting my personal relationship with him. These memories are as much about me as about him. (shrink)

This paper combines personal reminiscences of the philosopher John Corcoran with a discussion of certain conflicts between historians of logic and philosophers of logic. Some mistaken claims about the history of the Bolzano-Weierstrass Theorem are analyzed in detail and corrected.

Volume 19 of _The Annual of Psychoanalysis_ turns to the ever-intriguing relationship between "Psychoanalysis and Art." This introductory section begins with Donald Kuspit's scholarly reflections on the role of analysis in visual art and art criticism, and then proceeds to a series of topical studies on Freud and art introduced by Harry Trosman. Egyptologist Lorelei Corcoran explores the Egypt of Freud's imagination, thereby illuminating our understanding of the archaeological metaphor. Marion Tolpin offers new insights into Freud's analysis of (...) the American writer Hilda Doolittle by focusing on the meaning of the Goddess Athene - whose statue rested on Freud's desk - to both analyst and analysand. Stephen Toulmin examines Freud's artistic sensibility - and places the historical significance of Freud's art collection in bold relief - by looking at the many contemporary art objects Freud chose _not_ to collect. Danielle Knafo identifies key events in the early life of Austrian Expressionist Egon Schiele that were "primary determinants" of the content and form of his self-portraits. And Barbara Almond examines the spontaneous healing process depicted in Margaret Drabble's novel _The Needle's Eye _as an analogue to the kind of growth and development mobilized by the psychoanalytic process. Section II, "Psychoanalysis and Development," begins with Barbara Fajardo's appreciation of the contribution of biology to analyzability; she reviews findings from both infant research and biogenetic research that tend toward an understanding of "constitution" as resilience in development and, subsequently, in treatment. Benjamin Garber adds to the psychoanalytic understanding of childhood learning disabilities by presenting the three-and-a-half-year analysis of a learning-disabled child. In a fascinating two-part contribution, "Bridging the Chasm Between Developmental Theory and Clinical Theory," Joseph Palombo sheds light on some of the knottiest problems in contemporary analysis, including the relationship between childhood events and the reconstruction of those events in treatment. In Section III, "Psychoanalysis and Empathy," Mary Newsome presents case material in support of her claim that the analyst's empathic understanding catalyzes the coalescence of the patient's affect and aim, that is, the patient's capacity to believe in and then realize his ambitions. The acquisition of the capacity, she contends, not only betokens a specific kind of structure formation, but is the bedrock of emerging self-cohesion. Her challenging paper is thoughtfully discussed by David Terman and Jerome Winer. Section IV of _The Annual_ offers Jerome Kavka's appreciation of the work of N. Lionel Blitzsten. Blitzsten, the first Chicago psychoanalyst and one of America's most gifted clinicians and teachers, anticipated modern concepts of narcissism in identifying "narcissistic neuroses" with special treatment requirements. Morris Sklansky furthers our understanding of Blitzsten in his discussion of Kavka's essay. Ranging across the analytic canvas with presentations as edifying as they are provocative, volume 19 of _The Annual of Psychoanalysis_ challenges readers to wrestle with issues at the cutting edge of the discipline. It takes a well-deserved place in the preeminent continuing series in the field. (shrink)

An English language translation accompanies the original Greek text of Aristotle's book about the nature of the state, constitutions, revolutions, democracy, and oligarchy.

Within the Husserlian phenomenological philosophical tradition, description and interpretation co-exist. However, teaching the practice of phenomenological psychological research requires careful articulation of the differences between a descriptive and an interpretive relationship to what is provided by qualitative data. If as researchers we neglect the epistemological foundations of our work or avoid working through difficult methodological issues, then our work invites dismissal as inadequate science, undermining the effort to strongly establish psychology along qualitative lines. The first article in this two-part discussion (...) provides a Husserlian investigation of the meaning of ‘method’ for psychology as a human science. This investigation is undertaken in the light of some researchers’ appropriations of Gadamer’s philosophical hermeneutics in the service of non-methodical praxes. The second article will address some implications of the attempt to structure qualitative psychological research along ‘Gadamerian’ lines, taking seriously the references to Gadamer’s work made by researchers such as Van Manen and Smith. Indo-Pacific Journal of Phenomenology , Volume 11, Edition 1 May 2011, 69-85. (shrink)

Man (Islam); Islamic philosophy; Islamic ethics.

Philosophy; philosophical theology; philosophical anthropology; history.

al-majmūʻah 1. Kayfa naʻmal lil-Islām -- Muqawwimāt shakhṣīyat al-Muslim -- al-Tawāzun wa-al-iʻtidāl fī ḥayāt al-Muslim.

The book called 'The Consolation of Philosophy' was throughout the Middle Ages, and down to the beginnings of the modern epoch in the sixteenth century, the scholar's familiar companion. Few books have exercised a wider influence in their time. It has been translated into every European tongue, and into English nearly a dozen times, from King Alfred's paraphrase to the translations of Lord Preston, Causton, Ridpath, and Duncan, in the eighteenth century.

Healing Emotions is the record of an extraordinary series of encounters between the Dalai Lama and prominent Western psychologists, physicians, and meditation teachers that sheds new light on the mind-body connection. Edited by Pulitzer Prize nominee and best-selling author Daniel Goleman.

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)

Collected sayings of Muslim Caliphs and saints.