This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas (...) of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal. (shrink)

Some seeming logical deficiencies in a recent paper are described. The author responds to the arguments of the work by de Muynck, De Baere, and Martens , who argue it is widely accepted today that some sort of nonlocal effect is needed to resolve the problems raised by the works of Einstein, Podolsky, and Rosen and John Bell. In MBM a variety of arguments are set forth that aim to invalidate the existing purported proofs of nonlocality and to (...) provide, moreover, a local solution to the problems uncovered by EPR and Bell. Much of the argumentation in MBM is based on the idea of introducing `nonideal` measurements, which, according to MBM, allow one to construct joint probability distributions for incompatible observables. The existence of a bona fide joint probability distribution for the incompatible observables occurring in the EPRB experiments would entail that Bell`s inequalities can be satisfied, and hence that the mathematical basis for the nonlocal effects would disappear. This relult would apparently allow one to eliminate the need for nonlocal effects by considering experiments of this new kind. (shrink)

Much as we would like to conceive empirical thought as rationally grounded in experience, pitfalls await anyone who tries to articulate this position, and ...

Written over the last two decades, John McDowell's papers, as a whole, deal with issues of philosophy. Specifically, separate groups of essays look at the ethical writings of Aristotle and Plato; moral questions regarding the Greek tradition; interpretations of Wittgenstein's work; and, finally, questions about personal identity and the character of first-person thought and speech.

As he practices this method, what emerges through the volume is the unity of McDowell’s own views.

In this new book, John McDowell builds on his much discussed Mind and World—one of the most highly regarded books in contemporary philosophy.

John Henry Newman was a theologian and vicar at the university church in Oxford who became a leading thinker in the Oxford Movement, which sought to return Anglicanism to its Catholic roots. Newman converted to Catholicism in 1845 and became a cardinal in 1879. He published widely during his lifetime; his work included novels, poetry and the famous hymn 'Lead, Kindly Light', but he is most esteemed for his sermons and works of religious thought. This volume, first published (...) in 1870, is an ambitious examination of the logical processes that underpin religious faith. Newman discusses how it is possible to believe what cannot be proven empirically, and postulates that the mind has the facility to bridge the logic gap to allow for humans to believe in things that they do not fully comprehend. A lucid and masterful work which remains relevant to contemporary discussions of faith. (shrink)

Much as we would like to conceive empirical thought as rationally grounded in experience, pitfalls await anyone who tries to articulate this position, and ...

This is the second volume of John McDowell's selected papers.

The religious autobiography of John Henry Newman (1801-1890), in which he discusses his conversion to Roman Catholicism.

v. 1. General introduction to the study of Newman's philosophy.--v. 2. The text.

Genetic testing has historically been performed in the context of chronic disease and cancer diagnostics. The timelines for these tests are typically measured in days or weeks, rather than in minutes. As such, the concept that genetic information might be generated and then used to alter management in the acute setting has, thus far, not been feasible. However, recent advances in genetic technologies have the potential to allow genetic information to be generated significantly quicker. The m.1555A>G genetic variant is present (...) in one in 500 individuals and predisposes to profound hearing loss following the administration of aminoglycoside antibiotics. These antibiotics are used frequently in cases of neonatal sepsis and it is estimated that approximately 180 neonates in the UK are at risk of antibiotic induced hearing loss each year because of this genetic change. Knowledge of this variant in the acute setting would allow clinicians to prescribe alternative antibiotics. The Pharmacogenetics to Avoid Loss of Hearing study will implement a genetic point of care test for the m.1555A>G variant within two major UK based neonatal intensive care units. This represents the first trial of a genetic POCT aimed at altering management in the acute setting. This round table discussion outlines the novel ethical issues faced in the development of this trial and the legal barriers to implementation. We ask five stakeholders to provide their opinions on this trial and their perspectives on the concept of genetic testing in the acute setting.Trial registration numberISRCTN-13704894. (shrink)

Very few biographies of Kant exist. The Neo-Kantian movement renewed interest in his life. During the last half of the 19th century, John Henry Wilbrandt Stuckenberg provided an eminently readable biography of Kant, as seen from a sympathetic, yet detached viewpoint.

" John McDowell is one of the most influential philosophers writing today. His work, ranging from interpretations of Plato and Aristotle to Davidsonian semantics, from ethics to epistemology and the philosophy of mind, has set the agenda for many recent philosophical debates. This volume contains the proceedings of the third Münsteraner Vorlesungen zur Philosophie which McDowell delivered in 1999: A lecture, entitled ""Experiencing the World"", introduces into the set of ideas McDowell developed in his groundbreaking book Mind and World. (...) The lecture is followed by ten brief essays, both interpretative and critical, in which students and faculty from the Department of Philosophy at the University of Münster discuss various aspects of McDowell's philosophy. The volume ends with responses by John McDowell. ". (shrink)

Though physicalism remains the most popular position in the metaphysics of mind today, there is still considerable debate over how to retain a plausible account of mental concepts consistently with a physicalistic world view. Philip Goff (Australasian Journal of Philosophy 89(2), 191–209, 2011) has recently argued that physicalism cannot give a plausible account of our phenomenal concepts, and that as such, physicalism should be rejected. In this paper I hope to do three things, firstly I shall use some considerations from (...) ontology to rebut Goff’s argument and consider some objections and replies. Secondly, I shall outline a version of a posteriori physicalism about phenomenal consciousness which draws on this particular ontology. Thirdly, I shall give support to this version of physicalism by arguing that it marries well with prominent theories in cognitive science, and has important advantages over other versions of a posteriori physicalism. (shrink)

Throughout his career as a theologian, deacon, priest and cardinal, John Henry Newman remained a committed believer in the value of education. A graduate of Trinity College, Oxford, his own academic experiences shaped his friendships, politics and faith. His Discourses, delivered initially as a series of lectures when he was rector of the newly-established Catholic University of Ireland, inspired a generation of young and talented Catholic scholars. Providing an intelligent but accessible analysis of the relationship between theology and (...) other academic disciplines, the lectures were celebrated in the popular press for dispensing instruction to those who 'had no traditions to guide them in forming a correct estimate of what a university ought to be'. Newman argued that a university should foster the 'diffusion and extension of knowledge' rather than religious or moral training, and that it should prepare students for life in the world. (shrink)

Normal 0 false false false MicrosoftInternetExplorer4 st1:*{behavior:url(#ieooui) } /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} One of the most celebrated biologists of the past century, Edward O. Wilson has received virtually every scientific award and recognition for his provocative and innovative enquiry into the nature of the relationship between moral behavior and biology which the scientific community can offer. For over twenty-five years, (...) his development of a field of study at Harvard University called sociobiology and the analytical concept he created called conscilience have revolutionized our thinking about ethics and human behavior. Exploring the interrelatedness of the chemistry of the mind and the genetic bases of culture, he has challenged the philosophical, theological, and sociological world to embrace a creatively converging view of science and ethics, of biology and human behavior. This essay is a critical review of Wilson’s major works written during the past three decades which have caused both international exuberance among scientists and an exclamation of outrage among many in the philosophical and theological world. This is the first comprehensive review and critical assessment of his major works. (shrink)

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

The essays in this volume were written when John Henry Newman was a Fellow of Oriel College, Oxford. He wrote the first, on biblical miracles "The Miracles of Scripture," in 1825-26, as a relatively young man; the other, "The Miracles of Early Ecclesiastical History," was written in 1842-43. A comparison of the two essays displays a shift in Newman's theological stances. In the earlier essay, Newman argues in accordance with the theology of evidence of his time, maintaining that (...) the age of miracles was limited to those recorded in the Old Testament scriptures and in the Gospels and Acts. He asserts that biblical miracles served to demonstrate the divine inspiration of biblical revelation and to attest to the divinity of Christ. However, with the end of the apostolic age, the age of miracles came to an end; miracles reported from the early ages of the Church Newman dismissed as suspicious and possibly fraudulent. With this view, Newman entered into an ongoing debate between the skepticism of Hume and Paine and its continuation in the utilitarianism of Bentham, on the one hand, and the views of Christian apologists rebutting Hume's arguments, on the other. In "The Miracles of Early Ecclesiastical History," Newman can be seen as coming closer to accepting the doctrines of the Catholic Church. He rejects the stance he took in "The Miracles of Scripture," now arguing for a continuity of sacred history between the biblical and ecclesiastical periods. He had clearly abandoned the position of "evidence theologians" that miracles ended after the time of the Apostles. Newman's movement between the writing of the two essays is essentially a growing into a deeper awareness of the Church as a divine society in whose life miracles and supernatural gifts were to be expected. (shrink)

This classic of Christian apologetics seeks to persuade the skeptic that there are good reasons to believe in God even though it si impossible to understand the Deity fully. First written over a century ago, the _Grammar of Assent _speaks as powerfully to us today as it did to its first readers. Because of the informal, non-technical character of Newman's work, it still retains its immediacy as an invaluable guide to the nature of religious belief. An introduction by Nicholas Lash (...) reviews the background of the _Grammar, _highlights its principal themes, and evaluates its philosophical originality. (shrink)

This insightful selection, features four discourses from The Idea of a University: Knowledge Its Own End; Knowledge Viewed in Relation to Learning; Knowledge Viewed in Relation to Professional Skill; and Knowledge Viewed in Relation to Religion. Also included are excerpts from the "Preface" and the following appendices: Discipline of Mind; Literature and Science; and Style. Edited by Leo L. Ward, this volume also contains an introduction, a list of principal dates in Newman's life, and a bibliography.