This new edition of the classic Contemporary Theories of Knowledge has been significantly updated to include analyses of the recent literature in epistemology.

Pollock describes an exciting theory of rationality and its partial implementation in OSCAR, a computer system whose descendants will literally be persons.

Princeton University Press, 1974. This book is out of print, but can be downloaded as a pdf file (5 MB).

In this book Pollock deals with the subject of probabilistic reasoning, making general philosophical sense of objective probabilities and exploring their ...

This Element is an exposition of second- and higher-order logic and type theory. It begins with a presentation of the syntax and semantics of classical second-order logic, pointing up the contrasts with first-order logic. This leads to a discussion of higher-order logic based on the concept of a type. The second Section contains an account of the origins and nature of type theory, and its relationship to set theory. Section 3 introduces Local Set Theory, an important form of type theory (...) based on intuitionistic logic. In Section 4 number of contemporary forms of type theory are described, all of which are based on the so-called 'doctrine of propositions as types'. We conclude with an Appendix in which the semantics for Local Set Theory - based on category theory - is outlined. (shrink)

"There is no attempt here to lay down as inviolable or to legislate certain ways of looking at things or ways of proceeding for philosophers of religion, only proposals for how to deal with a range of basic issues-proposals that I hope will ignite much fruitful discussion and which, in any case, I shall take as a basis for my own ongoing work in the field."-from the Preface Providing an original and systematic treatment of foundational issues in philosophy of religion, (...) J. L. Schellenberg's new book addresses the structure of religious and irreligious belief, the varieties of religious skepticism, and the nature of religion itself. From the author's searching analysis of faith emerges a novel understanding of propositional faith as requiring the absence of belief. Schellenberg asks what the aims of the field should be, setting out a series of principles for carrying out some of the most important of these aims. His account of justification considers not only belief but also other responses to religious claims and distinguishes the justification of responses, propositions, and persons. Throughout Prolegomena to a Philosophy of Religion, Schellenberg is laying the groundwork for an elaboration of his own vision while at the same time suggesting how philosophers might rethink assumptions guiding most of today's work in analytic philosophy of religion. (shrink)

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)

Hermann Weyl, one of the twentieth century's greatest mathematicians, was unusual in possessing acute literary and philosophical sensibilities—sensibilities to which he gave full expression in his writings. In this paper I use quotations from these writings to provide a sketch of Weyl's philosophical orientation, following which I attempt to elucidate his views on the mathematical continuum, bringing out the central role he assigned to intuition.

John Bintliff et alii Le Tanagra Project : recherches dans une cité antique de Béotie et son territoire (2000-2002) p.541-606 Cet article présente les résultats préliminaires du Leiden-Ljubljana Field Project dans la cité antique de Tanagra, en Béotie orientale, et dans ses environs immédiats. Les travaux ont débuté en 1999, avec une vaste équipe de chercheurs et d'étudiants des Pays-Bas, de Belgique, de Slovénie et de Grèce, sous la direction de John Bintliff et Bozidar Slapsak et la sous-direction (...) de Kostas Sbonias. Les différents spécialistes présentent ici leur travail en détail, développant les rapports des deux premières campagnes publiés dans Pharos, le périodique annuel de l'Institut néerlandais d'Athènes. (shrink)

John Wilson's work as moral educator is summarized and evaluated. His rationalist humanistic approach is based on a componential characterization of the morally educated person. Such a person consistently manifests a unity of reflection, feeling, belief, and acting under the logically structured rubrics of PHIL, EMP, GIG and KRAT, and exemplifying the formal features of 'moral opinion'. The rationale and conceptual status of the components is discussed, as is the view that the concept of education entails that teachers be (...) moral educators. This involves cultivating autonomous rationality with respect to the unconscious, motivation, day-to-day moral decision-making, and the emotions; in the latter case there are extensive applications in religious education. Finally, certain weaknesses and pre-eminent strengths of Wilson's position are indicated, and comparisons briefly made with the views of McPhail, Peters, Frankena and Kohlberg. (shrink)

For this second edition, the editors have returned to Austin's original lecture notes, amending the printed text where it seemed necessary.

Epistemology is about how we can know the various things we claim to know. Epistemology is driven by attempts to answer the question, “How do you know?” This gives rise to investigations on several different levels. At the lowest level, philosophers investigate particular kinds of knowledge claims. Thus we find theories of perceptual knowledge (“How do you know the things you claim to know directly on the basis of perception?”), theories of induction and abduction (“How do you know the general (...) truths you infer from observation of particular cases?”), theories of our knowledge of other minds, theories of mathematical knowledge, and so forth. At an intermediate level, topics are investigated that pertain to all or most of the specific kinds of knowledge discussed at the lowest level. Theories of reasoning, both deductive and defeasible, occur at this level. At the highest level we find general epistemological theories that attempt to explain how knowledge in general is possible. At this level we encounter versions of foundationalism, coherentism, probabilism, reliabilism, and direct realism. One can be doing epistemology by working at any of these levels. The levels cannot be isolated from each other, however. Work at any level tends to presuppose something about the other levels. For example, work on inductive reasoning at least presupposes that reasoning plays a role in the acquisition or justification of beliefs and normally presupposes something about the structure of defeasible reasoning. (shrink)

Some aspects of the theory of Boolean algebras and distributive lattices–in particular, the Stone Representation Theorems and the properties of filters and ideals–are analyzed in a constructive setting.

This chapter traces the historical and conceptual development of the idea of the continuum and the allied concept of real number. Particular attention is paid to the idea of infinitesimal, which played a key role in the development of the calculus during the seventeenth and eighteenth centuries, and which has undergone a revival in the later twentieth century.

In this bold addition to Oxford's What Everyone Needs to Know® series, John L. Esposito and Natana DeLong-Bas offer a guide to the often-discussed but seldom-understood concept of Sharia, responding to misunderstandings and distortions, as well as providing answers to questions about the origin, nature, and content of Sharia.

A weak form of intuitionistic set theory WST lacking the axiom of extensionality is introduced. While WST is too weak to support the derivation of the law of excluded middle from the axiom of choice, we show that beefing up WST with moderate extensionality principles or quotient sets enables the derivation to go through.

Some proponents of the preservation of American wildemess-for example, Aldo Leopold-have argued in terms of the role of wildemess in forming and maintaining a set of distinctive national character traits. l examine and defend the value judgment implicit in Leopold’s argument. The value of one's cultural heritage is, I contend, as important and valid as other familiar goods appealed to in defense of social policy.

As a preliminary to the modern theory of measurement with which this paper is chiefly concerned, it is desirable to review a few of the characteristics and implications of classical physics to illustrate the far reaching changes that have taken place in our conception of nature as the result of the development of quantum mechanics.

The bioethical principle of autonomy is problematic regarding the future of the embryo who lacks the ability to self-advocate but will develop this defining human capacity in time. Recent experiments explore the use of clustered regularly interspaced short palindromic repeats /Cas9 for germline engineering in the embryo, which alters future generations. The embryo’s inability to express an autonomous decision is an obvious bioethical challenge of germline engineering. The philosopher Joel Feinberg acknowledged that autonomy is developing in children. He advocated that (...) to reserve this future autonomy, parents should be guided to make ethical decisions that provide children with open futures. Here, Feinberg’s 1980 open future theory is extended to the human embryo in the context of CRISPR germline engineering. Although the embryo does not possess the autonomous decision-making capacity at the time of germline engineering, the parental decision to permanently change the unique genetic fabric of the embryo and subsequent generations disregards future autonomy. Therefore, germline engineering in many instances is objectionable considering Feinberg’s open future theory. (shrink)

This exceptionally successful survey text introduces the teachings and practice of Islam from its earliest origins up to its contemporary practice. John L. Esposito, an internationally renowned expert on Islam, traces the development of Islam and its impact on world history and politics.Lucidly written and expansive in scope, Islam: The Straight Path, Updated Fifth Edition, provides keen insight into one of the world's least understood religions. It is ideally suited for use in courses on Islam, world religions, comparative religions, (...) and Middle East history and culture.A FREE 6-month subscription to Oxford Islamic Studies Online, edited by John L. Esposito, is included with the purchase of every new copy of this text. (shrink)

Many studies of primate vocalization have been undertaken to improve our understanding of the evolution of language. Perhaps, for this reason, investigators have focused on calls that were thought to carry symbolic information about the environment. Here I suggest that even if these calls were in fact symbolic, there were independent reasons to question this approach in the first place. I begin by asking what kind of communication system would satisfy a species’ biological needs. For example, where animals benefit from (...) living in large groups, I ask how members would need to communicate to keep their groups from fragmenting. In this context, I discuss the role of social grooming and “close calls,” including lip-smacking and grunting. Parallels exist in human societies, where information is exchanged about all kinds of things, often less about the nominal topic than the communicants themselves. This sort of indexical information is vital to group living, which presupposes the ability to tolerate, relate to, and interact constructively with other individuals. Making indexical communication the focus of comparative research encourages consideration of somatic and behavioral cues that facilitate relationships and social benefits, including cooperation and collaboration. There is ample room here for a different and potentially more fruitful approach to communication in humans and other primates, one that focuses on personal appraisals, based on cues originating with individuals, rather than signals excited by environmental events. (shrink)

Recent scholarship has inquired into the socio-historical, discursive genesis of trauma. Trauma and the Ontology of the Modern Subject, however, seeks what has not been actualized in trauma studies - that is, how the necessity and unassailable intensity of trauma is fastened to its historical emergence. We must ask not only what trauma means for the individual person's biography, but also what it means to be the historical subject of trauma. In other words, how does being human in this current (...) period of history implicate one's lived possibilities that are threatened, and perhaps framed, through trauma? Foucauldian sensibilities inform a critical and structural analysis that is hermeneutically grounded. Drawing on the history of ideas and on Lacan's work in particular, John L. Roberts argues that what we mean by trauma has developed over time, and that it is intimately tied with an ontology of the subject; that is to say, what it is to be, and means to be human. He argues that modern subjectivity - as articulated by Heidegger, Levinas, and Lacan - is structurally traumatic, founded in its finitude as self-withdrawal in time, its temporal self-absence becoming the very conditions for agency, truth and knowledge. The book also argues that this fractured temporal horizon - as an effect of an interrupting Otherness or alterity - is obscured through the discourses and technologies of the psy-disciplines (psychiatry, psychology, and psychotherapy). Consideration is given to social, political, and economic consequences of this concealment. Trauma and the Ontology of the Modern Subject will be of enduring interest to psychoanalysts and psychotherapists as well as scholars of philosophy and cultural studies. (shrink)

Since antiquity, opposed concepts such as the One and the Many, the Finite and the Infinite, and the Absolute and the Relative, have been a driving force in philosophical, scientific, and mathematical thought. Yet they have also given rise to perplexing problems and conceptual paradoxes which continue to haunt scientists and philosophers. In Oppositions and Paradoxes, John L. Bell explains and investigates the paradoxes and puzzles that arise out of conceptual oppositions in physics and mathematics. In the process, Bell (...) not only motivates abstract conceptual thinking about the paradoxes at issue, he also offers a compelling introduction to central ideas in such otherwise-difficult topics as non-Euclidean geometry, relativity, and quantum physics. These paradoxes are often as fun as they are flabbergasting. Consider, for example, the famous Tristram Shandy paradox: an immortal man composing an autobiography so slowly as to require a year of writing to describe each day of his life and he would, if he had infinite time, presumably never complete the work, although no individual part of it would remain unwritten. Or imagine an English professor who time-travels back to 1599 to offer a printing of Hamlet to Shakespeare, so as to help the Bard overcome writer's block and author the play which will centuries later inspire an English professor to travel back in time. These and many other paradoxes straddle the boundary between physics and metaphysics, and demonstrate the hidden difficulty in many of our most basic concepts. (shrink)

ABSTRACT In the second decade of the twentieth century a new subject appeared in American high schools, aimed at providing citizens with an understanding of the essential nature of scientific thinking. “General science,” as it was called, was developed and promoted by an emerging class of professional educators who sought to offer a version of science that they believed would both excite public interest and prove useful in the everyday lives of the masses of students streaming into the rapidly expanding (...) institution of secondary education. It was to be a course with real utility that would transcend the boundaries of the specialized, abstract disciplinary subjects like chemistry and physics—subjects with identities tied to the practices and standards of the colleges and universities, which had long exerted control over the content of secondary schooling. This essay recounts the origins of general science and, in particular, examines how the intellectual and material environment of the city of Chicago at the turn of the century influenced the course that was produced and widely adopted in school programs across the United States. (shrink)