Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive languages like higher-order logic are ideally suited for representing and reasoning about structured knowledge. Uncertain knowledge can be modeled by using graded probabilities rather than binary truth-values. The main technical problem studied in this paper is the following: Given a set of sentences, each having some probability of being (...) true, what probability should be ascribed to other (query) sentences? A natural wish-list, among others, is that the probability distribution (i) is consistent with the knowledge base, (ii) allows for a consistent inference procedure and in particular (iii) reduces to deductive logic in the limit of probabilities being 0 and 1, (iv) allows (Bayesian) inductive reasoning and (v) learning in the limit and in particular (vi) allows confirmation of universally quantified hypotheses/sentences. We translate this wish-list into technical requirements for a prior probability and show that probabilities satisfying all our criteria exist. We also give explicit constructions and several general characterizations of probabilities that satisfy some or all of the criteria and various (counter) examples. We also derive necessary and sufficient conditions for extending beliefs about finitely many sentences to suitable probabilities over all sentences, and in particular least dogmatic or least biased ones. We conclude with a brief outlook on how the developed theory might be used and approximated in autonomous reasoning agents. Our theory is a step towards a globally consistent and empirically satisfactory unification of probability and logic. (shrink)

Bioethical issues remain front-page news, with debate continuing to rage over issues including genetic modification, animal cloning, and "designer babies." With public opinion often driven by media speculation, how can we ensure that informed decisions regarding key bioethical issues are made in a reasoned, objective way? Ideal for students new to the subject, Bioethics: An Introduction for the Biosciences offers a balanced, objective introduction to the field. With a focus on developing powers of reasoning and judgment, the book presents different (...) perspectives on common themes in an impartial way, thereby fostering debate and discussion. The opening section, "The Ethical Groundwork," introduces students to the nature of bioethics and ethical theory. The book goes on to cover a broad range of bioethical issues relating to people, animals, and food, before concluding with an overview of bioethics in practice. Features: * The broadest, most balanced textbook on bioethics available, offering students just the right mix of science and philosophy as well as a clear, objective introduction to the subject * Presents different perspectives on common themes in order to encourage students to question, evaluate, and form their own opinions * Incorporates many useful pedagogical tools including self-assessment questions, topics for discussion, and exercises * Includes references for further reading and useful web sites * A companion website offers resources for both students and instructors. (shrink)

Greek art and literature follow parallel courses through the long period from Homer to Euripides. Homer and Euripides, Dipylon vases and the latest white lekythoi are as far apart from each other as it is possible for works in the same medium to be. The distance can only be explained by a similar change in the views of artists, writers, and their public.

Most debate about the ethical implications of modern biotechnology has centred around medical issues, but public concerns over the impact of agricultural biotechnologies have gathered momentum. This volume, resulting from the 55th University of Nottingham Easter School in Agricultural and Food Science, provides a survey of this new field of enquiry. The book will be of interest to a wide readership, including applied philosophers, sociologists, economists and ecologists, as well as biotechnologists and agricultural and food scientists.

In The Theatre of Dionysus in Athens Dr. Pickard-Cambridge includes a most useful and convenient collection of south Italian vase-paintings which have been held to throw light on the stage-settings of Greek tragedy. He concludes that they give no evidence for Athens in the fifth century and in particular do not justify the assumption that interior scenes were played in a porch in front of the central door. The second conclusion is true, but some of the vases do show that (...) the central doors could be thrown wide open to display an interior scene. The first conclusion is formally correct, but it should be remembered that the “plays came from Athens, and it is at least possible that the south Italian producers modelled themselves on Athenian producers. In any case these vases are worthy of further consideration. (shrink)

This collection of essays addresses some of the central issues in modern social and political thought, such as: the revival of Marxism and its relevance to the social sciences; the analysis of social and political structures and social movements; and the future of advanced capitalist societies.

Marx was barely 25 when he produced this astonishing rich body of work-including economic and Philosophical Manuscripts and On the Jewish Question.

The comic is one of the principal esthetic categories; it unites the multifaceted experience of the social mind as it assimilates and cognizes the world, particularly the social world, on the basis of axioms of common sense, or even of public opinion about these axioms. Boldly violating the laws of logic and the verisimilitude of images, of normal connections and notions, and playing upon these violations, the comic nonetheless remains firmly on the side of common sense. The comic is inexhaustible (...) in its nuances — from light merriment and entertainment to malicious ridicule and satire, from gross farce to subtle forms of irony and humor. (shrink)

Professor Beare has attacked the position established by Alfred Körte in 1893 and accepted in large measure by Sir Arthur Pickard-Cambridge in Dithyramb, etc., and Festivals. The following reply is brief because I have dealt with the works of art at some length in Rylands Bulletin, xxxvi , 563 f. and in a forthcoming number of Ephemeris Archaiologike. The statement of Aristotle . I have tried to show that various elements in the ‘phallic performances’ were taken over by comedy and (...) that we have some evidence that the leaders of padded dancers wore the phallos. (shrink)