Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a (...) simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual. (shrink)

This paper argues that, contrary to the claims of Alan Chalmers, Boyle understood his experimental work to be intimately related to his mechanical philosophy. Its central claim is that the mechanical philosophy has a heuristic structure that motivates and gives direction to Boyle's experimental programme. Boyle was able to delimit the scope of possible explanations of any phenomenon by positing both that all qualities are ultimately reducible to a select group of mechanical qualities and that all explanations of natural phenomena (...) are to be in terms of the operations of machines and are to appeal only to qualities that are already familiar. This is illustrated by his investigations into the Torricellian experiment. Boyle's explanation of the elevation of the mercurial cylinder by appeal to the spring of the air was an intermediate mechanical explanation. Boyle was convinced that the spring of the air was ultimately reducible to the mechanical qualities. This in turn had implications for his research into the cause of respiration. In a move that was both parsimonious and consistent with the broad requirements of the mechanical philosophy, Boyle was able to solve the problem of the cause of the inflow of air into the lungs by appeal to his research in pneumatics. This application of a mechanical explanation in pneumatics to physiology is just what one would expect if the mechanical philosophy was as universal as Boyle claimed it to be. Therefore, far from Boyle's experiments having a life of their own, they were clearly directed by and understood in terms of the mechanical philosophy. (shrink)

A well-written translation of Cournot's Essai sur les fondements de nos connaissances et sur les caractères de la critique philosophique. The author, little known in this country except for his work in mathematics and economics, first published this work in 1851. The Essay is part rationalism, part empiricism. The first half of the Essay argues for Cournot's theory of knowledge; the second relates his theory to problems of mathematics, logic, law, history, psychology, ethics, esthetics, and to his philosophical predecessors. It (...) is a work which will reward careful study and which will be of special interest to students of Peirce and Bergson. The translator has provided a lengthy introduction which will be of value to those unfamiliar with Cournot and Cournot literature, and an excellent index. --R. P. (shrink)

We have here a skeletal but suggestive sketch of the author's rejection of historicism and of history as progress; the history of philosophy serves as paradigm.--R. P.

In this brief essay Vanhoutte treats the complex structure of the Gorgias with remarkable care. Freedom and constraint in human responses and in the form of discussion are the key strands he separates.--R. P.

Jensen limits himself mainly to the early work of Hutcheson, i.e., Inquiry Concerning Moral Good and Evil and Essay on the Nature and Conduct of the Passions and Affections, with brief mention of his later work. This seems to be quite justified in that the more interesting and perhaps more creative work of Hutcheson appears in his earlier writings. The main thrust of this study is to examine Hutcheson’s theory of motivation and his moral sense theory, first individually and then (...) in their interrelationship. Jensen’s presentation of Hutcheson’s moral sense theory makes use of the work and scholarship of such writers as Broad, Frankena, Blackstone and Peach, although Jensen assesses these authors, and in the last chapter, offers his own suggestions for the improvement of Hutcheson’s theory. The real forte of this book lies in the author’s original examination and reflection upon Hutcheson’s theory of motivation. It is this theory, Jensen declares, which "... constitutes one of his most valuable contributions to moral philosophy." It seems to be by virtue of this theory that Hutcheson can be understood as stressing the practical and dynamic dimensions of morality. Yet coupled with the moral sense theory, the results, as Jensen takes care to show, are somewhat disastrous. Some of the problems arising from this union are the following: how the moral sense influences motivation, how "justifying reasons" relate to action, and how obligation relates to motivation. This book is a scholarly work in philosophy which illumines some perennial philosophical perplexities in the light of recent philosophical work, thus making these problems intelligible and meaningful to philosophers today.—P. R. (shrink)

These nine brief essays, dealing with the interactions of the sciences and humanities, appeared originally in Daedalus, the journal of the American Academy of Arts and Sciences. Two are by P. W. Bridgman and Philipp Frank, and the remainder are in their honor on the occasion of their retirement. Little here is new, but much is well said.--R. P.

A detailed study of Plato's treatment of hedonism in the Protagoras, Gorgias, Phaedo, Republic, and Philebus. The work is more noteworthy for its attention to a field hitherto out of focus in studies of this length than for its insight.--R. P.

The interest of this Georgian ancestor of the Barlaam and Josophat romance lies in the relative nearness of the Christian version in time and in its ethical attitudes to the probable Buddhist Sanskrit original.--R. P.