To justify certain steps of the computation developed in his Sand-Reckoner, Archimedes cites the following inequalities relative to the sides of right triangles: if of two right-angled triangles, the sides about the right angle are equal , while the other sides are unequal, the greater angle of those toward [sc. next to] the unequal sides has to the lesser a greater ratio than the greater line of those subtending the right angle to the lesser, but a lesser than the greater (...) line of those about the right angle to the lesser. That is, with reference to the two right triangles ABG, DEZ , where AG equals DZ and the angle at B is greater than that at E, ZE:GB < angle B:angle E < DE:AB. (shrink)

To justify certain steps of the computation developed in his Sand-Reckoner, Archimedes cites the following inequalities relative to the sides of right triangles: if of two right-angled triangles, the sides about the right angle are equal, while the other sides are unequal, the greater angle of those toward [sc. next to] the unequal sides has to the lesser a greater ratio than the greater line of those subtending the right angle to the lesser, but a lesser than the greater line (...) of those about the right angle to the lesser. That is, with reference to the two right triangles ABG, DEZ, where AG equals DZ and the angle at B is greater than that at E, ZE:GB < angle B:angle E < DE:AB. (shrink)

This book provides an exciting and diverse philosophical exploration of the role of practice and practices in human activity. It contains original essays and critiques of this philosophical and sociological attempt to move beyond current problematic ways of thinking in the humanities and social sciences. It will be useful across many disciplines, including philosophy, sociology, science, cultural theory, history and anthropology.

This book constitutes the outcome of an international conference held at the Otto-Mobes-Volkswirtschaftsschule, Graz-Stifting( Austria), from June 16 to 22, 1974. The conference was initiated by a project group working on determinants and controls of social science development at the In stitute for Advanced Studies and Scientific Research in Vienna and or ganized by the editors of this volume. It was held under the auspices of the Austrian Ministry of Science and Research. The main topics of the conference were those (...) at the forefront of the 'state of argumentation' (to borrow from one of our contributors) in philosophy and sociology of science ever since the controversy between Thomas S. Kuhn and Sir Karl R. Popper has sharpened our awareness for the methodological and substantial presuppositions involved with questions of growth and development in science. Let us give two examples of those topics. The borderline between sociology of science and philo sophy of science has become more and more unclear; while the work of at least some philosophers of science comes to have an empirical flavour, sociologists of science are increasingly apt to include logical and methodo logical components of the research process as their objects of examina tion. Papers included in this volume testify to both tendencies. (shrink)

Descartes' place in history, by L. J. Lafleur.--A central ambiguity in Descartes, by S. Rosen.--Doubt, common sense and affirmation in Descartes and Hume, by H. J. Allen.--Some remarks on logic and the cogito, by R. N. Beck.--The cogito, an ambiguous performance, by J. B. Wilbur.--The modalities of Descartes' proofs for the existence of God, by B. Magnus.--Descartes and the phenomenological problem of the embodiment of consciousness, by J. M. Edie.--The person and his body: critique of existentialist responses to Descartes, (...) by P. A. Bertocci. (shrink)

The anthropological approach is the central focus of this study. Laboratories are looked upon with the innocent eye of the traveller in exotic lands, and the societies found in these places are observed with the objective yet compassionate eye of the visitor from a quite other cultural milieu. There are many surprises that await us if we enter a laboratory in this frame of mind... This study is a realistic enterprise, an attempt to truly represent the social order of life (...) in laboratories and institutes of research, just as they are. By bringing the philosophical issues to the surface as matters not of prejudgement but as matters of concern, Karin Knorr-Cetina has developed the first really positive challenge to the philosophy of science since the days of paradigms and internal definitions of meanings. (shrink)

This volume offers a selection of the most interesting and important work from recent years in the philosophy of mathematics, which has always been closely linked to, and has exerted a significant influence upon, the main stream of analytical philosophy. The issues discussed are of interest throughout philosophy, and no mathematical expertise is required of the reader. Contributors include W.V. Quine, W.D. Hart, Michael Dummett, Charles Parsons, Paul Benacerraf, Penelope Maddy, W.W. Tait, Hilary Putnam, George Boolos, Daniel Isaacson, Stewart Shapiro, (...) and Hartry Field. (shrink)

How does science create knowledge? Epistemic cultures, shaped by affinity, necessity, and historical coincidence, determine how we know what we know. In this book, Karin Knorr Cetina compares two of the most important and intriguing epistemic cultures of our day, those in high energy physics and molecular biology. The first ethnographic study to systematically compare two different scientific laboratory cultures, this book sharpens our focus on epistemic cultures as the basis of the knowledge society.

The description for this book, Eighteenth-Century British Logic and Rhetoric, will be forthcoming.