As official sponsors of the First International Conference in the History and Philosophy of Science, the two Divisions of the International Union of the History and Philosophy of Science owe a great deal to the University of Jyvliskyla and the 1973 Jyvliskylli Summer Festival for the extraยญ ordinarily generous hospitality they provided. But there is an additional debt owed, not simply for the locale but for the very substance of the Conference, to the two Finnish scholars who have jointly authored the present volume. For this volume represents not only the first part of the published proceedings of this First International Conference in the History and Philosophy of Science, but also, most fittingly, the paper that opened the Conference itself. Yet the appropriateness of the paper from which this book has resulted opening the Conference lies far less in the fact that it was a contribution by two Finnish authors to a meeting hosted in Finland than it does to the fact that this paper, and now the present book, comes to grips in an extremeยญ ly direct way with the very problem the whole Conference was from the outset designed to treat. Generally put, this problem was to bring toยญ gether a number of historians and philosophers of science whose contribยญ uted papers would bear witness to the ways in which the two disciplines can be, and are, of value to each other
CONTENT
I. The Historical Significance of the Idea of Geometrical Analysis -- II. Pappus on the Direction of Analysis and Synthesis -- III. What Pappus Says and What He Does: A Comparison and an Example -- IV. Analysis as Analysis of Figures: The Logic of the Analytical Method -- V. The Role of Auxiliary Constructions -- VI. The Problem of the โ{128}{152}Resolutionโ{128}{153} -- VII. Analysis as Analysis of Figures: Pappusโ{128}{153} Terminology and His Practice -- VIII. Pappus and the Tradition of Geometrical Analysis -- IX. On the Significance of the Method of Analysis in Early Modern Science -- Appendix I ร{129}rpรกd K. Szabรฒ/Working Backwards and Proving by Synthesis -- Appendix II Reply to Professor Szabรฒ -- Index of Names -- Index of Subjects -- Index of Passages
