The Method of Analysis: Its Geometrical Origin and Its General Significance, Volume 25Springer Science & Business Media, 30 de nov. de 1974 - 144 páginas 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 extra 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 extreme ly direct way with the very problem the whole Conference was from the outset designed to treat. Generally put, this problem was to bring to gether a number of historians and philosophers of science whose contrib uted papers would bear witness to the ways in which the two disciplines can be, and are, of value to each other. |
Conteúdo
The Historical Significance of the Idea of Geometrical Analysis | 1 |
Pappus on the Direction of Anlalysis and Synthesis | 7 |
What Pappus Says and What He Does A Comparison and an Example | 22 |
Analysis as Analysis of Figures The Logic of the Analytical Method | 31 |
The Problem of Auxiliary Constructions | 41 |
The Problem of the Resolution | 49 |
Analysis as Analysis of Figures Pappus Terminology and His Practices | 70 |
Pappus and the Tradition of Geometrical Analysis | 84 |
On the Significance of the Method of Analysis in Early Modern Science | 105 |
ARPAD K SZABO Working Backwards and Proving by Synthesis | 118 |
Reply to Professor Szabo | 131 |
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Outras edições - Ver todos
The Method of Analysis: Its Geometrical Origin and Its General Significance Jaakko Hintikka,U. Remes Visualização parcial - 2012 |
The Method of Analysis: Its Geometrical Origin and Its General Significance Jaakko Hintikka,U. Remes Prévia não disponível - 1974 |
Termos e frases comuns
a₁ analysis and synthesis analysis of figures analysis proper analytical method analytical proof analytical proof system apodeixis Aristotelian Aristotle Aristotle's arkhe auxiliary constructions axioms Boston Studies Chapter Cohen and Marx configuration conjecture Data dedomena deductive steps Descartes description of analysis desired conclusion diorismos direction of analysis Elements enunciation Euclid's Euclid's Elements fact first-order logic Friedlein geometrical analysis geometrical objects given Greek geometers Greek Mathematics Hankel Heath Heiberg Hence Heron heuristic Hultsch 634 hypotheses idea of analysis impossible inferred instance instantiated JAAKKO HINTIKKA logical consequence Marinus means method of analysis methodological modern Newton Pappus passage Philoponus Philosophy of Science premisses problem problematical analysis procedure Proclus Prop proposition propositional logic prove reductio ad absurdum resolution role seems sense speaking Speusippus steps of analysis Stoic Szabó T. L. Heath terminology theoretical analysis thing sought tion true Wartofsky word zetoumenon καὶ τὰ τὸ τῶν