"This book considers conditions of applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction of mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. The author explores questions in the history of philosophy and (...) science, particularly in late antiquity and early modernity. The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved. (shrink)

APh 75-03932:Sono presentati i risultati di una nuova collazione dei principali manoscritti delle prime sette tetralogie, estesa anche a codici non utilizzati dall'edizione corrente degli scoli. Viene esclusa una redazione tardo-antica del corpus che risulta un prodotto specificamente bizantino redatto in tre fasi fra il 9° sec. e la metà del 10°.

Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle’s mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology and the philosophy of nature. Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the universe, (...) surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address ‘problems’ that Aristotle posed but couldn’t answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics. (shrink)

"Alexander's commentary on Book 1 concerns the definition of Aristotelian syllogistic argument; its resistance to the rival Stoic theory of inference; and the character of inductive inference and of rhetorical argument. Alexander distinguishes inseparable accidents, such as the whiteness of snow, from defining differentiae, such as its being frozen, and considers how these differences fit into the schemes of categories. He speaks of dialectic as a stochastic discipline in which success is to be judged not by victory but by skill (...) in argument. Alexander also investigates the subject of ambiguity, which had been richly developed since Aristotle by the rival Stoic school."--BOOK JACKET. (shrink)

An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.

v. 1. The Greek tradition -- v. 2. Greek texts and fragments of the Latin translation of "Alexander's" commentary -- v. 3. Appendices, Danish summary, indices.

Stoic work on ambiguity represents one of the most innovative, sophisticated and rigorous contributions to philosophy and the study of language in western antiquity. This book is both a comprehensive survey of the often difficult and scattered sources, and an attempt to locate Stoic material in the rich array of contexts, ancient and modern, which alone can guarantee full appreciation of its subtlety, scope and complexity. The comparisons and contrasts which this book constructs will intrigue not just classical scholars, and (...) philosophers, but also logicians, theoretical linguists, communication theorists and historians of grammar and of literary theory. The Stoics on Ambiguity is designed to be intelligible to readers with no Greek or Latin. (shrink)

No detailed description available for "Le Commentaire d'Alexandre d'Aphrodise aux "Seconds Analytiques" d'Aristote".