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The aim of this monograph is to describe Greek mathematics as a literary product, studying its style from a logico-syntactic point of view and setting parallels with logical and grammatical doctrines developed in antiquity. In this way, major philosophical themes such as the expression of mathematical generality and the selection of criteria of validity for arguments can be treated without anachronism. Thus, the book is of interest for both historians of ancient philosophy and specialists in Ancient Greek, in addition to historians of mathematics. This volume is divided into five parts, ordered in decreasing size of the linguistic units involved. The first part describes the three stylistic codes of Greek mathematics; the second expounds in detail the mechanism of "validation"; the third deals with the status of mathematical objects and the problem of mathematical generality; the fourth analyzes the main features of the "deductive machine," i.e. the suprasentential logical system dictated by the traditional division of a mathematical proposition into enunciation, setting-out, construction, and proof; and the fifth deals with the sentential logical system of a mathematical proposition, with special emphasis on quantification, modalities, and connectors. A number of complementary appendices are included as well. .

Mathematics --- History --- geschiedenis --- wiskunde

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Il libro ricostruisce la storia del Vat. gr. 1209, il famoso Codex Vaticanus della Bibbia, dalla sua confezione, nel IV sec. d.C., fino al suo ingresso in Vaticana, nel XV sec., riconoscendo nelle sue pagine alcuni lettori di età bizantina (Malachia, Giovanni Cortasmeno e Bessarione) e proponendo di identificare il suo restauratore quattrocentesco con l'astronomo Michele Crisococca.

Codex Vaticanus B. --- Manuscripts, Greek --- Scribes --- Bible --- Codex Vaticanus --- Bēssariōn - Cardinal - 1403-1472

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Mathematics, Greek --- Numbers, Polygonal --- Transmission of texts

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Les relations entre la bibliotheque papale à la fin du XIIIe siecle et le celebre traducteur Guillaume de Moerbeke constituent l?episode central de la transmission du savoir grec en Occident. Ce livre presente une mise au point definitive de la question, en prenant comme cas d?etude une traduction de Moerbeke dont le modele grec, actuellement conserve à Florence, faisait partie de la bibliotheque de pape Boniface VIII.

William, --- Europe --- Civilization --- Greek influences. --- Manuscripts, Greek --- Greek manuscripts --- Greek language --- Greek philology --- Guilelmus, --- Guillaume, --- Guillelmus, --- Gulielmus, --- Moerbeka, Guilelmus de, --- Moerbeke, Guillaume de, --- Moerbeke, William of, --- Morbeca, Guilelmus de, --- Morbeka, Gulielmus de, --- Mörbeke, Wilhelm von, --- Murbeka, Gulielmus de, --- Wilhelm, --- Wilhelmus, --- Willem, --- Greece --- Academic collection --- Greek literature --- Translations into Latin --- History and criticism. --- Themistius. --- Boniface --- Influence. --- Religious studies --- Classical Greek literature --- Manuscripts. Epigraphy. Paleography --- History of civilization --- William of Moerbeke --- anno 1200-1299 --- PHILOSOPHY / History & Surveys / Medieval. --- Paraphrasis tōn Peri psychēs Aristotelous (Themistius) --- Philosophy / History & Surveys / Medieval.

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This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical 'revolutions' and 'continuity'. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn's ideas on 'scientific revolutions' to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on 'geometrical algebra' and 'premodern algebra', the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of 'continuity' between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle.

Mathematics, Greek. --- Geometry --- Greek mathematics --- History. --- Greek Mathematics. --- Scientific Revolutions. --- Thomas Kuhn.