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Explores the nature of mathematical proof in a range of historical settings, providing the first comprehensive history of proof.

Mathematics, Ancient --- Proof theory --- Logic, Symbolic and mathematical --- Ancient mathematics --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Philosophy. --- History. --- Prova, Teoria de la. --- Matemàtica --- Lògica de la matemàtica --- Matemàtica, Lògica de la --- Demostració, Teoria de la --- Lògica matemàtica --- Filosofia. --- Histoire des mathematiques --- Logique mathematique --- Theorie de la preuve

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Multidisciplinary collective works --- Ethnology. Cultural anthropology --- Mathematics --- History --- interdisciplinair onderzoek --- geschiedenis --- wiskunde

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The book presents the outcomes of an innovative research programme in the history of science and implements a Text Act Theory which extends Speech Act Theory, in order to illustrate a new approach to texts and textual communicative acts. It examines assertives (absolute or conditional statements, forecasts, insurance, etc.), directives, declarations, and enumerations, as well as different types of textual units allowing authors to perform these acts: algorithms, recipes, prescriptions, lexical templates for terminological studies, and enumerative structures. The book relies on the study of a broad range of documents of the past dealing with various domains: mathematics, zoology, medicine, lexicography. The documents examined come from scholarly sources from different parts of the world, such as China, Europe, India, Mesopotamia, and are written in a variety of European languages as well as Chinese, Cuneiform, and Sanskrit. This approach proves fruitful in both history of science and Text Act Theory.

Science, general. --- History of Science. --- Philosophy of Language. --- Regional and Cultural Studies. --- Science --- Linguistics --- Regional planning. --- Sciences --- Linguistique --- Aménagement du territoire --- History. --- Philosophy. --- Histoire --- Philosophie --- Discourse analysis. --- Persuasion (Rhetoric). --- Speech acts (Linguistics). --- History & Archaeology --- History - General --- Persuasion (Rhetoric) --- Speech acts (Linguistics) --- Illocutionary acts (Linguistics) --- Speech act theory (Linguistics) --- Speech events (Linguistics) --- Discourse grammar --- Text grammar --- Culture --- Language and languages --- Study and teaching. --- Speech --- Rhetoric --- Forensics (Public speaking) --- Oratory --- Semantics --- Semiotics --- Philosophy --- Culture-Study and teaching. --- Annals --- Auxiliary sciences of history --- Language and languages—Philosophy. --- Culture—Study and teaching.

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This book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.--Provided by publisher.

History, Ancient. --- Mathematics --- Economics --- Agricultural administration --- History --- Mathematics. --- History. --- Economic history. --- Epistemology. --- History of Mathematical Sciences. --- History of Science. --- History of Economic Thought/Methodology. --- Economic conditions --- History, Economic --- Annals --- Auxiliary sciences of history --- Math --- Science --- Epistemology --- Theory of knowledge --- Philosophy --- Psychology --- Mathematics, Ancient. --- Ancient mathematics --- Agricultural administration. --- Economics. --- Markets --- Markets. --- Administrative agencies --- Administrative agencies. --- Économie politique --- Marchés (économie politique) --- Administration --- History, ancient --- Histoire ancienne. --- Économie politique --- Marchés (économie politique)