The History Of Mathematical Proof In Ancient Traditions

Author : Karine Chemla
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,8 Mb
Release : 2012-07-05
Category : Philosophy
ISBN : 9781139510585

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The History of Mathematical Proof in Ancient Traditions by Karine Chemla Pdf

This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

Author : Karine Chemla
Publisher : Unknown
Page : 614 pages
File Size : 44,9 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1139518585

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The History of Mathematical Proof in Ancient Traditions by Karine Chemla Pdf

This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

Author : Bharath Sriraman
Publisher : Springer Nature
Page : 3221 pages
File Size : 51,6 Mb
Release : 2024-06-12
Category : Electronic
ISBN : 9783031408465

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Handbook of the History and Philosophy of Mathematical Practice by Bharath Sriraman Pdf

Author : Karine Chemla,Glenn W. Most
Publisher : Cambridge University Press
Page : 128 pages
File Size : 48,9 Mb
Release : 2022-06-09
Category : Political Science
ISBN : 9781108880930

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Mathematical Commentaries in the Ancient World by Karine Chemla,Glenn W. Most Pdf

This is the first book-length analysis of the techniques and procedures of ancient mathematical commentaries. It focuses on examples in Chinese, Sanskrit, Akkadian and Sumerian, and Ancient Greek, presenting the general issues by constant detailed reference to these commentaries, of which substantial extracts are included in the original languages and in translation, sometimes for the first time. This makes the issues accessible to readers without specialized training in mathematics or in the languages involved. The result is a much richer understanding than was hitherto possible of the crucial role of commentaries in the history of mathematics in four different linguistic areas, of the nature of mathematical commentaries in general, of the contribution that the study of mathematical commentaries can make to the history of science and to the study of commentaries in general, and of the ways in which mathematical commentaries are like and unlike other kinds of commentaries.

Author : Reviel Netz
Publisher : Cambridge University Press
Page : 905 pages
File Size : 50,7 Mb
Release : 2020-02-20
Category : History
ISBN : 9781108481472

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Scale, Space, and Canon in Ancient Literary Culture by Reviel Netz Pdf

A history of ancient literary culture told through the quantitative facts of canon, geography, and scale.

Author : Agathe Keller
Publisher : Springer Nature
Page : 582 pages
File Size : 41,5 Mb
Release : 2024-06-12
Category : Electronic
ISBN : 9783031496172

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Shaping the Sciences of the Ancient and Medieval World by Agathe Keller Pdf

Author : Eleanor Robson,Jacqueline Stedall
Publisher : Oxford University Press on Demand
Page : 927 pages
File Size : 48,6 Mb
Release : 2009
Category : History
ISBN : 9780199213122

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The Oxford Handbook of the History of Mathematics by Eleanor Robson,Jacqueline Stedall Pdf

This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.

Author : Anonim
Publisher : BRILL
Page : 633 pages
File Size : 45,8 Mb
Release : 2020-03-02
Category : History
ISBN : 9789004423626

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Powerful Arguments by Anonim Pdf

The essays in Powerful Arguments reconstruct the standards of validity underlying argumentative practices in a wide array of late imperial Chinese discourses, ranging from historiography, philosophy, law and religion to natural studies, literature, and the civil examination system.

Author : Catarina Dutilh Novaes
Publisher : Cambridge University Press
Page : 287 pages
File Size : 51,9 Mb
Release : 2020-12-17
Category : Computers
ISBN : 9781108479882

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The Dialogical Roots of Deduction by Catarina Dutilh Novaes Pdf

The first comprehensive account of the concept and practices of deduction covering philosophy, history, cognition and mathematical practice.

Author : Alexander Karp,Gert Schubring
Publisher : Springer Science & Business Media
Page : 634 pages
File Size : 55,8 Mb
Release : 2014-01-25
Category : Mathematics
ISBN : 9781461491552

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Handbook on the History of Mathematics Education by Alexander Karp,Gert Schubring Pdf

This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.

Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : American Mathematical Society
Page : 505 pages
File Size : 41,6 Mb
Release : 2021-12-17
Category : Mathematics
ISBN : 9781470466763

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The History of Mathematics: A Source-Based Approach by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf

The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Author : Karine Chemla,Jacques Virbel
Publisher : Springer
Page : 430 pages
File Size : 43,6 Mb
Release : 2015-07-15
Category : Science
ISBN : 9783319164441

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Texts, Textual Acts and the History of Science by Karine Chemla,Jacques Virbel Pdf

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.

Author : Fulvia Furinghetti,Alexander Karp
Publisher : Springer
Page : 314 pages
File Size : 54,7 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319682945

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Researching the History of Mathematics Education by Fulvia Furinghetti,Alexander Karp Pdf

This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Author : Michalis Sialaros
Publisher : Walter de Gruyter GmbH & Co KG
Page : 401 pages
File Size : 53,5 Mb
Release : 2018-04-23
Category : History
ISBN : 9783110565959

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Revolutions and Continuity in Greek Mathematics by Michalis Sialaros Pdf

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.

Author : Léna Soler,Sjoerd Zwart,Michael Lynch,Vincent Israel-Jost
Publisher : Routledge
Page : 346 pages
File Size : 51,6 Mb
Release : 2014-03-21
Category : Philosophy
ISBN : 9781317935353

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Science after the Practice Turn in the Philosophy, History, and Social Studies of Science by Léna Soler,Sjoerd Zwart,Michael Lynch,Vincent Israel-Jost Pdf

In the 1980s, philosophical, historical and social studies of science underwent a change which later evolved into a turn to practice. Analysts of science were asked to pay attention to scientific practices in meticulous detail and along multiple dimensions, including the material, social and psychological. Following this turn, the interest in scientific practices continued to increase and had an indelible influence in the various fields of science studies. No doubt, the practice turn changed our conceptions and approaches of science, but what did it really teach us? What does it mean to study scientific practices? What are the general lessons, implications, and new challenges? This volume explores questions about the practice turn using both case studies and theoretical analysis. The case studies examine empirical and mathematical sciences, including the engineering sciences. The volume promotes interactions between acknowledged experts from different, often thought of as conflicting, orientations. It presents contributions in conjunction with critical commentaries that put the theses and assumptions of the former in perspective. Overall, the book offers a unique and diverse range of perspectives on the meanings, methods, lessons, and challenges associated with the practice turn.