the history of mathematical proof in ancient traditions

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The History Of Mathematical Proof In Ancient Traditions

Author : Karine Chemla
ISBN : 9781139510585
Genre : Philosophy
File Size : 37. 61 MB
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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.

Texts Textual Acts And The History Of Science

Author : Karine Chemla
ISBN : 9783319164441
Genre : Science
File Size : 40. 92 MB
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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.

The Oxford Handbook Of Generality In Mathematics And The Sciences

Author : Karine Chemla
ISBN : 9780191083051
Genre : Mathematics
File Size : 38. 65 MB
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Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how collectives have valued generality and how they have worked with specific types of "general" entities, procedures, and arguments. The books connects history and philosophy of mathematics and the sciences at the intersection of two of the most fruitful contemporary lines of research: historical epistemology, in which values (e.g. "objectivity", "accuracy") are studied from a historical viewpoint; and the philosophy of scientific practice, in which conceptual developments are seen as embedded in networks of social, instrumental, and textual practices. Each chapter provides a self-contained case-study, with a clear exposition of the scientific content at stake. The collection covers a wide range of scientific domains - with an emphasis on mathematics - and historical periods. It thus allows a comparative perspective which suggests a non-linear pattern for a history of generality. The introductory chapter spells out the key issues and points to the connections between the chapters.

The Crest Of The Peacock

Author : George Gheverghese Joseph
ISBN : 0691135266
Genre : Mathematics
File Size : 85. 23 MB
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"Enthralling ... After reading it, we cannot see the past in the same comforting haze of age-old stories, faithfully and uncritically retold from teacher to pupil down the years ... Invaluable for mathematics teachers at all levels."--New Scientist.

Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences

Author : I. Grattan-Guinness
ISBN : 0801873967
Genre : Mathematics
File Size : 63. 58 MB
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Mathematics is one of the most basic -- and most ancient -- types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists. The two-volume Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences recovers this mathematical heritage, bringing together many of the world's leading historians of mathematics to examine the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times to the twentieth century. In 176 concise articles divided into twelve parts, contributors describe and analyze the variety of problems, theories, proofs, and techniques in all areas of pure and applied mathematics, including probability and statistics. This indispensable reference work demonstrates the continuing importance of mathematics and its use in physics, astronomy, engineering, computer science, philosophy, and the social sciences. Also addressed is the history of higher education in mathematics. Carefully illustrated, with annotated bibliographies of sources for each article, The Companion Encyclopedia is a valuable research tool for students and teachers in all branches of mathematics. Contents of Volume 1: •Ancient and Non-Western Traditions •The Western Middle Ages and the Renaissance •Calculus and Mathematical Analysis •Functions, Series, and Methods in Analysis •Logic, Set Theories, and the Foundations of Mathematics •Algebras and Number Theory Contents of Volume 2: •Geometries and Topology •Mechanics and Mechanical Engineering •Physics, Mathematical Physics, and Electrical Engineering •Probability, Statistics, and the Social Sciences •Higher Education and Institutions •Mathematics and Culture •Select Bibliography, Chronology, Biographical Notes, and Index

The Shaping Of Deduction In Greek Mathematics

Author : Reviel Netz
ISBN : 0521541204
Genre : History
File Size : 29. 58 MB
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An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.

The Book Of God An Encyclopedia Of Proof That The Black Man Is God

Author : True Islam
ISBN : 0982161875
Genre : History
File Size : 63. 96 MB
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True Islam's 1997 cult classic is back in print in a new, revised edition. The Book of God has been called 'the bible of the Black God,' as it presents a wide range of scientific, historical, and scriptural evidence demonstrating that the Original Black Man is the God of the world's religious traditions, from the religious traditions of the Ancient Near and Far East such as Kemet (Egypt) and India to the Biblical religions and Islam. The Book of God answers such questions as: How is the Black Man God and what does this mean? What is God's relationship to spirit and matter? What does Albert Einstein's mathematical revelation E=mc2 have to do with the Reality of God? If the Original Black Man is God, Who is the Original Black Woman? Is there evidence of the reality of the Twenty Four Scientists? Who is Master Fard Muhammad? Was he actually an ex-con named Wallie Ford who served time in San Quentin on a drug charge? And more. The Book of God also demonstrates that: The God of the ancient religious traditions around the world was a self-created Black God. The Six Days of Creation in the book of Genesis chronicles the Black God's Six Trillion year evolution. The ancient sacred texts of the Original Man and Woman from around the world agree with the Hon. Elijah Muhammad's Teaching on God. The fields of Genetics and Hebrew Sacred Tradition converge to reveal that the Essence of the Creator inhabits the very genetic makeup of the Original Man and Woman. The Secret of the ancient Mysteries, the Masonic Lodge and Shrine, and the Church of Rome is the Reality of the Black God. Astrophysical evidence and ancient tradition converge to support the Hon. Elijah Muhammad's teaching on the Deportation of the Moon by a Black God. And much more.

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