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 : 83. 75 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.

The Oxford Handbook Of Generality In Mathematics And The Sciences

Author : Karine Chemla
ISBN : 0198777264
Genre :
File Size : 39. 3 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.

Proofs And Types

Author : Jean-Yves Girard
ISBN : 0521371813
Genre : Computers
File Size : 82. 47 MB
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This text is an outgrowth of notes prepared by J. Y. Girard for a course at the University of Paris VII. It deals with the mathematical background of the application to computer science of aspects of logic (namely the correspondence between proposition & types). Combined with the conceptual perspectives of Girard's ideas, this sheds light on both the traditional logic material & its prospective applications to computer science. The book covers a very active & exciting research area, & it will be essential reading for all those working in logic & computer science.

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

Author : True Islam
ISBN : 0982161875
Genre : History
File Size : 45. 99 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.

The Nine Chapters On The Mathematical Art

Author : Kangshen Shen
ISBN : 0198539363
Genre : Mathematics
File Size : 65. 99 MB
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' a rich compilation of attractive problems telling wonderful fairy tales full of imaginative and delightful connections' Zentralbaltt MathematikThe Nine Chapters on the Mathematical Art is a classic text: the most important mathematical source in China during the past 2000 years, and comparable in significance to Euclid's Elements in the West. This volume contains the first complete English translation of the Nine Chapters, together with two commentaries written in the 3rd century (by Liu Hui) and 7th century AD, and a further commentary by the translators.

From Alexandria Through Baghdad

Author : Nathan Sidoli
ISBN : 3642367356
Genre : Mathematics
File Size : 80. 84 MB
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This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.

The Crest Of The Peacock

Author : George Gheverghese Joseph
ISBN : 0691135266
Genre : Mathematics
File Size : 20. 47 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.

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