The History of Mathematical Proof in Ancient Traditions

The History of Mathematical Proof in Ancient Traditions
Author: Karine Chemla
Publisher: Cambridge University Press
Total Pages: 522
Release: 2012-07-05
Genre: Philosophy
ISBN: 1139510584

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 Topkapi Scroll

The Topkapi Scroll
Author: Gülru Necipoğlu
Publisher: Getty Publications
Total Pages: 414
Release: 1996-03-01
Genre: Art
ISBN: 0892363355

Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.

Lost Enlightenment

Lost Enlightenment
Author: S. Frederick Starr
Publisher: Princeton University Press
Total Pages: 694
Release: 2015-06-02
Genre: History
ISBN: 0691165858

The forgotten story of Central Asia's enlightenment—its rise, fall, and enduring legacy In this sweeping and richly illustrated history, S. Frederick Starr tells the fascinating but largely unknown story of Central Asia's medieval enlightenment through the eventful lives and astonishing accomplishments of its greatest minds—remarkable figures who built a bridge to the modern world. Because nearly all of these figures wrote in Arabic, they were long assumed to have been Arabs. In fact, they were from Central Asia—drawn from the Persianate and Turkic peoples of a region that today extends from Kazakhstan southward through Afghanistan, and from the easternmost province of Iran through Xinjiang, China. Lost Enlightenment recounts how, between the years 800 and 1200, Central Asia led the world in trade and economic development, the size and sophistication of its cities, the refinement of its arts, and, above all, in the advancement of knowledge in many fields. Central Asians achieved signal breakthroughs in astronomy, mathematics, geology, medicine, chemistry, music, social science, philosophy, and theology, among other subjects. They gave algebra its name, calculated the earth's diameter with unprecedented precision, wrote the books that later defined European medicine, and penned some of the world's greatest poetry. One scholar, working in Afghanistan, even predicted the existence of North and South America—five centuries before Columbus. Rarely in history has a more impressive group of polymaths appeared at one place and time. No wonder that their writings influenced European culture from the time of St. Thomas Aquinas down to the scientific revolution, and had a similarly deep impact in India and much of Asia. Lost Enlightenment chronicles this forgotten age of achievement, seeks to explain its rise, and explores the competing theories about the cause of its eventual demise. Informed by the latest scholarship yet written in a lively and accessible style, this is a book that will surprise general readers and specialists alike.

Encyclopedia of Medieval Philosophy

Encyclopedia of Medieval Philosophy
Author: Henrik Lagerlund
Publisher: Springer Science & Business Media
Total Pages: 1448
Release: 2010-12-07
Genre: Philosophy
ISBN: 140209728X

This is the first reference ever devoted to medieval philosophy. It covers all areas of the field from 500-1500 including philosophers, philosophies, key terms and concepts. It also provides analyses of particular theories plus cultural and social contexts.

Examined Lives

Examined Lives
Author: James Miller
Publisher: Farrar, Straus and Giroux
Total Pages: 433
Release: 2011-01-04
Genre: Philosophy
ISBN: 1429957166

A New York Times Notable Book for 2011 We all want to know how to live. But before the good life was reduced to ten easy steps or a prescription from the doctor, philosophers offered arresting answers to the most fundamental questions about who we are and what makes for a life worth living. In Examined Lives, James Miller returns to this vibrant tradition with short, lively biographies of twelve famous philosophers. Socrates spent his life examining himself and the assumptions of others. His most famous student, Plato, risked his reputation to tutor a tyrant. Diogenes carried a bright lamp in broad daylight and announced he was "looking for a man." Aristotle's alliance with Alexander the Great presaged Seneca's complex role in the court of the Roman Emperor Nero. Augustine discovered God within himself. Montaigne and Descartes struggled to explore their deepest convictions in eras of murderous religious warfare. Rousseau aspired to a life of perfect virtue. Kant elaborated a new ideal of autonomy. Emerson successfully preached a gospel of self-reliance for the new American nation. And Nietzsche tried "to compose into one and bring together what is fragment and riddle and dreadful chance in man," before he lapsed into catatonic madness. With a flair for paradox and rich anecdote, Examined Lives is a book that confirms the continuing relevance of philosophy today—and explores the most urgent questions about what it means to live a good life.

Historical Encyclopedia of Natural and Mathematical Sciences

Historical Encyclopedia of Natural and Mathematical Sciences
Author: Ari Ben-Menahem
Publisher: Springer Science & Business Media
Total Pages: 6070
Release: 2009-03-06
Genre: Education
ISBN: 3540688315

This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.

The Great Leap-Fraud

The Great Leap-Fraud
Author: A.J. Deus
Publisher: iUniverse
Total Pages: 601
Release: 2011-01-19
Genre: Religion
ISBN: 1450280609

Religious ignorance is as dangerous for societal stability as religious extremism. In The Great Leap-Fraud, author A. J. Deus shows that only through the cowardly behavior of a majority that is uneducated in religious questions can sectarian extremism and terrorism take shape and overtake societies. Modern civilizations fail to address the dangerous defect. Based on a reassessment of primary documents from the beginning of Judaism through to the Reformation, The Great Leap-Fraud evaluates the Judaic scriptures of the Jews, the Christians, and the Muslims for their potential to stir hatred, violence, and terrorism. It searches for messages in the scriptures that may alter the economic behavior of societies. While providing an overview of three major religionsJudaism, Christianity, and IslamThe Great Leap-Fraud uncovers a series of frauds and premeditated deployment of prophets with the goal to establish or redeem the Jewish state of Israel. It also uncovers how the vested interest of Christian historians has pushed the rise of Christianity unto Roman Emperors. Deus shows that the way humans think and act are strongly influenced by a culture driven by the norms of religious organizations, both past and present. More information at www.ajdeus.org.