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Author: Karine Chemla
Publisher: Cambridge University Press
ISBN: 1139510584
Category : Philosophy
Languages : en
Pages : 522
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Book Description
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: Cambridge University Press
ISBN: 1139510584
Category : Philosophy
Languages : en
Pages : 522
Get Book Here
Book Description
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:
ISBN: 9781139518581
Category : MATHEMATICS
Languages : en
Pages : 614
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Book Description
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
ISBN: 3031408462
Category :
Languages : en
Pages : 3221
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Book Description
Author: Eleanor Robson
Publisher: Oxford University Press
ISBN: 0199213127
Category : History
Languages : en
Pages : 927
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Book Description
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: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
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Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author: John Z Wee
Publisher: BRILL
ISBN: 9004417532
Category : History
Languages : en
Pages : 533
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Book Description
Knowledge and Rhetoric in Medical Commentary is intended for historians of medicine and interpretation, and explores the dynamic between scholastic rhetoric and medical knowledge in ancient commentaries on a Mesopotamian Diagnostic Handbook. In line with commentators’ self-fashioning as experts of diverse disciplines, commentaries display intertextuality involving a variety of lexical, astronomical, religious, magic, and literary compositions, while employing patterns of argumentation that resist categorization within any single branch of knowledge. Commentators’ choices of topics and comments, however, sought to harmonize atypical language and ideas in the Handbook with conventional ways of perceiving and describing the sick body in therapeutic recipes. Scholastic rhetoric—supposedly unfettered to any discipline—served in fact as a pretext for affirming current forms of medical knowledge.
Author: James Evans
Publisher: University of Chicago Press
ISBN: 0226827887
Category : History
Languages : en
Pages : 419
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Book Description
Perceptively explores the shifting intersections between algorithmic systems and human practices in the modern era. How have algorithmic systems and human practices developed in tandem since 1800? This volume of Osiris deftly addresses the question, dispelling along the way the traditional notion of algorithmic “code” and human “craft” as natural opposites. Instead, algorithms and humans have always acted in concert, depending on each other to advance new knowledge and produce social consequences. By shining light on alternative computational imaginaries, Beyond Craft and Code opens fresh space in which to understand algorithmic diversity, its governance, and even its conservation. The volume contains essays by experts in fields extending from early modern arithmetic to contemporary robotics. Traversing a range of cases and arguments that connect politics, historical epistemology, aesthetics, and artificial intelligence, the contributors collectively propose a novel vocabulary of concepts with which to think about how the history of science can contribute to understanding today’s world. Ultimately, Beyond Craft and Code reconfigures the historiography of science and technology to suggest a new way to approach the questions posed by an algorithmic culture—not only improving our understanding of algorithmic pasts and futures but also unlocking our ability to better govern our present.
Author: Jonardon Ganeri
Publisher: Oxford University Press
ISBN: 0199314624
Category : Philosophy
Languages : en
Pages : 841
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Book Description
The Oxford Handbook of Indian Philosophy tells the story of philosophy in India through a series of exceptional individual acts of philosophical virtuosity. It brings together forty leading international scholars to record the diverse figures, movements, and approaches that constitute philosophy in the geographical region of the Indian subcontinent, a region sometimes nowadays designated South Asia. The volume aims to be ecumenical, drawing from different locales, languages, and literary cultures, inclusive of dissenters, heretics and sceptics, of philosophical ideas in thinkers not themselves primarily philosophers, and reflecting India's north-western borders with the Persianate and Arabic worlds, its north-eastern boundaries with Tibet, Nepal, Ladakh and China, as well as the southern and eastern shores that afford maritime links with the lands of Theravda Buddhism. Indian Philosophy has been written in many languages, including Pali, Prakrit, Sanskrit, Malayalam, Urdu, Gujarati, Tamil, Telugu, Bengali, Marathi, Persian, Kannada, Punjabi, Hindi, Tibetan, Arabic and Assamese. From the time of the British colonial occupation, it has also been written in English. It spans philosophy of law, logic, politics, environment and society, but is most strongly associated with wide-ranging discussions in the philosophy of mind and language, epistemology and metaphysics (how we know and what is there to be known), ethics, metaethics and aesthetics, and metaphilosophy. The reach of Indian ideas has been vast, both historically and geographically, and it has been and continues to be a major influence in world philosophy. In the breadth as well as the depth of its philosophical investigation, in the sheer bulk of surviving texts and in the diffusion of its ideas, the philosophical heritage of India easily stands comparison with that of China, Greece, the Latin west, or the Islamic world.
Author: John Z Wee
Publisher: BRILL
ISBN: 9004417567
Category : History
Languages : en
Pages : 513
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Book Description
Mesopotamian Commentaries on the Diagnostic Handbook Sa-gig is intended for specialists in cuneiform studies, and includes a cuneiform edition, English translation, and notes on medical lexicography for thirty Sa-gig commentary tablets and fragments, as well as a study on technical notations recurring in these commentaries. Within the Cuneiform Monographs series, this book represents a companion volume to Knowledge and Rhetoric in Medical Commentary (Brill, 2019).
Author: Jacqueline Feke
Publisher: Princeton University Press
ISBN: 069121039X
Category : Mathematics
Languages : en
Pages : 250
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Book Description
A stimulating intellectual history of Ptolemy's philosophy and his conception of a world in which mathematics reigns supreme The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.
