Late Antiquity and the Middle Ages were characterized by a culture of books-referring-to-other-books what I call a deuteronomic culture. This emphasized ordering and arranging previously given science: that is, it emphasized the systematic features of science.
Early Greek mathematics,on the other hand, was more interested in the unique properties of isolated problems. The emphasis on the systematic led to an emphasis on the relations between concepts, giving rise to the features we associate with 'algebra' ".
As expected, Netz's historiography is controversial. Acerbi's very long review of the book disputes Netz's translations and even parsing of the sources, and criticizes him for " unsatisfactory command and highly tendentious use of primary sources and of secondary literature, unwarranted resort to overgeneralization and to modern mathematical concepts Despite praising the book for " fascinating and deep theses, brilliant argumentation, an unmistakably flamboyant style, lucid and rhetorically very effective expositions of the difficult proofs presented, wide-ranging interpretative perspectives, and refined tools of analysis " he calls it "utterly disappointing" because in his opinion Netz adjusts facts to fit his picture of historical development.
Acerbi's conclusion is:" The main thesis itself is a true masterpiece of interpretative insight; yet, I believe, it is simply not supported by the textual evidence adduced. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered.
Reviel Netz's views on geometric algebra Ask Question. Asked 3 years, 8 months ago.
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From a practice of mathematics based on the localized solution we see a transition to a practice of mathematics based on the systematic approach. With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics.
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Cognitive Stories and the Image of Mathematics. From Archimedes to Omar R. Cambridge: Cambridge University Press, ISBN: Cleary - - The Classical Review 55 02 Reviel Netz - - Science in Context 16 3. The Last Magic. William Dembski - manuscript.
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The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution and grounded in the polemical practices of early Greek science we see a transition to a practice of mathematics based on the systematic approach and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages.
With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics. Acerca de Sinopsis: This book analyzes the historical transformation of early mathematics, from a Greek practice based on the localized solution to an Islamic practice based on the systematic approach.
Related The Transformation of Mathematics in the Early Mediterranean World: From Problems to Equations
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