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By Reviel Netz

This ebook presents the way to comprehend a momentous improvement in human highbrow heritage: the phenomenon of deductive argument in classical Greek arithmetic. The argument rests on an in depth description of the practices of Greek arithmetic, largely using lettered diagrams and the regulated, formulaic use of language.

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First released  revealed within the uk on the collage Press, Cambridge Typeset in /Apt Baskerville No.  [] a listing list for this e-book is accessible from the British Library Library of Congress cataloguing in booklet facts Netz, Reviel. The shaping of deduction in Greek arithmetic: a research in cognitive background / Reviel Netz. p. cm. – (Ideas in context; ) contains bibliographical references and index.      (hardback) . arithmetic, Greek. . common sense. . identify. . sequence. .   ′. –dc –       hardback To Maya  Abbreviations This web page deliberately Left clean Contents Preface record of abbreviations The Greek alphabet notice at the figures web page xi xiii xvi xvii advent  A specimen of Greek arithmetic   The lettered diagram   The pragmatics of letters   The mathematical lexicon   Formulae   The shaping of necessity   The shaping of generality    The ancient atmosphere Appendix: the most Greek mathematicians stated within the ebook  Bibliography Index   ix  Abbreviations This web page deliberately Left clean Preface This e-book was once conceived in Tel Aviv college and written within the collage of Cambridge. I loved the variation among the 2, and am thankful to either. The query one is customarily requested approximately Greek arithmetic is: ‘Is there whatever left to assert? ’ certainly, a lot has been written. within the past due 19th century, nice students did an attractive paintings in enhancing the texts and establishing the fundamental historic and mathematical framework. yet even if the fabrics for a ancient knowing have been there, just about all the interpretations of Greek arithmetic provided ahead of approximately  have been both wildly speculative or ahistorical. within the final twenty years or so, the cloth has eventually come to lifestyles. A small yet hugely efficient foreign group of students has manage new criteria of precision. The examine of Greek arithmetic at the present time may be rigorous in addition to interesting. i can't identify right here the person students to whom i'm indebted. yet i will – i am hoping – identify this small neighborhood of students as a 3rd establishment to which I belong, simply as I belong to Tel Aviv and to Cambridge. back i will merely convey my gratitude. So i've got had many academics. a few have been mathematicians, so much weren't. it's not that i am a mathematician, and this ebook calls for no wisdom of arithmetic (and in simple terms hardly does it call for a few wisdom of Greek). Readers may well suppose i don't pressure sufficiently the worth of Greek arithmetic by way of mathematical content material. i need to apologise – I owe this apology to the Greek mathematicians themselves. I learn shape instead of content material, partially simply because I see the research of shape as a manner into knowing the content material. yet this content material – these discoveries and proofs made via Greek mathematicians – are either appealing and seminal. If I say much less approximately those achievements, reason why i've got seemed in other places, now not simply because my appreciation of them isn't as prepared correctly.

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