This book provides a way to understand a momentous development in human intellectual history: the phenomenon of deductive argument in classical Greek mathematics. The argument rests on a close description of the practices of Greek mathematics, principally the use of lettered diagrams and the regulated, formulaic use of language.
The Shaping of Deduction in Greek Mathematics
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Editorial Reviews
Review
"Reviel Netz has written a stimulating book about diagrams and mathematics, telling us facts that we all know, but hardly ever thought of." MAA Online
"...a novel work...Greek intellectual culture will be of interest to many classicists...Netz has made an important contribution to intellectual history and has asked a diverse set of questions whose answers, while difficult, will broaden our understanding of the development of deductive practices." Daryn Lehoux, University of Toronto
"Netz's book has made this reviewer look at Greek mathematics with new eyes, and it will certainly provoke further thought and discussion. Netz is to be thanked for a stimulating contribution to an important topic." Isis
"It's a first-contribution to intellectual history... also an enjoyable book....The Shaping of Deduction in Greek Mathematics will be of interest, not just to historians of mathematics, but to mathematicians and philosophers seeking to understand the aims and achievements of mathematics today." Philosophia Mathematica
"...a novel work...Greek intellectual culture will be of interest to many classicists...Netz has made an important contribution to intellectual history and has asked a diverse set of questions whose answers, while difficult, will broaden our understanding of the development of deductive practices." Daryn Lehoux, University of Toronto
"Netz's book has made this reviewer look at Greek mathematics with new eyes, and it will certainly provoke further thought and discussion. Netz is to be thanked for a stimulating contribution to an important topic." Isis
"It's a first-contribution to intellectual history... also an enjoyable book....The Shaping of Deduction in Greek Mathematics will be of interest, not just to historians of mathematics, but to mathematicians and philosophers seeking to understand the aims and achievements of mathematics today." Philosophia Mathematica
Book Description
This book provides a way into understanding a momentous development in human intellectual history: the phenomenon of deductive argument in classical Greek mathematics. The argument rests upon a close description of the practices of Greek mathematics, principally the use of lettered diagrams and the regulated, formulaic use of language.
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This review is from: The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History (Ideas in Context) (Hardcover)
Cool book. An academic book, a textbook, written by someone who has compelling thoughts - and who knows how to write. I'm reading everything I can by this author. It's like having a conversation with an exceptional person. You're glad you went to the party. :)
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Inside This Book
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First Sentence:
That diagrams play a crucial role in Greek mathematics is a fact often alluded to in the modern literature, but little discussed. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
argumentation formulae, mathematical lexicon, lettered diagram, object formulae, construction formulae, predicate formulae, grid arguments, lettered objects, semantic markedness, explicit codification, single premiss, ritualised friendship, cognitive history, proportion theory, unequal segments, mathematical case, mathematical diagrams, papyrological evidence, logical connectors, genitive absolute, mathematical texts, mathematical discourse, hapax legomena Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclid's Elements, Hippocrates of Chios, Euclid's Data, Hellenistic Greek, Ellipse Case, Moving Sphere, Aristotle's Meteorology New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
That diagrams play a crucial role in Greek mathematics is a fact often alluded to in the modern literature, but little discussed. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
argumentation formulae, mathematical lexicon, lettered diagram, object formulae, construction formulae, predicate formulae, grid arguments, lettered objects, semantic markedness, explicit codification, single premiss, ritualised friendship, cognitive history, proportion theory, unequal segments, mathematical case, mathematical diagrams, papyrological evidence, logical connectors, genitive absolute, mathematical texts, mathematical discourse, hapax legomena Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclid's Elements, Hippocrates of Chios, Euclid's Data, Hellenistic Greek, Ellipse Case, Moving Sphere, Aristotle's Meteorology New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 82
books:
See all 82 books this book cites
7
books
cite this book:
See all 7 books citing this book
- The Modularity of Mind by Jerry A. Fodor in Front Matter (1), Front Matter (2), and Back Matter
- The Structure of Scientific Revolutions by Thomas S. Kuhn in Front Matter (1), and Front Matter (2)
- Interpretation and Meaning in the Renaissance: The Case of Law (Ideas in Context) by Ian Maclean in Back Matter
- A. E. Housman: Selected Prose by A. E. Housman in Back Matter
- Ritual Process, The: Structure and Anti-Structure by Victor Turner in Back Matter
See all 82 books this book cites
- Visualization, Explanation and Reasoning Styles in Mathematics (Synthese Library) by P. Mancosu in Front Matter, page 120, and Back Matter
- The Transformation of Mathematics in the Early Mediterranean World: From Problems to Equations (Cambridge Classical Studies) by Reviel Netz in Back Matter
- Science and Mathematics in Ancient Greek Culture by Lewis Wolpert in Back Matter
- Sherlock Holmes in Babylon and Other Tales of Mathematical History (Spectrum) by Marlow Anderson on page 26
- The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder: Translation and Commentary by Archimedes in Front Matter
See all 7 books citing this book
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