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9780262044639

Reckonings Numerals, Cognition, and History

by
  • ISBN13:

    9780262044639

  • ISBN10:

    0262044633

  • Format: Hardcover
  • Copyright: 2020-12-15
  • Publisher: The MIT Press

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Summary

Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors.

Over the past 5,000 years, more than 100 methods of numerical notation—distinct ways of writing numbers—have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.

Chrisomalis shows that numeration is a social practice. He argues that written numerals are conceptual tools that are transformed to fit the perceived needs of their users, and that the sorts of cognitive processes that affect decision-making around numerical activity are complex and involve social factors. Drawing on the triple meaning of reckon—to think, to calculate, and to judge—as a framing device, Chrisomalis argues that the history of numeral systems is best considered as a cognitive history of language, writing, mathematics, and technology.

Chrisomalis offers seven interlinked essays that are both macro-historical and cross-cultural, with a particular focus, throughout, on Roman numerals. Countering the common narrative that Roman numerals are archaic and clumsy, Chrisomalis presents examples of Roman numeral use in classical, medieval, and early modern contexts. Readers will think more deeply about written numbers as a cognitive technology that each of us uses every single day, and will question the assumption that whatever happened historically was destined to have happened, leading inevitably to the present.

Author Biography

Stephen Chrisomalis is Associate Professor of Anthropology at Wayne State University.

Table of Contents

Acknowledgements
Introduction: three reckonings
Note: On "Western numerals"
1 / I The limits of numerical cognition
2 / II Conspicuous computation
3 / III The decline and fall of the Roman numerals, I: Of screws and hammers
4 / IV The decline and fall of the Roman numerals, II: Safety in numbers
5 / V Number crunching
6 / VI How to choose a number
7 / VII To infinity and beyond?
Notes
Bibliography
Index

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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