
This study explores how human societies first came to understand and use numbers, tracing the idea from its earliest traces in primitive languages to the more elaborate counting systems that later cultures developed. Drawing on a wide range of original sources, the author examines the limited numeral vocabularies of remote tribes—some recognizing only “one” and “two,” others lacking any specific number words at all—and shows how even these modest systems reveal an innate sense of quantity.
The book also surveys the diverse numeral structures that have arisen across the world, from binary and quinary schemes to the richer decimal traditions that dominate today. By focusing on cardinal numbers and presenting an extensive collection of examples, it offers readers a clear picture of the ways cultures have grappled with counting, while acknowledging the limits of what can ever be known about the very first moments when numbers entered human thought.
Language
en
Duration
~4 hours (280K characters)
Publisher of text edition
Project Gutenberg
Credits
Produced by Jonathan Ingram, Hagen von Eitzen and the Online Distributed Proofreading Team at https://www.pgdp.net
Release date
2005-08-05
Rights
Public domain in the USA.
Subjects
1857–1916
Best remembered as a mathematician, teacher, and academic leader at Worcester Polytechnic Institute, he also wrote clearly for general readers about how people count and name numbers. His 1896 book The Number Concept helped connect mathematics with language and culture in a way that still feels fresh.
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