The Anthropology of Numbers

The Anthropology of Numbers
Author: Thomas Crump
Publisher: Cambridge University Press
Total Pages: 216
Release: 1992-10-15
Genre: Mathematics
ISBN: 9780521438070

Numbers are an important feature of almost all known cultures. In this detailed anthropological study, Thomas Crump examines how people from a wide range of diverse cultures, and from different historical backgrounds, use and understand numbers. By looking at the logical, psychological and linguistic implications, he analyses how numbers operate within different contexts. The author goes on to consider the relationship of numbers to specific themes, such as ethnoscience, politics, measurement, time, money, music, games and architecture. The Anthropology of Numbers is an original contribution to scholarship, written in a clear and accessible style. It will be of interest to anthropologists who study cognition, symbolism, primitive thought and classification, and to those in adjacent disciplines of psychology, cognitive science and mathematical social science.

Numbers and the Making of Us

Numbers and the Making of Us
Author: Caleb Everett
Publisher: Harvard University Press
Total Pages: 308
Release: 2017-03-13
Genre: Language Arts & Disciplines
ISBN: 0674504437

“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal

Overlooking Nazareth

Overlooking Nazareth
Author: Dan Rabinowitz
Publisher: Cambridge University Press
Total Pages: 244
Release: 1997-01-16
Genre: History
ISBN: 9780521564953

A sophisticated and engaging ethnographic account of the Palestinian citizens of Israel, and the first since the 1970s, Overlooking Nazareth examines specific situations of friction, conflict and co-operation in Natzerat Illit. This Israeli new town is built on formerly Palestinian land, just outside the biblical town of Nazareth, and has a population of 25,000 Jewish Israelis and 3,500 Palestinians. Dr Rabinowitz has written widely on the current political situation in Israel and has conducted extensive fieldwork in Galilee, and he describes his study as a guided walk along a border, a sketch of interfaces 'where the complex, often paradoxical aspects of the border situation are negotiated and acted out most vividly'. He highlights the extent to which anti-Palestinian sentiments for which the town is known actually reflect widespread views of most Israelis. This is a major contribution to our understanding of the confrontation between Israelis and Palestinians. It offers powerful critique of reflexive anthropology and offers fresh insights into notions of ethnicity and identity, nationalism and liberalism.

Reckonings

Reckonings
Author: Stephen Chrisomalis
Publisher: MIT Press
Total Pages: 265
Release: 2020-12-15
Genre: Mathematics
ISBN: 026236087X

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.

Outline of a Theory of Practice

Outline of a Theory of Practice
Author: Pierre Bourdieu
Publisher: Cambridge University Press
Total Pages: 260
Release: 1977-06-02
Genre: Social Science
ISBN: 9780521291644

Through Pierre Bourdieu's work in Kabylia (Algeria), he develops a theory on symbolic power.

The Mystery of Numbers

The Mystery of Numbers
Author: Annemarie Schimmel
Publisher: Oxford University Press
Total Pages: 336
Release: 1994-04-07
Genre: Religion
ISBN: 0199879850

Why is the number seven lucky--even holy--in almost every culture? Why do we speak of the four corners of the earth? Why do cats have nine lives (except in Iran, where they have seven)? From literature to folklore to private superstitions, numbers play a conspicuous role in our daily lives. But in this fascinating book, Annemarie Schimmel shows that numbers have been filled with mystery and meaning since the earliest times, and across every society. In The Mystery of Numbers Annemarie Schimmel conducts an illuminating tour of the mysteries attributed to numbers over the centuries. She begins with an informative and often surprising introduction to the origins of number systems: pre-Roman Europeans, for example, may have had one based on twenty, not ten (as suggested by the English word "score" and the French word for 80, quatrevingt --four times twenty), while the Mayans had a system more sophisticated than our own. Schimmel also reveals how our fascination with numbers has led to a rich cross-fertilization of mathematical knowledge: "Arabic" numerals, for instance, were picked up by Europe from the Arabs, who had earlier adopted them from Indian sources ("Algorithm" and "algebra" are corruptions of the Arabic author and title names of a mathematical text prized in medieval Europe). But the heart of the book is an engrossing guide to the symbolism of numbers. Number symbolism, she shows, has deep roots in Western culture, from the philosophy of the Pythagoreans and Platonists, to the religious mysticism of the Cabala and the Islamic Brethren of Purity, to Kepler's belief that the laws of planetary motion should be mathematically elegant, to the unlucky thirteen. After exploring the sources of number symbolism, Schimmel examines individual numbers ranging from one to ten thousand, discussing the meanings they have had for Judaic, Christian, and Islamic traditions, with examples from Indian, Chinese, and Native American cultures as well. Two, for instance, has widely been seen as a number of contradiction and polarity, a number of discord and antithesis. And six, according to ancient and neo-platonic thinking, is the most perfect number because it is both the sum and the product of its parts (1+2+3=6 and 1x2x3=6). Using examples ranging from the Bible to the Mayans to Shakespeare, she shows how numbers have been considered feminine and masculine, holy and evil, lucky and unlucky. A highly respected scholar of Islamic culture, Annemarie Schimmel draws on her vast knowledge to paint a rich, cross-cultural portrait of the many meanings of numbers. Engaging and accessible, her account uncovers the roots of a phenomenon we all feel every Friday the thirteenth.

Fear of Small Numbers

Fear of Small Numbers
Author: Arjun Appadurai
Publisher: Duke University Press
Total Pages: 171
Release: 2006-05-24
Genre: Social Science
ISBN: 0822387549

The period since 1989 has been marked by the global endorsement of open markets, the free flow of finance capital and liberal ideas of constitutional rule, and the active expansion of human rights. Why, then, in this era of intense globalization, has there been a proliferation of violence, of ethnic cleansing on the one hand and extreme forms of political violence against civilian populations on the other? Fear of Small Numbers is Arjun Appadurai’s answer to that question. A leading theorist of globalization, Appadurai turns his attention to the complex dynamics fueling large-scale, culturally motivated violence, from the genocides that racked Eastern Europe, Rwanda, and India in the early 1990s to the contemporary “war on terror.” Providing a conceptually innovative framework for understanding sources of global violence, he describes how the nation-state has grown ambivalent about minorities at the same time that minorities, because of global communication technologies and migration flows, increasingly see themselves as parts of powerful global majorities. By exacerbating the inequalities produced by globalization, the volatile, slippery relationship between majorities and minorities foments the desire to eradicate cultural difference. Appadurai analyzes the darker side of globalization: suicide bombings; anti-Americanism; the surplus of rage manifest in televised beheadings; the clash of global ideologies; and the difficulties that flexible, cellular organizations such as Al-Qaeda present to centralized, “vertebrate” structures such as national governments. Powerful, provocative, and timely, Fear of Small Numbers is a thoughtful invitation to rethink what violence is in an age of globalization.

Working with the Anthropological Theory of the Didactic in Mathematics Education

Working with the Anthropological Theory of the Didactic in Mathematics Education
Author: Marianna Bosch
Publisher: Routledge
Total Pages: 254
Release: 2019-10-23
Genre: Education
ISBN: 0429582420

This book presents the main research veins developed within the framework of the Anthropological Theory of the Didactic (ATD), a paradigm that originated in French didactics of mathematics. While a great number of publications on ATD are available in French and Spanish, Working with the Anthropological Theory of the Didactic in Mathematics Education is the first directed at English-speaking international audiences. Written and edited by leading researchers in ATD, the book covers all aspects of ATD theory and practice, including teaching applications. The chapters feature the most relevant and recent investigations presented at the 6th international conference on the ATD, offering a unique opportunity for an international audience interested in the study of mathematics teaching and learning to keep in touch with advances in educational research. The book is divided into four sections and the contributions explore key topics such as: The core concept of ‘praxeology’, including its development and functionalities The need for new teaching praxeologies in the paradigm of questioning the world The impact of ATD on the teaching profession and the education of teachers This is the second volume in the New Perspectives on Research in Mathematics Education. This comprehensive casebook is an indispensable resource for researchers, teachers and graduate students around the world.

Anthropology and Autobiography

Anthropology and Autobiography
Author: Judith Okely
Publisher: Routledge
Total Pages: 264
Release: 1992-07-02
Genre: Social Science
ISBN: 1134941390

Anthropological writings by anthropologists in the field have long been a valuable tool to the profession. But until now, the theoretical implications of its use have not been fully explored. Anthropology and Autobiography provides unique insights into the fieldwork, autobiographical materials and/or textual critiques of anthropologists, many of whose ethnographies are already familiar. It considers the role of the anthropologist as fieldworker and writer, examining the ways in which nationality, age, gender, and personal history influence the anthropologist's behavior towards the individuals he is observing. This volume also contributes to debates about reflexivity and the political responsibility of the anthropologist, who, as a participant, has traditionally made only stylized appearances in the academic text. The contributors examine their work among peoples in Africa, Japan, the Caribbean, Greece, Shetland, England, indigenous Australia, Indonesia, and Sri Lanka. Autobiography is developed alongside political, intellectual, and historical changes. The anthropologists confront and examine issues of racism, reciprocity and friendships. Anthropology and Autobiography will appeal to anthropologists and social scientists interested in ethnographic approaches, the self, reflexivity, qualitative methodology, and the production of texts.

Numerical Notation

Numerical Notation
Author: Stephen Chrisomalis
Publisher: Cambridge University Press
Total Pages: 497
Release: 2010-01-18
Genre: Mathematics
ISBN: 0521878187

This book is a cross-cultural reference volume of all attested numerical notation systems, encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defies unilinear evolutionary models, Stephen Chrisomalis identifies five basic types of numerical notation systems, tracks relationships between systems, and creates a general model of change that incorporates social, historical, and cognitive factors.