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overmann k materiality numbers emergence elaboration 2023

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Textbook in PDF format This is a book about numbers—what they are as concepts and how and why they originate—as viewed through the material devices used to represent and manipulate them. Fingers, tallies, tokens, and written notations, invented in both ancestral and contemporary societies, explain what numbers are, why they are the way they are, and how we get them. Cognitive archaeologist Karenleigh A. Overmann is the first to explore how material devices contribute to numerical thinking, initially by helping us to visualize and manipulate the perceptual experience of quantity that we share with other species. She explores how and why numbers are conceptualized and then elaborated, as well as the central role that material objects play in both processes. Overmann's volume thus offers a view of numerical cognition that is based on an alternative set of assumptions about numbers, their material component, and the nature of the human mind and thinking. Figures Tables Acknowledgments Foreword Preface Numbers in a Nutshell What Numbers Are as Concepts The Working Definition of Number Analyzing Numbers through an Existing Familiarity Who Has Numbers? And Do We All Have the Same Numbers? Variability between Cultural Number Systems Explaining Cross-Cultural Variability Change within Any Particular Cultural Tradition Are Numbers Ever the Same, and If So, How Are They the Same? Converging Perspectives on Numbers Historical Ideas about Where Numbers Come From Four Recent Models of Numerical Origins Historical Change in How We Study Number Systems The Contributions and Challenges of Archaeology The Brain in Numbers Numerosity, the Innate Sense of Quantity Categorization and Abstraction The Mental Number Line The Parietal Lobe and Numbers The Cerebellum and Numbers Finger-Counting and the Brain Bodies and Behaviors How Numbers Emerge and the Roles of the Fingers How Using the Fingers Patterns Numerical Structure and Language Finger-Counting in Proto-Languages The Visual Experience of the Hand Movement and Material Engagement Counting Behaviors When Numbers Are Few Language in Numbers What Language Reveals about Numbers Lexical Numbers, Finger-Counting, and Analyzability Evidence for Numerosity in Ancient Languages Numerical Organization and Structure Necessary and Sufficient Conditions Global and Regional Patterns The Global Pattern: Numerical Emergence and Prehistoric Migration The Regional Pattern: Numerical Elaboration and Socio- Material Complexity Cultural Analogies Materiality in Numbers Recruiting New Devices as the Mechanism of Numerical Elaboration Representing and Manipulating Materially Anchored Conceptual Blending General Effects of Material Culture Materiality in Cognition Cognition Is Extended and Enactive Materiality Has Agency Enactive Signification Sustained Collaboration, Common Creativity Making Quantity Tangible and Manipulable Gaining Control of Quantity Percepts The Instrumental Body Using the Hand as a Material Device for Counting The Hand’s Influence on Verbal Expressions Finger-Counting Age Tallies and Other Devices That Accumulate Devices That Accumulate Tallying and Numerical Organization and Structure Taking Up the Material (Noncorporeal) Tally Tokenization Tallying without Words Interpreting Prehistoric Artifacts Mark-Making and Prehistoric Numbers Archaeological Techniques for Interpreting Prehistoric Marks A Cautionary Tale: The Australian Message Sticks Interpreting Palaeolithic Artifacts as Possible Tallies Functional Considerations Devices That Accumulate and Group The Inka Counting Board Oceanian Counting by Sorting and the “Ephemeral Abacus” The Yoruba Cowrie Abacus Handwritten Notations Contiguity of Function between Numerical Notations and Precursor Technologies Differences between Written Numbers and Writing for Nonnumerical Language What Writing – Numerical and Not – Adds to Numbers Major Trends The Materiality of Numbers Future Directions in Research A Final Thought References Index

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overmann k materiality numbers emergence elaboration 2023