Numbers Language And The Human Mind
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Author | : Heike Wiese |
Publisher | : Cambridge University Press |
Total Pages | : 360 |
Release | : 2009-04-09 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780521108652 |
What constitutes our concept of numbers and makes it possible for us to work with them the way we do? Which mental faculties contribute to our grasp? What qualities do we share with other species, and which ones are specific to us? This book addresses these questions to reveal that language plays a crucial role in the development of systematic number concepts. It analyzes the relationship between numerical thinking and the human language faculty, providing psychological, linguistic, and philosophical perspectives on numbers, their evolution, and development in children.
Author | : Heike Wiese |
Publisher | : Cambridge University Press |
Total Pages | : 360 |
Release | : 2003-12-11 |
Genre | : Language Arts & Disciplines |
ISBN | : 1139438972 |
What constitutes our number concept? What makes it possible for us to employ numbers the way we do; which mental faculties contribute to our grasp of numbers? What do we share with other species, and what is specific to humans? How does our language faculty come into the picture? This 2003 book addresses these questions and discusses the relationship between numerical thinking and the human language faculty, providing psychological, linguistic and philosophical perspectives on number, its evolution and its development in children. Heike Wiese argues that language as a human faculty plays a crucial role in the emergence of systematic numerical thinking. She characterises number sequences as powerful and highly flexible mental tools that are unique to humans and shows that it is language that enables us to go beyond the perception of numerosity and to develop such mental tools.
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
Author | : Stanislas Dehaene |
Publisher | : OUP USA |
Total Pages | : 339 |
Release | : 2011-04-29 |
Genre | : Mathematics |
ISBN | : 0199753873 |
"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"--Provided by publisher.
Author | : Barbara A. Oakley |
Publisher | : TarcherPerigee |
Total Pages | : 338 |
Release | : 2014-07-31 |
Genre | : Mathematics |
ISBN | : 039916524X |
Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.
Author | : Daniel Tammet |
Publisher | : Little, Brown Spark |
Total Pages | : 240 |
Release | : 2013-07-30 |
Genre | : Mathematics |
ISBN | : 0316250805 |
The irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers" (Oliver Sacks, MD). Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired variously by the complexity of snowflakes, Anne Boleyn's eleven fingers, and his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. His provocative and inspiring new book will change the way you think about math and fire your imagination to view the world with fresh eyes.
Author | : Fumiya Iida |
Publisher | : Springer Science & Business Media |
Total Pages | : 340 |
Release | : 2004-07-08 |
Genre | : Computers |
ISBN | : 354022484X |
Originating from a Dagstuhl seminar, the collection of papers presented in this book constitutes on the one hand a representative state-of-the-art survey of embodied artificial intelligence, and on the other hand the papers identify the important research trends and directions in the field. Following an introductory overview, the 23 papers are organized into topical sections on - philosophical and conceptual issues - information, dynamics, and morphology - principles of embodiment for real-world applications - developmental approaches - artificial evolution and self-reconfiguration
Author | : Stanislas Dehaene |
Publisher | : Academic Press |
Total Pages | : 374 |
Release | : 2011-07-13 |
Genre | : Psychology |
ISBN | : 0123859492 |
The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. - The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition - Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field - Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields
Author | : Steven Pinker |
Publisher | : W. W. Norton & Company |
Total Pages | : 673 |
Release | : 2009-06-02 |
Genre | : Medical |
ISBN | : 0393334775 |
Explains what the mind is, how it evolved, and how it allows us to see, think, feel, laugh, interact, enjoy the arts, and ponder the mysteries of life.
Author | : Caleb Everett |
Publisher | : Harvard University Press |
Total Pages | : 308 |
Release | : 2017-03-13 |
Genre | : Social Science |
ISBN | : 0674979141 |
“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