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Books > Social sciences > Psychology > Cognition & cognitive psychology
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Visual Thinking in Mathematics (Hardcover, New)
Loot Price: R2,279
Discovery Miles 22 790
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Visual Thinking in Mathematics (Hardcover, New)
Expected to ship within 10 - 15 working days
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Visual thinking -- visual imagination or perception of diagrams and
symbol arrays, and mental operations on them -- is omnipresent in
mathematics. Is this visual thinking merely a psychological aid,
facilitating grasp of what is gathered by other means? Or does it
also have epistemological functions, as a means of discovery,
understanding, and even proof? By examining the many kinds of
visual representation in mathematics and the diverse ways in which
they are used, Marcus Giaquinto argues that visual thinking in
mathematics is rarely just a superfluous aid; it usually has
epistemological value, often as a means of discovery. Drawing from
philosophical work on the nature of concepts and from empirical
studies of visual perception, mental imagery, and numerical
cognition, Giaquinto explores a major source of our grasp of
mathematics, using examples from basic geometry, arithmetic,
algebra, and real analysis. He shows how we can discern abstract
general truths by means of specific images, how synthetic a priori
knowledge is possible, and how visual means can help us grasp
abstract structures.
Visual Thinking in Mathematics reopens the investigation of
earlier thinkers from Plato to Kant into the nature and
epistemology of an individual's basic mathematical beliefs and
abilities, in the new light shed by the maturing cognitive
sciences. Clear and concise throughout, it will appeal to scholars
and students of philosophy, mathematics, and psychology, as well as
anyone with an interest in mathematical thinking.
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