Abstract
A main tenet of this book is that the idea-structure for many puzzles typically originates in the imagination (a right-hemispheric function) and then migrates, via a cognitive flow, to embed itself into the reasoning and generalizing part of the brain (a left-hemispheric function). The imagination defies a precise definition; that is, we cannot pin it down to a clear semantic explication. One of its most basic functions is to conjure up images in the mind and connect them in some meaningful way to allow people to accomplish particular tasks, such as solving problems in geometry. This primary level of imagination now comes under the rubric of “spatial reasoning,” a term that can be traced to Howard Gardner’s work on what he called “multiple intelligences” in 1983, in contrast to the idea of a single general form of intelligence. Gardner identified eight intelligences:
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1.
Musical-rhythmic
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2.
Visual-spatial
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3.
Verbal-linguistic
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4.
Logical-mathematical
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5.
Bodily kinesthetic
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6.
Interpersonal
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7.
Intrapersonal
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8.
Naturalistic
Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.
—Friedrich Nietzsche (1844–1900)
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Danesi, M. (2018). Puzzles and Spatial Reasoning. In: Ahmes’ Legacy. Mathematics in Mind. Springer, Cham. https://doi.org/10.1007/978-3-319-93254-5_4
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