Metaphorical motion in mathematical reasoning: further evidence for pre-motor implementation of structure mapping in abstract domains

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• 作者：Chris Fields (1)
  
• 关键词：Analogy ; Category theory ; Computation ; Embodied cognition ; Event files ; Parietal cortex
• 刊名：Cognitive Processing
• 出版年：2013
• 出版时间：August 2013
• 年：2013
• 卷：14
• 期：3
• 页码：217-229
• 全文大小：285KB
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• 作者单位：Chris Fields (1)
  
  1. 815 East Palace Ave. #14, Santa Fe, NM, 87501, USA
  
• ISSN：1612-4790

文摘

The theory of computation and category theory both employ arrow-based notations that suggest that the basic metaphor “state changes are like motions-plays a fundamental role in all mathematical reasoning involving formal manipulations. If this is correct, structure-mapping inferences implemented by the pre-motor action planning system can be expected to be involved in solving any mathematics problems not solvable by table lookups and number line manipulations alone. Available functional imaging studies of multi-digit arithmetic, algebra, geometry and calculus problem solving are consistent with this expectation.