A perceptual account of symbolic reasoning

People can be taught to manipulate symbols according to formal mathematical and logical rules. Cognitive scientists have traditionally viewed this capacity—the capacity for symbolic reasoning—as grounded in the ability to internally represent numbers, logical relationships, and mathematical rules i...

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Main Authors: David eLandy, Colin eAllen, Carlos eZednik
Format: Article
Language:English
Published: Frontiers Media S.A. 2014-04-01
Series:Frontiers in Psychology
Subjects:
Online Access:http://journal.frontiersin.org/Journal/10.3389/fpsyg.2014.00275/full
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spelling doaj-3cce5e7127934cc6b57ff4726006486a2020-11-24T23:24:28ZengFrontiers Media S.A.Frontiers in Psychology1664-10782014-04-01510.3389/fpsyg.2014.0027578400A perceptual account of symbolic reasoningDavid eLandy0Colin eAllen1Carlos eZednik2Indiana UniversityIndiana UniversityUniversity of OsnabrückPeople can be taught to manipulate symbols according to formal mathematical and logical rules. Cognitive scientists have traditionally viewed this capacity—the capacity for symbolic reasoning—as grounded in the ability to internally represent numbers, logical relationships, and mathematical rules in an abstract, amodal fashion. We present an alternative view, portraying symbolic reasoning as a special kind of embodied reasoning in which arithmetic and logical formulae, externally represented as notations, serve as targets for powerful perceptual and sensorimotor systems. Although symbolic reasoning often conforms to abstract mathematical principles, it is typically implemented by perceptual and sensorimotor engagement with concrete environmental structures.http://journal.frontiersin.org/Journal/10.3389/fpsyg.2014.00275/fullMathematicsPerceptionEmbodied CognitionHuman Reasoningformal logic
collection DOAJ
language English
format Article
sources DOAJ
author David eLandy
Colin eAllen
Carlos eZednik
spellingShingle David eLandy
Colin eAllen
Carlos eZednik
A perceptual account of symbolic reasoning
Frontiers in Psychology
Mathematics
Perception
Embodied Cognition
Human Reasoning
formal logic
author_facet David eLandy
Colin eAllen
Carlos eZednik
author_sort David eLandy
title A perceptual account of symbolic reasoning
title_short A perceptual account of symbolic reasoning
title_full A perceptual account of symbolic reasoning
title_fullStr A perceptual account of symbolic reasoning
title_full_unstemmed A perceptual account of symbolic reasoning
title_sort perceptual account of symbolic reasoning
publisher Frontiers Media S.A.
series Frontiers in Psychology
issn 1664-1078
publishDate 2014-04-01
description People can be taught to manipulate symbols according to formal mathematical and logical rules. Cognitive scientists have traditionally viewed this capacity—the capacity for symbolic reasoning—as grounded in the ability to internally represent numbers, logical relationships, and mathematical rules in an abstract, amodal fashion. We present an alternative view, portraying symbolic reasoning as a special kind of embodied reasoning in which arithmetic and logical formulae, externally represented as notations, serve as targets for powerful perceptual and sensorimotor systems. Although symbolic reasoning often conforms to abstract mathematical principles, it is typically implemented by perceptual and sensorimotor engagement with concrete environmental structures.
topic Mathematics
Perception
Embodied Cognition
Human Reasoning
formal logic
url http://journal.frontiersin.org/Journal/10.3389/fpsyg.2014.00275/full
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