2012
DOI: 10.1080/02643294.2012.707122
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The origins and structure of quantitative concepts

Abstract: ‘Number’ is the single most influential quantitative dimension in modern human society. It is our preferred dimension for keeping track of almost everything including distance, weight, time, temperature, and value. How did ‘number’ become psychologically affiliated with all of these different quantitative dimensions? Humans and other animals process a broad range of quantitative information across many psychophysical dimensions and sensory modalities. The fact that adults can rapidly translate one dimension (e… Show more

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Cited by 35 publications
(34 citation statements)
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References 147 publications
(177 reference statements)
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“…These observations are consistent with the existence of a shared analog code or generalized magnitude representation (Holyoak & Glass, 1978; Gallistel & Gelman, 2000; Walsh, 2003; Pinel, Piazza, Le Bihan, & Dehaene, 2004; see Cohen Kadosh, Lammertyn, & Izard, 2008; Bueti & Walsh, 2009; Cantlon, Platt, & Brannon, 2009; Bonn & Cantlon, 2012; and Lourenco, 2015 for extensive reviews). However, the shared-code hypothesis remains underspecified because the existing data has not revealed much about the code’s internal structure.…”
Section: Introductionsupporting
confidence: 75%
See 1 more Smart Citation
“…These observations are consistent with the existence of a shared analog code or generalized magnitude representation (Holyoak & Glass, 1978; Gallistel & Gelman, 2000; Walsh, 2003; Pinel, Piazza, Le Bihan, & Dehaene, 2004; see Cohen Kadosh, Lammertyn, & Izard, 2008; Bueti & Walsh, 2009; Cantlon, Platt, & Brannon, 2009; Bonn & Cantlon, 2012; and Lourenco, 2015 for extensive reviews). However, the shared-code hypothesis remains underspecified because the existing data has not revealed much about the code’s internal structure.…”
Section: Introductionsupporting
confidence: 75%
“…From this point of view, a single magnitude system may be unsuitable for solving many different types of information-integration problems. Subjects may use all of the above representations and computational strategies across the different tasks they encounter in the environment, including ratio-scaled comparisons, direct mappings between absolute magnitudes, statistical inference in cue integration, and analogical reasoning (Bonn & Cantlon, 2012). Thus, the so-called “generalized magnitude system” may not be one coherent representational system, but rather a set of relational mapping phenomena.…”
Section: Discussionmentioning
confidence: 99%
“…Recently, a growing body of results has supported the idea that the left-right axis is a relevant spatial reference in order to metaphorically understand continuous abstract concepts. Indeed, mapping between such an axis and concepts such as numbers, time, and even politics is now strongly supported (Casasanto & Boroditsky, 2008;Dehaene, Bossini, & Giraux, 1993;Oppenheimer & Trail, 2010;Ren, Nicholls, Ma, & Chen, 2011; for recent reviews, see Bonn & Cantlon, 2012;Dijkstra, Eerland, Zijlmans, & Post, 2014;Winter et al, 2015). Together with our present results regarding the concept of valence, we assume the possibility that humans could have a kind of general tendency to represent continuous abstract concepts via the metaphor of a left-right continuum.…”
Section: Discussionsupporting
confidence: 50%
“…Brightness, while not usually described as being part of this group of dimensions, can elicit similar kinds of interference at the perceptual level (Xuan et al, 2007; Westheimer, 2008). In a recent review, Bonn and Cantlon (2012) described two main models to account for the links between the representational systems for multiple continuous dimensions of magnitude. On one hand, one can postulate the existence of an amodal (“adimensional,” as suggested by the authors) higher level of representation.…”
Section: Discussionmentioning
confidence: 99%