Making SNAP Judgments: Rethinking the Spatial Representation of Number

Interactions between number and space, exemplified by the SNARC (Spatial-Numerical Association of Response Codes) effect, are often taken as evidence for a privileged spatial representation of number. Naturally, research on the spatial representation of number has typically focused on spatial tasks. But in order to make inferences about numerical cognition more generally, one must take care to tease apart spatial mental representation from spatial action. The present study asked participants to judge the relative magnitude of numbers, and to respond by producing sounds of different pitches. There was a significant interaction between pitch and number magnitude, analogous to the interaction between space and number: participants were faster to produce “high” pitches in response to “high” numbers. Moreover, the strength of this effect was unrelated to the strength of the traditional SNARC. We argue that these results undermine the privileged status of space as a representational substrate for number.

[1]  S. Dehaene,et al.  Interactions between number and space in parietal cortex , 2005, Nature Reviews Neuroscience.

[2]  Bruno L. Giordano,et al.  Spatial representation of pitch height: the SMARC effect , 2006, Cognition.

[3]  G. Lakoff,et al.  Metaphors We Live by , 1982 .

[4]  Robert A. Reeve,et al.  Spatial Representations Are Specific to Different Domains of Knowledge , 2009, PloS one.

[5]  Rafael Núñez,et al.  Numbers and Arithmetic: Neither Hardwired Nor Out There , 2009 .

[6]  J. Hummel,et al.  Why spatial-numeric associations aren't evidence for a mental number line , 2008 .

[7]  K. McRae,et al.  Proceedings of the 30th Annual Conference of the Cognitive Science Society. , 2008 .

[8]  W. Fias The Importance of Magnitude Information in Numerical Processing: Evidence from the SNARC Effect , 1996 .

[9]  Jean-Philippe van Dijck,et al.  Numbers are associated with different types of spatial information depending on the task , 2009, Cognition.

[10]  C. Umilta,et al.  How to cook a SNARC? Space may be the critical ingredient, after all: A comment on Fischer, Mills, and Shaki (2010) , 2011, Brain and Cognition.

[11]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[12]  Rafael Núñez,et al.  No Innate Number Line in the Human Brain , 2011 .

[13]  W. Gevers,et al.  The SNARC effect does not imply a mental number line , 2008, Cognition.

[14]  Martin H. Fischer,et al.  How to cook a SNARC: Number placement in text rapidly changes spatial–numerical associations , 2010, Brain and Cognition.

[15]  Yang Seok Cho,et al.  Polarity correspondence: A general principle for performance of speeded binary classification tasks. , 2006, Psychological bulletin.

[16]  Avishai Henik,et al.  Mental representation: What can pitch tell us about the distance effect? , 2008, Cortex.

[17]  David Kirsh,et al.  The Intelligent Use of Space , 1995, Artif. Intell..

[18]  Michael L. Anderson Neural reuse: A fundamental organizational principle of the brain , 2010, Behavioral and Brain Sciences.

[19]  S. Dehaene,et al.  The mental representation of parity and number magnitude. , 1993 .

[20]  R. Núñez,et al.  Squeezing, striking, and vocalizing: Is number representation fundamentally spatial? , 2011, Cognition.

[21]  M. H. Fischer,et al.  The Future for Snarc Could Be Stark… , 2006, Cortex.

[22]  Vincent Walsh A theory of magnitude: common cortical metrics of time, space and quantity , 2003, Trends in Cognitive Sciences.