Are numbers special? The comparison systems of the human brain investigated by fMRI

Many studies have suggested that the intraparietal sulcus (IPS), particularly in the dominant hemisphere, is crucially involved in numerical comparisons. However, this parietal structure has been found to be involved in other tasks that require spatial processing or visuospatial attention as well. fMRI was used to investigate three different magnitude comparisons in an event-related-block design: (a) Which digit is larger in numerical value (e.g., 2 or 5)? (b) Which digit is brighter (e.g., 3 or 3)? (c) Which digit is physically larger (e.g., 3 or 3)? Results indicate a widespread cortical network including a bilateral activation of the intraparietal sulci for all different comparisons. However, by computing contrasts of brain activation between the respective comparison conditions and applying a cortical distance effect as an additional criterion, number-specific activation was revealed in left IPS and right temporal regions. These results indicate that there are both commonalities and differences in the spatial layout of the brain systems for numerical and physical comparisons and that especially the left IPS, while involved in magnitude comparison in general, plays a special role in number comparison.

[1]  W. Singer,et al.  Distributed cortical systems in visual short-term memory revealed by event-related functional magnetic resonance imaging. , 2002, Cerebral cortex.

[2]  S. Dehaene.  Single-Neuron Arithmetic , 2002, Science.

[3]  J. Tanji,et al.  Numerical representation for action in the parietal cortex of the monkey , 2002, Nature.

[4]  H. Wiese.  Iconic and non-iconic stages in number development: the role of language , 2003, Trends in Cognitive Sciences.

[5]  S. Dehaene,et al.  Abstract representations of numbers in the animal and human brain , 1998, Trends in Neurosciences.

[6]  E. Spelke,et al.  The construction of large number representations in adults , 2003, Cognition.

[7]  Richard F. Gunst,et al.  Applied Regression Analysis , 1999, Technometrics.

[8]  Michael I. Posner,et al.  Imaging a science of mind , 2003, Trends in Cognitive Sciences.

[9]  A. T. Welford,et al.  THE MEASUREMENT OF SENSORY-MOTOR PERFORMANCE : SURVEY AND REAPPRAISAL OF TWELVE YEARS' PROGRESS , 1960 .

[10]  C. Gallistel,et al.  Non-verbal numerical cognition: from reals to integers , 2000, Trends in Cognitive Sciences.

[11]  G. Orban,et al.  Parietal Representation of Symbolic and Nonsymbolic Magnitude , 2003, Journal of Cognitive Neuroscience.

[12]  Leslie G. Ungerleider,et al.  Distributed representation of objects in the human ventral visual pathway. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Andreas Nieder,et al.  A parieto-frontal network for visual numerical information in the monkey. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[14]  A. Henik,et al.  Is three greater than five: The relation between physical and semantic size in comparison tasks , 1982, Memory & cognition.

[15]  ROBERT S. MOYER,et al.  Time required for Judgements of Numerical Inequality , 1967, Nature.

[16]  M. Thioux,et al.  Neuroanatomical Substrates of Arabic Number Processing, Numerical Comparison, and Simple Addition: A PET Study , 2000, Journal of Cognitive Neuroscience.

[17]  D. Heeger,et al.  Linear Systems Analysis of Functional Magnetic Resonance Imaging in Human V1 , 1996, The Journal of Neuroscience.

[18]  Richard S. J. Frackowiak,et al.  Brain activity during reading. The effects of exposure duration and task. , 1994, Brain : a journal of neurology.

[19]  Stanislas Dehaene,et al.  The neural basis of the Weber–Fechner law: a logarithmic mental number line , 2003, Trends in Cognitive Sciences.

[20]  Philippe Pinel,et al.  Distributed and Overlapping Cerebral Representations of Number, Size, and Luminance during Comparative Judgments , 2004, Neuron.

[21]  Talma Hendler,et al.  Center–periphery organization of human object areas , 2001, Nature Neuroscience.

[22]  K. Priftis,et al.  Brain damage: Neglect disrupts the mental number line , 2002, Nature.

[23]  S. Dehaene,et al.  Event-related fMRI analysis of the cerebral circuit for number comparison. , 1999, Neuroreport.

[24]  M. Torrens.  Co-Planar Stereotaxic Atlas of the Human Brain—3-Dimensional Proportional System: An Approach to Cerebral Imaging, J. Talairach, P. Tournoux. Georg Thieme Verlag, New York (1988), 122 pp., 130 figs. DM 268 , 1990 .

[25]  Avishai Henik,et al.  A common representation for semantic and physical properties: a cognitive-anatomical approach. , 2006, Experimental psychology.

[26]  Lisa Cipolotti,et al.  Are multiplication facts implemented by the left supramarginal and angular gyri? , 2002, Neuropsychologia.

[27]  Marco Zorzi,et al.  A Computational Model of Number Comparison , 2020, Proceedings of the Twenty First Annual Conference of the Cognitive Science Society.

[28]  D. Le Bihan,et al.  Distinct Cortical Areas for Names of Numbers and Body Parts Independent of Language and Input Modality , 2000, NeuroImage.

[29]  Anja Ischebeck,et al.  On the relative speed account of number-size interference in comparative judgments of numerals. , 2003, Journal of experimental psychology. Human perception and performance.

[30]  T. Simon,et al.  The foundations of numerical thinking in a brain without numbers , 1999, Trends in Cognitive Sciences.

[31]  R. Malach,et al.  The topography of high-order human object areas , 2002, Trends in Cognitive Sciences.

[32]  Stanislas Dehaene,et al.  Cerebral Pathways for Calculation: Double Dissociation between Rote Verbal and Quantitative Knowledge of Arithmetic , 1997, Cortex.

[33]  K. Kiehl,et al.  Neural pathways involved in the processing of concrete and abstract words , 1999, Human brain mapping.

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

[35]  M. Farah,et al.  Role of left inferior prefrontal cortex in retrieval of semantic knowledge: a reevaluation. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[36]  Avishai Henik,et al.  Automatic and intentional processing of numerical information , 1992 .

[37]  D. LeBihan,et al.  Modulation of Parietal Activation by Semantic Distance in a Number Comparison Task , 2001, NeuroImage.

[38]  C. Gallistel,et al.  Preverbal and verbal counting and computation , 1992, Cognition.

[39]  J. Hobson,et al.  Dreaming and Episodic Memory: A Functional Dissociation? , 2003, Journal of Cognitive Neuroscience.

[40]  S Dehaene,et al.  The psychophysics of numerical comparison: A reexamination of apparently incompatible data , 1989, Perception & psychophysics.

[41]  Stanislas Dehaene,et al.  Approximate quantities and exact number words: dissociable systems , 2003, Neuropsychologia.

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

[43]  Timothy Edward John Behrens,et al.  Response-Selection-Related Parietal Activation during Number Comparison , 2004, Journal of Cognitive Neuroscience.