Breaking down number syntax: Spared comprehension of multi-digit numbers in a patient with impaired digit-to-word conversion

Can the meaning of two-digit Arabic numbers be accessed independently of their verbal-phonological representations? To answer this question we explored the number processing of ZN, an aphasic patient with a syntactic deficit in digit-to-verbal transcoding, who could hardly read aloud two-digit numbers, but could read them as single digits ("four, two"). Neuropsychological examination showed that ZN's deficit was neither in the digit input nor in the phonological output processes, as he could copy and repeat two-digit numbers. His deficit thus lied in a central process that converts digits to abstract number words and sends this information to phonological retrieval processes. Crucially, in spite of this deficit in number transcoding, ZN's two-digit comprehension was spared in several ways: (1) he could calculate two-digit additions; (2) he showed good performance in a two-digit comparison task, and a continuous distance effect; and (3) his performance in a task of mapping numbers to positions on an unmarked number line showed a logarithmic (nonlinear) factor, indicating that he represented two-digit Arabic numbers as holistic two-digit quantities. Thus, at least these aspects of number comprehension can be performed without converting the two-digit number from digits to verbal representation.

[1]  Klaus Willmes,et al.  Internal number magnitude representation is not holistic, either , 2009 .

[2]  C. Semenza,et al.  When two and too don’t go together: A selective phonological deficit sparing number words , 2011, Cortex.

[3]  N. Friedmann,et al.  The Cambridge Handbook of Biolinguistics: Lexical retrieval and its breakdown in aphasia and developmental language impairment , 2013 .

[4]  Klaus Willmes,et al.  Magnitude representation in sequential comparison of two-digit numbers is not holistic either , 2012, Cognitive Processing.

[5]  Noam Chomsky,et al.  The faculty of language: what is it, who has it, and how did it evolve? , 2002, Science.

[6]  Marco Zorzi,et al.  Numerical estimation in preschoolers. , 2010, Developmental psychology.

[7]  S Dehaene,et al.  CALCULATING WITHOUT READING: UNSUSPECTED RESIDUAL ABILITIES IN PURE ALEXIA , 2000, Cognitive neuropsychology.

[8]  Itziar Laka,et al.  Language effects in addition: How you say it counts , 2010, Quarterly journal of experimental psychology.

[9]  P. Garthwaite,et al.  Investigation of the single case in neuropsychology: confidence limits on the abnormality of test scores and test score differences , 2002, Neuropsychologia.

[10]  Mariano Sigman,et al.  The cortical representation of simple mathematical expressions , 2012, NeuroImage.

[11]  Emmanuel Dupoux,et al.  Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. , 1990 .

[12]  L. Cohen Number processing in pure alexia: The effect of hemispheric asymmetries and task demands , 1995 .

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

[14]  N. Friedmann,et al.  Phonological short-term memory in conduction aphasia , 2012 .

[15]  T. Loetscher,et al.  Eye position predicts what number you have in mind , 2010, Current Biology.

[16]  Michael Siegal,et al.  Agrammatic but numerate. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[17]  S. Dehaene,et al.  Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. , 1990, Journal of experimental psychology. Human perception and performance.

[18]  Samuel Shaki,et al.  Reading habits for both words and numbers contribute to the SNARC effect , 2009, Psychonomic bulletin & review.

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

[20]  L. Dehaene,et al.  Neologistic Jargon Sparing Numbers: A Category-specific Phonological Impairment , 1997 .

[21]  Stanislas Dehaene,et al.  Arithmetic and the Brain This Review Comes from a Themed Issue on Cognitive Neuroscience Edited the Intraparietal Sulcus and Number Sense Number Sense in the Animal Brain , 2022 .

[22]  Stanislas Dehaene,et al.  Neglect dyslexia for numbers? a case report , 1991 .

[23]  E. Spelke,et al.  Sources of mathematical thinking: behavioral and brain-imaging evidence. , 1999, Science.

[24]  M von Aster Developmental cognitive neuropsychology of number processing and calculation: varieties of developmental dyscalculia. , 2000, European child & adolescent psychiatry.

[25]  Daniel N. Osherson,et al.  Thought Beyond Language , 2012, Psychological science.

[26]  Susan Carey,et al.  Spontaneous number representation in semi–free–ranging rhesus monkeys , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[27]  R. Varley,et al.  The role of number words: the phonological length effect in multidigit addition , 2012, Memory & cognition.

[28]  Marc Brysbaert,et al.  Single-digit and two-digit Arabic numerals address the same semantic number line , 1999, Cognition.

[29]  R. Siegler,et al.  The Development of Numerical Estimation , 2003, Psychological science.

[30]  Marie-Pascale Noël,et al.  Arabic Number Reading Deficit - a Single-case Study Or When 236 Is Read (2306) and Judged Superior To 1258 , 1993 .

[31]  P. Gordon Numerical Cognition Without Words: Evidence from Amazonia , 2004, Science.

[32]  D. C. Howell,et al.  Comparing an Individual's Test Score Against Norms Derived from Small Samples , 1998 .

[33]  M. McCloskey,et al.  Cognitive processes in verbal-number production: inferences from the performance of brain-damaged subjects. , 1986, Journal of experimental psychology. General.

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

[35]  M. Brysbaert Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding. , 1995 .

[36]  N. Tzourio-mazoyer,et al.  Neural foundations of logical and mathematical cognition , 2003, Nature Reviews Neuroscience.

[37]  Pooja Viswanathan,et al.  Neuronal correlates of a visual “sense of number” in primate parietal and prefrontal cortices , 2013, Proceedings of the National Academy of Sciences.

[38]  M. McCloskey,et al.  Levels of representation in verbal number production , 1988, Applied Psycholinguistics.

[39]  B. Butterworth,et al.  Toward a multiroute model of number processing: Impaired number transcoding with preserved calculation skills. , 1995 .

[40]  Denise Brandão de Oliveira e Britto,et al.  The faculty of language , 2007 .

[41]  Naama Friedmann,et al.  Steps towards understanding the phonological output buffer and its role in the production of numbers, morphemes, and function words , 2015, Cortex.

[42]  S. Dehaene Varieties of numerical abilities , 1992, Cognition.

[43]  Marc Brysbaert,et al.  The Whorfian hypothesis and numerical cognition: is `twenty-four' processed in the same way as `four-and-twenty'? , 1998, Cognition.

[44]  Kleanthes K. Grohmann,et al.  The Cambridge handbook of biolinguistics , 2012 .

[45]  Marinella Cappelletti,et al.  Dissociations in numerical abilities revealed by progressive cognitive decline in a patient with semantic dementia , 2005, Cognitive neuropsychology.

[46]  Melissa E. Libertus,et al.  Comment on "Log or Linear? Distinct Intuitions of the Number Scale in Western and Amazonian Indigene Cultures" , 2009, Science.

[47]  Hauke S. Meyerhoff,et al.  Multi-digit number processing beyond the two-digit number range: a combination of sequential and parallel processes. , 2012, Acta psychologica.

[48]  H S Terrace,et al.  Representation of the numerosities 1-9 by rhesus macaques (Macaca mulatta). , 2000, Journal of experimental psychology. Animal behavior processes.

[49]  Klaus Willmes,et al.  On the Magnitude Representations of Two-Digit Numbers , 2005 .

[50]  Stanislas Dehaene,et al.  How do we convert a number into a finger trajectory? , 2013, Cognition.

[51]  M. Garrett,et al.  Lexical retrieval and its breakdown in aphasia and developmental language impairment , 2013 .

[52]  Julie L. Booth,et al.  Development of numerical estimation in young children. , 2004, Child development.

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

[54]  Susana Ruiz Fernández,et al.  Number magnitude determines gaze direction: Spatial–numerical association in a free-choice task , 2011, Cortex.

[55]  L. R. Novick,et al.  Memory for numbers: Nominal vs. magnitude information , 1982, Memory & cognition.

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

[57]  Hilary C Barth,et al.  The development of numerical estimation: evidence against a representational shift. , 2011, Developmental science.

[58]  S Dehaene,et al.  Number words and number non-words. A case of deep dyslexia extending to Arabic numerals. , 1994, Brain : a journal of neurology.

[59]  S. Dehaene,et al.  Representation of number in the brain. , 2009, Annual review of neuroscience.

[60]  G. Altmann Science and Linguistics , 1993 .

[61]  E. Spelke,et al.  Language and Conceptual Development series Core systems of number , 2004 .

[62]  Julie L. Booth,et al.  Developmental and individual differences in pure numerical estimation. , 2006, Developmental psychology.

[63]  Lisa Cipolotti,et al.  Multiple routes for reading words, why not numbers? Evidence from a case of arabic numeral dyslexia , 1995 .

[64]  N. Friedmann,et al.  Words and Numbers in the Phonological Output Buffer , 2010 .