David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Topoi 29 (1):3-13 (2010)
In historical claims for nativism, mathematics is a paradigmatic example of innate knowledge. Claims by contemporary developmental psychologists of elementary mathematical skills in human infants are a legacy of this. However, the connection between these skills and more formal mathematical concepts and methods remains unclear. This paper assesses the current debates surrounding nativism and mathematical knowledge by teasing them apart into two distinct claims. First, in what way does the experimental evidence from infants, nonhuman animals and neuropsychology support the nativist hypothesis? Second, granting that infants have some elementary mathematical skills, does this mean that such skills play an important role in the development of mathematical knowledge?
|Keywords||Innate knowledge Nativism Mathematical knowledge Developmental psychology Arithmetic|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Paul Benacerraf (1973). Mathematical Truth. Journal of Philosophy 70 (19):661-679.
Elizabeth M. Brannon (2002). The Development of Ordinal Numerical Knowledge in Infancy. Cognition 83 (3):223-240.
Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.) (2005). The Innate Mind. Oxford University Press.
Helen De Cruz (2008). An Extended Mind Perspective on Natural Number Representation. Philosophical Psychology 21 (4):475 – 490.
Citations of this work BETA
Similar books and articles
Elaine Landry (2011). How to Be a Structuralist All the Way Down. Synthese 179 (3):435 - 454.
Robert Schwartz (1995). Is Mathematical Competence Innate? Philosophy of Science 62 (2):227-40.
Davide Rizza (2011). Magicicada, Mathematical Explanation and Mathematical Realism. Erkenntnis 74 (1):101-114.
Otávio Bueno (2008). Truth and Proof. Manuscrito 31 (1).
Jean-Pierre Marquis (1999). Mathematical Engineering and Mathematical Change. International Studies in the Philosophy of Science 13 (3):245 – 259.
Matteo Mameli (2008). On Innateness: The Clutter Hypothesis and the Cluster Hypothesis. Journal of Philosophy 105 (12):719.
Mary Leng, Alexander Paseau & Michael D. Potter (eds.) (2007). Mathematical Knowledge. Oxford University Press.
Michael Potter (2007). What is the Problem of Mathematical Knowledge? In Michael Potter, Mary Leng & Alexander Paseau (eds.), Mathematical Knowledge.
Andrei Rodin (2010). How Mathematical Concepts Get Their Bodies. Topoi 29 (1):53-60.
Added to index2009-12-16
Total downloads81 ( #15,893 of 1,100,561 )
Recent downloads (6 months)8 ( #27,510 of 1,100,561 )
How can I increase my downloads?