NDLI: Mental Magnitudes and Increments of Mental Magnitudes

Content Provider	Springer Nature Link
Author	Katz, Matthew
Copyright Year	2013
Abstract	There is at present a lively debate in cognitive psychology concerning the origin of natural number concepts. At the center of this debate is the system of mental magnitudes, an innately given cognitive mechanism that represents cardinality and that performs a variety of arithmetical operations. Most participants in the debate argue that this system cannot be the sole source of natural number concepts, because they take it to represent cardinality approximately while natural number concepts are precise. In this paper, I argue that the claim that mental magnitudes represent cardinality approximately overlooks the distinction between a magnitude and the increments that compose to form that magnitude. While magnitudes do indeed represent cardinality approximately, they are composed of a precise number of increments. I argue further that learning the number words and the counting routine may allow one to mark in memory the number of increments that composed to form a magnitude, thereby creating a precise representation of cardinality.
Starting Page	675
Ending Page	703
Page Count	29
File Format	PDF
ISSN	18785158
Journal	Review of Philosophy and Psychology
Volume Number	4
Issue Number	4
e-ISSN	18785166
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-08-26
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Philosophy of Mind Cognitive Psychology Neurosciences Epistemology Developmental Psychology Philosophy of Science
Content Type	Text
Resource Type	Article
Subject	Philosophy Experimental and Cognitive Psychology

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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