Exact equality and successor function: Two key concepts on the path towards understanding exact numbers

Philosophical Psychology 21 (4):491 – 505 (2008)
Abstract
Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers.
Keywords exact equality  mundurucu  sucessor function
Categories (categorize this paper)
DOI 10.1080/09515080802285354
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,756
Through your library
References found in this work BETA
Core Systems of Number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
Children's Understanding of Counting.Karen Wynn - 1990 - Cognition 36 (2):155-193.

View all 15 references / Add more references

Citations of this work BETA
Mental Magnitudes and Increments of Mental Magnitudes.Matthew Katz - 2013 - Review of Philosophy and Psychology 4 (4):675-703.

View all 6 citations / Add more citations

Similar books and articles

Monthly downloads

Added to index

2010-05-07

Total downloads

27 ( #191,521 of 2,178,142 )

Recent downloads (6 months)

1 ( #316,663 of 2,178,142 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums