Behavioral and Brain Sciences 44:1-20 (2021)
| Authors |
|
| Abstract |
In our target article, we argued that the number sense represents natural and rational numbers. Here, we respond to the 26 commentaries we received, highlighting new directions for empirical and theoretical research. We discuss two background assumptions, arguments against the number sense, whether the approximate number system represents numbers or numerosities, and why the ANS represents rational numbers.
|
| Keywords | Number Sense Approximate Number System Numerosity Rational Numbers |
| Categories | (categorize this paper) |
| DOI | 10.1017/s0140525x21001503 |
| Options |
Mark as duplicate
Export citation
Request removal from index
|
Download options
References found in this work BETA
Simulation and Similarity: Using Models to Understand the World.Michael Weisberg - 2013 - Oxford University Press.
View all 27 references / Add more references
Citations of this work BETA
No citations found.
Similar books and articles
The Number Sense Represents (Rational) Numbers.Sam Clarke & Jacob Beck - 2021 - Behavioral and Brain Sciences 44:1-57.
Does the Number Sense Represent Number?Sam Clarke & Jacob Beck - 2020 - In Blair Armstrong, Stephanie Denison, Michael Mack & Yang Xu (eds.), Proceedings of the 42nd Meeting of the Cognitive Science Society.
Preschool Children's Mapping of Number Words to Nonsymbolic Numerosities.Elizabeth Spelke - manuscript
Preschool Children's Mapping of Number Words to Nonsymbolic Numerosities.Jennifer S. Lipton & Elizabeth S. Spelke - unknown
Calibrating the Mental Number Line.Véronique Izard & Stanislas Dehaene - 2008 - Cognition 106 (3):1221-1247.
The Representations of the Approximate Number System.Stefan Buijsman - 2021 - Philosophical Psychology 34 (2):300-317.
Exact and Approximate Arithmetic in an Amazonian Indigene Group.Pierre Pica, Cathy Lemer, Véronique Izard & Stanislas Dehaene - 2004 - Science 306 (5695):499-503.
Neuronal Representation of Numerosity Zero in the Primate Parieto-Frontal Number Network.Araceli Ramirez-Cardenas, Maria Moskaleva & Andreas Nieder - 2016 - Current Biology 26.
Theoretical Implications of the Study of Numbers and Numerals in Mundurucu.Pierre Pica & Alain Lecomte - 2008 - Philosophical Psychology 21 (4):507 – 522.
Monotonically Computable Real Numbers.Robert Rettinger, Xizhong Zheng, Romain Gengler & Burchard von Braunmühl - 2002 - Mathematical Logic Quarterly 48 (3):459-479.
What Are Numbers?Zvonimir Šikić - 1996 - International Studies in the Philosophy of Science 10 (2):159-171.
The Arithmetical Hierarchy of Real Numbers.Xizhong Zheng & Klaus Weihrauch - 2001 - Mathematical Logic Quarterly 47 (1):51-66.
Computational Complexity of Quantifier-Free Negationless Theory of Field of Rational Numbers.Nikolai Kossovski - 2001 - Annals of Pure and Applied Logic 113 (1-3):175-180.
The Number Sense: How the Mind Creates Mathematics by Stanislas Debaene.Stephen Palmquist - 2012 - Journal of Scientific Exploration 26 (4).
In Good Company? On Hume’s Principle and the Assignment of Numbers to Infinite Concepts.Paolo Mancosu - 2015 - Review of Symbolic Logic 8 (2):370-410.
Analytics
Added to PP index
2021-09-01
Total views
41 ( #276,872 of 2,508,119 )
Recent downloads (6 months)
11 ( #66,817 of 2,508,119 )
2021-09-01
Total views
41 ( #276,872 of 2,508,119 )
Recent downloads (6 months)
11 ( #66,817 of 2,508,119 )
How can I increase my downloads?
Downloads
