Numerals as triggers of System 1 and System 2 in the ‘bat and ball’ problem

Mind and Society 13 (1):135-148 (2014)

Abstract
The ‘bat and ball’ is one of the problems most frequently employed as a testbed for research on the dual-system hypothesis of reasoning. Frederick is the first to envisage the possibility that different numerical arrangements of the ‘bat and ball’ problem could lead to different dynamics of activation of the dual-system, and so to different performances of subjects in task accomplishment. This possibility has triggered a strand of research oriented to accomplish ‘sensitivity analyses’ of the ‘bat and ball’ problem. The scope of this paper is to test experimentally the specific hypothesis that numerals are responsible for the selective activation of the two systems of reasoning in this task. In particular, we argue that their role goes beyond and cannot be reduced to that of numbers conceived as magnitudes. To test our hypothesis, we devise an experimental setting in which the role of numbers is rendered irrelevant. We find experimental results consistent with our hypothesis. We further provide a link between the literature on mathematical problem-solving and that on mathematical cognition research, in particular that branch labeled embodied mathematical cognition
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.1007/s11299-014-0138-8
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 47,299
External links

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

Embodiment and Cognitive Science.Raymond W. Gibbs - 2006 - New York ;Cambridge University Press.
Verbal Reports as Data.K. Anders Ericsson & Herbert A. Simon - 1980 - Psychological Review 87 (3):215-251.

View all 15 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Some Results on Numeral Systems in $\Lambda$ -Calculus.Benedetto Intrigila - 1994 - Notre Dame Journal of Formal Logic 35 (4):523-541.
Saying It With Numerals.David Auerbach - 1994 - Notre Dame Journal of Formal Logic 35 (1):130-146.
G and Darwinian Algorithms.Kevin MacDonald & David Geary - 2000 - Behavioral and Brain Sciences 23 (5):685-686.
Blaming the System.Bruce Robbins - 2011 - In David Palumbo-Liu, Bruce Robbins & Nirvana Tanoukhi (eds.), Immanuel Wallerstein and the Problem of the World: System, Scale, Culture. Duke University Press.
Legal System of International Rights.Helen Stacy - 2011 - In David Palumbo-Liu, Bruce Robbins & Nirvana Tanoukhi (eds.), Immanuel Wallerstein and the Problem of the World: System, Scale, Culture. Duke University Press.

Analytics

Added to PP index
2014-03-25

Total views
9 ( #830,349 of 2,290,752 )

Recent downloads (6 months)
1 ( #834,658 of 2,290,752 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature