Synthese 197 (9):3657-3681 (2020)

Authors
Max Jones
University of Bristol
Abstract
Menary OpenMIND, MIND Group, Frankfurt am Main, 2015) has argued that the development of our capacities for mathematical cognition can be explained in terms of enculturation. Our ancient systems for perceptually estimating numerical quantities are augmented and transformed by interacting with a culturally-enriched environment that provides scaffolds for the acquisition of cognitive practices, leading to the development of a discrete number system for representing number precisely. Numerals and the practices associated with numeral systems play a significant role in this process. However, the details of the relationship between the ancient number system and the discrete number system remain unclear. This lack of clarity is exacerbated by the problem of symbolic estrangement and the fact that unique features of how numeral systems represent require our ancient number system to play a dual role. These issues highlight that Dehaene’s From monkey brain to human brain, MIT Press, Cambridge, pp 133–157, 2005) neuronal recycling hypothesis may be insufficient to explain the neural mechanisms underlying the process of enculturation. In order to explain mathematical enculturation, and enculturation more generally, it may be necessary to adopt Anderson’s :245–266, 2010; After phrenology: neural reuse and the interactive brain, MIT Press, Cambridge, 2014) theory of neural reuse.
Keywords Neural Reuse  Mathematical Cognition  Enculturation  Numeral Systems
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11229-018-01922-y
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,464
Through your library

References found in this work BETA

Origins of Objectivity.Tyler Burge - 2010 - Oxford University Press.
The Origin of Concepts.Susan Carey - 2009 - Oxford University Press.
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford, England: Oxford University Press.

View all 28 references / Add more references

Citations of this work BETA

Re-Doing the Math: Making Enactivism Add Up.Daniel Hutto - 2019 - Philosophical Studies 176 (3):827-837.

View all 11 citations / Add more citations

Similar books and articles

Cognitive Innovation, Cumulative Cultural Evolution, and Enculturation.Regina E. Fabry - 2017 - Journal of Cognition and Culture 17 (5):375-395.
Cortex in Context: Response to Commentaries on Neural Reuse.Michael L. Anderson - 2010 - Behavioral and Brain Sciences 33 (4):294-313.
Neural Reuse and Cognitive Homology.Vincent Bergeron - 2010 - Behavioral and Brain Sciences 33 (4):268-269.
Reuse of Molecules and of Neural Circuits.Mark Reimers - 2010 - Behavioral and Brain Sciences 33 (4):288-289.
Some Results on Numeral Systems in $\lambda$ -Calculus.Benedetto Intrigila - 1994 - Notre Dame Journal of Formal Logic 35 (4):523-541.

Analytics

Added to PP index
2018-09-01

Total views
22 ( #515,925 of 2,520,757 )

Recent downloads (6 months)
1 ( #405,623 of 2,520,757 )

How can I increase my downloads?

Downloads

My notes