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Early numerical cognition and mathematical processes
Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):285-304 (2018)
Abstract
In this paper I study the development of arithmetical cognition with the focus on metaphorical thinking. In an approach developing on Lakoff and Núñez, I propose one particular conceptual metaphor, the Process → Object Metaphor, as a key element in understanding the development of mathematical thinking.Author's Profile
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Citations of this work
Objectivity in Mathematics, Without Mathematical Objects†.Markus Pantsar - 2021 - Philosophia Mathematica 29 (3):318-352.
The Enculturated Move From Proto-Arithmetic to Arithmetic.Markus Pantsar - 2019 - Frontiers in Psychology 10.
Bootstrapping of integer concepts: the stronger deviant-interpretation challenge.Markus Pantsar - 2021 - Synthese 199 (3-4):5791-5814.
On What Ground Do Thin Objects Exist? In Search of the Cognitive Foundation of Number Concepts.Markus Pantsar - 2023 - Theoria 89 (3):298-313.
The cerebral, extra-cerebral bodily, and socio-cultural dimensions of enculturated arithmetical cognition.Regina E. Fabry - 2020 - Synthese 197 (9):3685-3720.
References found in this work
Wittgenstein on rules and private language: an elementary exposition.Saul A. Kripke - 1982 - Cambridge, Mass.: Harvard University Press.
The foundations of arithmetic.Gottlob Frege - 1884/1950 - Evanston, Ill.,: Northwestern University Press.
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