Synthese 199 (3-4):5791-5814 (2021)

Authors
Markus Pantsar
University of Helsinki
Abstract
Beck presents an outline of the procedure of bootstrapping of integer concepts, with the purpose of explicating the account of Carey. According to that theory, integer concepts are acquired through a process of inductive and analogous reasoning based on the object tracking system, which allows individuating objects in a parallel fashion. Discussing the bootstrapping theory, Beck dismisses what he calls the "deviant-interpretation challenge"—the possibility that the bootstrapped integer sequence does not follow a linear progression after some point—as being general to any account of inductive learning. While the account of Carey and Beck focuses on the OTS, in this paper I want to reconsider the importance of another empirically well-established cognitive core system for treating numerosities, namely the approximate number system. Since the ANS-based account offers a potential alternative for integer concept acquisition, I show that it provides a good reason to revisit the deviant-interpretation challenge. Finally, I will present a hybrid OTS-ANS model as the foundation of integer concept acquisition and the framework of enculturation as a solution to the challenge.
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DOI 10.1007/s11229-021-03046-2
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References found in this work BETA

Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
The Origin of Concepts.Susan Carey - 2009 - Oxford University Press.

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