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Crafting the hammer: a philosophical examination of attempts to capture the human capacity for number

by Sumitra Vignaendra

Institution: Macquarie University
Department:
Degree:
Year: 2022
Keywords: Other education not elsewhere classified; Number concept – Philosophy; Numeracy – Philosophy; human capacity for number; Number concept; Numeracy
Posted: 3/25/2025
Record ID: 2297189
Full text PDF: http://hdl.handle.net/10.25949/19439942.v1


Abstract

This thesis argues that two empirical approaches to capture the human capacity for number are not well-justified and are too narrow, and consequently, are not robust enough to capture this capacity. The two empirical approaches analysed are the nativist approach endorsed by Elizabeth Spelke (e.g. 2011) and the embodied cognition approach formulated by George Lakoff and Rafael Núñez (2000). I argue that the former approach privileges neural modules in the explanation of this capacity without sufficient justification; the latter approach excludes neural circuits from the explanation, also without sufficient justification, as well as fails to provide a plausible evolutionary story to explain the emergence of number in human life. I conclude the thesis by arguing that an empirical approach robust enough to capture the human capacity for number should be informed by theories on niche construction (Sterelny, 2007); mimesis (Tomasello, 1999); the emergence of the modern mind (Donald, 1991); neural reuse (Anderson, 2010) and cognitive integration (Menary, 2007).

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