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Linguistic Determinism and the Innate Basis of Number

In Peter Carruthers (ed.), The Innate Mind: Foundations and the Future (2007)

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  1. Language as a Necessary Condition for Complex Mental Content: A Review of the Discussion on Spatial and Mathematical Thinking. [REVIEW]Arkadiusz Gut & Robert Mirski - 2018 - Roczniki Filozoficzne 66 (3):33-56.
    In this article we review the discussion over the thesis that language serves as an integrator of contents coming from different cognitive modules. After presenting the theoretical considerations, we examine two strands of empirical research that tested the hypothesis — spatial cognition and mathematical cognition. The idea shared by both of them is that each is composed of two separate modules processing information of a specific kind. For spatial thinking these are geometric information about the location of the object and (...)
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  • Mental Magnitudes and Increments of Mental Magnitudes.Matthew Katz - 2013 - Review of Philosophy and Psychology 4 (4):675-703.
    There is at present a lively debate in cognitive psychology concerning the origin of natural number concepts. At the center of this debate is the system of mental magnitudes, an innately given cognitive mechanism that represents cardinality and that performs a variety of arithmetical operations. Most participants in the debate argue that this system cannot be the sole source of natural number concepts, because they take it to represent cardinality approximately while natural number concepts are precise. In this paper, I (...)
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