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The number sense represents multitudes and magnitudes
Published online by Cambridge University Press: 15 December 2021
Abstract
Clarke and Beck's view that numbers are both second-order and sensible is based on an empirically dubious claim, which is required to show that what they call the “weak sensitivity principle” is satisfied. The explanatory benefits that they say are gained by positing a sensory relation to numbers are also gained by positing such a relation to multitudes of objects.
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- Open Peer Commentary
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- Copyright © The Author(s), 2021. Published by Cambridge University Press
References
Azzouni, J. (2010). Talking about nothing: Numbers, hallucinations and fictions. Oxford University Press.CrossRefGoogle Scholar
Marshall, O. R. (2017). Giaquinto on acquaintance with numbers. The Journal of Philosophy 114(1):43–55.CrossRefGoogle Scholar
Marshall, O. R. (2018). The psychology and philosophy of natural numbers. Philosophia Mathematica 26(1):40–58.CrossRefGoogle Scholar
Target article
The number sense represents (rational) numbers
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Author response
Numbers, numerosities, and new directions