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The number sense represents multitudes and magnitudes

Published online by Cambridge University Press:  15 December 2021

Oliver R. Marshall Open the ORCID record for Oliver R. Marshall [Opens in a new window]
Oliver R. Marshall*
Affiliation:
Instituto de Investigaciones Filosóficas, Universidad Nacional Autónoma de México, Circuito Maestro Mario de la Cueva s/n, Cuidad Universitaria, C. P. 04510, Coyoacán México, D.F., Mexico. [email protected]://olivermarshall.commons.gc.cuny.edu/
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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.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 44 , 2021 , e197
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

Azzouni, J. (2010). Talking about nothing: Numbers, hallucinations and fictions. Oxford University Press.CrossRefGoogle Scholar
Burge, T. (2010). Origins of objectivity. Oxford University Press.CrossRefGoogle Scholar
Gaifman, H. (2005). Some Thoughts and a Proposal in the Philosophy of Mathematics.Google 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