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The number sense represents multitudes and magnitudes

Published online by Cambridge University Press:  15 December 2021

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. OMarshall@gradcenter.cuny.eduhttps://olivermarshall.commons.gc.cuny.edu/

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
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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