The Number Sense Represents Multitudes and Magnitudes

Behavioral and Brain Sciences 44 (2021)
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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.

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References found in this work

Origins of Objectivity.Tyler Burge - 2010 - Oxford, GB: Oxford University Press.
The Psychology and Philosophy of Natural Numbers.Oliver R. Marshall - 2017 - Philosophia Mathematica (1):nkx002.
Giaquinto on Acquaintance with Numbers.Oliver R. Marshall - 2017 - Journal of Philosophy 114 (1):43-55.

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