The approximate number system represents rational numbers: The special case of an empty set

Behavioral and Brain Sciences 44 (2021)
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Abstract

We agree with Clarke and Beck that the approximate number system represents rational numbers, and we demonstrate our support by highlighting the case of the empty set – the non-symbolic manifestation of zero. It is particularly interesting because of its perceptual and semantic uniqueness, and its exploration reveals fundamental new insights about how numerical information is represented.

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