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  1. An empirically informed account of numbers as reifications.César Frederico dos Santos - 2023 - Theoria 89 (6):783-799.
    The field of numerical cognition provides a fairly clear picture of the processes through which we learn basic arithmetical facts. This scientific picture, however, is rarely taken as providing a response to a much‐debated philosophical question, namely, the question of how we obtain number knowledge, since numbers are usually thought to be abstract entities located outside of space and time. In this paper, I take the scientific evidence on how we learn arithmetic as providing a response to the philosophical question (...)
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  • Numerosities are not ersatz numbers.Catarina Dutilh Novaes & César Frederico dos Santos - 2021 - Behavioral and Brain Sciences 44.
    In describing numerosity as “a kind of ersatz number,” Clarke and Beck fail to consider a familiar and compelling definition of numerosity, which conceptualizes numerosity as the cognitive counterpart of the mathematical concept of cardinality; numerosity is the magnitude, whereas number is a scale through which numerosity/cardinality is measured. We argue that these distinctions should be considered.
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