The geometrical basis of arithmetical knowledge: Frege and Dehaene

Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 33 (2):361-370 (2018)
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Frege writes in Numbers and Arithmetic about kindergarten-numbers and “an a priori mode of cognition” that they may have “a geometrical source.” This resembles recent findings on arithmetical cognition. In my paper, I explore this resemblance between Gottlob Frege’s later position concerning the geometrical source of arithmetical knowledge, and some current positions in the literature dedicated to arithmetical cognition, especially that of Stanislas Dehaene. In my analysis, I shall try to mainly see to what extent (Frege’s) logicism is compatible with (Dehaene’s) intuitionism.



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Sorin Costreie
University of Bucharest

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