2026-05-30T03:26:49Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/342542026-02-03T11:06:46Zcom_10630_2254col_10630_37953

Numbers, empiricism and the a priori Ramírez Calle, Olga Análisis filosófico Números Matemáticas - Filosofía The present paper deals with the ontological status of numbers and considers Frege ́s proposal in Grundlagen upon the background of the Post-Kantian semantic turn in analytical philosophy. Through a more systematic study of his philosophical premises, it comes to unearth a first level paradox that would unset earlier still than it was exposed by Russell. It then studies an alternative path that, departing from Frege’s initial premises, drives to a conception of numbers as synthetic a priori in a more Kantian sense. On this basis, it tentatively explores a possible derivation of basic logical rules on their behalf, suggesting a more rudimentary basis to inferential thinking, which supports reconsidering the difference between logical thinking and AI. Finally, it reflects upon the contributions of this approach to the problem of the a priori. 2024-10-03T09:05:21Z 2024-10-03T09:05:21Z 2020 journal article Ramírez Calle, O. (2020) Numbers, Empiricism and the Priori. Logos & Episteme, 11 (2), 149-177. https://doi.org/10.5840/logos-episteme202011212 https://hdl.handle.net/10630/34254 https://doi.org/10.5840/logos-episteme202011212 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Institute for Economic and Social Research of The Romanian Academy