RT Journal Article
T1 Numbers, empiricism and the a priori
A1 Ramírez Calle, Olga
K1 Análisis filosófico
K1 Números
K1 Matemáticas - Filosofía
AB 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.
PB Institute for Economic and Social Research of The Romanian Academy
YR 2020
FD 2020
LK https://hdl.handle.net/10630/34254
UL https://hdl.handle.net/10630/34254
LA eng
NO Ramírez Calle, O. (2020) Numbers, Empiricism and the Priori. Logos & Episteme, 11 (2), 149-177. https://doi.org/10.5840/logos-episteme202011212
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 23 ene 2026