Philosophical concepts that influenced the set theories discovered by Bertrand Russell
DOI:
https://doi.org/10.24310/NATyLIB.2021.vi15.12491Keywords:
Russell, Cantor, Kant, Hegel, Leibniz, Saint Anselm, A priori judgements, Synthetic judgements, Logicism, Potential infinity, Actual infinityAbstract
In this paper I examine some of Bertrand Russell's philosophical presuppositions underlying his discovery of paradoxes in Cantor's set theory: Kant's a priori and synthetic judgments, Leibniz's logicism, the Hegelian worldview, St. Anselm's ontological argument.
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Doxiadis, Papadimitriou. (2014). Logicómix. Una búsqueda épica de la verdad. Barcelona: Publicaciones y Ediciones Salamandra, S. A.
Euclides. (2000). Elementos. Libros I-IV. Barcelona: Biblioteca Básica Gredos.
Garciadiego, A. R. (1992). Bertrand Russell y los orígenes de las “paradojas” de la teoría de conjuntos. Madrid: Alianza Editorial.
Russell, B. (2010). Autobiografía. Barcelona: Edhasa.
Xirau, R. (2011). Introducción a la historia de la filosofía. México: UNAM.
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