MULTITUDES, COLLECTIONS AND INFINITE: THE EMERGENCE OF SET THEORY IN BERNHARD BOLZANO

Authors

  • Luis Alberto Canela Morales

DOI:

https://doi.org/10.5944/rif.13.2016.29613

Keywords:

Bolzano, Kant, multitude, collections, infinite

Abstract

The article addresses the treatment of certain fundamental passages from Bolzano’s Wissenschaftslehre and Paradoxien des Unendlichen. In these passages, Bolzano describes some of his key concepts such “Multitude”, “Collections” and “Infinite” in the context of mathematical analysis and Set theory. Therefore, I discuss at length the (almost) unknown Contributions to a Better-Grounded Presentation of Mathematics and the appendix On the Kantian Theory of the Construction of Concepts through Intuitions, texts where Bolzano shows his rejection of Kant.

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Published

2021-02-02

How to Cite

Canela Morales, L. A. (2021). MULTITUDES, COLLECTIONS AND INFINITE: THE EMERGENCE OF SET THEORY IN BERNHARD BOLZANO. Investigaciones Fenomenológicas, (13), 31–49. https://doi.org/10.5944/rif.13.2016.29613

Issue

No. 13 (2016)

Section

Artículos

License

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Reconocimiento (by): Se permite cualquier explotación de la obra, incluyendo una finalidad comercial, así como la creación de obras derivadas, la distribución de las cuales también está permitida sin ninguna restricción.