Abstract

CHAVES, Andrés  and  RECALDE, Luis C.. Nikolai Luzin and the problem of existence in mathematics. Integración - UIS [online]. 2017, vol.35, n.1, pp.71-82. ISSN 0120-419X.  https://doi.org/10.18273/revint.v35n1-2017005.

This paper presents excerpts of the discussion about the problem of existence for functions in each one of Baire’ s classes. First, it sets up the historical problem, introducing four existential categories, and then it shows Luzin’ s position and reframes it in terms of Cavaillès and Gardies’ theory of thematization.

Keywords : Baire’ s conjecture; discontinuous functions; mathematical ontology; existence in mathematics..

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