Resumen

PATINO CRISTANCHO, JUAN DIEGO. THEMATIC TENSIONS CONTROVERSIES ABOUT INFINITY. Ideas y Valores [online]. 2022, vol.71, suppl.8, pp.89-112.  Epub 19-Jun-2024. ISSN 0120-0062.  https://doi.org/10.15446/ideasyvalores.v71n8supl.103865.

Parting from Gerald Holton's themata concept, I suggest the notion of "thematic tensions" in an attempt to tackle issues related to the necessity of establishing identity criteria in the evolution of scientific controversies. By "thematic tensions", I mean a variety of background pressures that shape the development of some controversies. I apply this notion to two disputes far apart in time to establish their kinship: the controversy that Platonists and Aristotelians held on the mode of existence of the infinite during m and m centuries and the controversy Georg Cantor and Leopold Kronecker held on the legitimacy of transfinite numbers near the end of the xix century.

Palabras clave : controversies; infinite; thematic tensions; themata.

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