König's paradox, that he presented for the first time in 1905, preserved the same structure in all his papers: there was a number that at the same time was and was not finitely definable. Still, he changed the way for forming it, and both its consequences and its solutions changed as well. In the present paper we are going to follow the story of König's paradox, that is an intriguing mix of labelling, solving, criticising an "object" from different viewpoints and for different aims.

In the footsteps of Julius König's paradox / M. Franchella. - In: HISTORIA MATHEMATICA. - ISSN 0315-0860. - 43:1(2016 Feb), pp. 65-86.

In the footsteps of Julius König's paradox

M. Franchella
2016

Abstract

König's paradox, that he presented for the first time in 1905, preserved the same structure in all his papers: there was a number that at the same time was and was not finitely definable. Still, he changed the way for forming it, and both its consequences and its solutions changed as well. In the present paper we are going to follow the story of König's paradox, that is an intriguing mix of labelling, solving, criticising an "object" from different viewpoints and for different aims.
20th century logic; infinite; paradoxes; set theory; history; mathematics (all)
Settore M-FIL/02 - Logica e Filosofia della Scienza
feb-2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/468932
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