In the footsteps of Julius König's paradox

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• 作者：Miriam Franchella ^{miriam.franchella@unimi.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：01A55 ; 03A05
• 刊名：Historia Mathematica
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：43
• 期：1
• 页码：65-86
• 全文大小：521 K

文摘

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.