Ways of Infinity

The paper discusses analogies between the way in which infinity is understood and dealt with in mathematics and in Jewish tradition. It begins with recalling the classical debate about infinity in the field of the foundations of mathematics. Reading an important paper by A. Robinson, we come to the...

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Detalhes bibliográficos
Autor principal: Salanskis Jean-Michel
Formato: Artigo
Idioma:English
Publicado em: Sciendo 2016-03-01
Colecção:Studies in Logic, Grammar and Rhetoric
Acesso em linha:https://doi.org/10.1515/slgr-2016-0010
Descrição
Resumo:The paper discusses analogies between the way in which infinity is understood and dealt with in mathematics and in Jewish tradition. It begins with recalling the classical debate about infinity in the field of the foundations of mathematics. Reading an important paper by A. Robinson, we come to the conclusion that mathematicians work “as if” infinite totalities existed. They do so by following the rules of their formalized discourse which, at least if it refers to anything at all, also refers to such totalities. The paper describes how, according to Jewish tradition, infinity is also not theological: instead of thinking that they own some infinite being or relate to it, observant Jews follow Jewish law.
ISSN:0860-150X
2199-6059