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...
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-03-01
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| Series: | Studies in Logic, Grammar and Rhetoric |
| Online Access: | https://doi.org/10.1515/slgr-2016-0010 |
| _version_ | 1818584356468293632 |
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| author | Salanskis Jean-Michel |
| author_facet | Salanskis Jean-Michel |
| author_sort | Salanskis Jean-Michel |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-16T08:19:52Z |
| format | Article |
| id | doaj.art-2f77c2c3fa8648528a9d9cd2c1b0a6cf |
| institution | Directory Open Access Journal |
| issn | 0860-150X 2199-6059 |
| language | English |
| last_indexed | 2024-12-16T08:19:52Z |
| publishDate | 2016-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Studies in Logic, Grammar and Rhetoric |
| spelling | doaj.art-2f77c2c3fa8648528a9d9cd2c1b0a6cf2022-12-21T22:38:08ZengSciendoStudies in Logic, Grammar and Rhetoric0860-150X2199-60592016-03-0144116918010.1515/slgr-2016-0010slgr-2016-0010Ways of InfinitySalanskis Jean-Michel0Université Paris Ouest, Nanterre La DéfenseThe 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.https://doi.org/10.1515/slgr-2016-0010 |
| spellingShingle | Salanskis Jean-Michel Ways of Infinity Studies in Logic, Grammar and Rhetoric |
| title | Ways of Infinity |
| title_full | Ways of Infinity |
| title_fullStr | Ways of Infinity |
| title_full_unstemmed | Ways of Infinity |
| title_short | Ways of Infinity |
| title_sort | ways of infinity |
| url | https://doi.org/10.1515/slgr-2016-0010 |
| work_keys_str_mv | AT salanskisjeanmichel waysofinfinity |