Referential uses of arabic numerals
Is the debate over the existence of numbers unsolvable? Mario Gómez-Torrente presents a novel proposal to unclog the old discussion between the realist and the anti-realist about numbers. In this paper, the strategy is outlined, highlighting its results and showing how they determine the desiderata...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Brasil |
| Institución: | Universidade Estadual de Campinas (UNICAMP) |
| Repositorio: | Manuscrito (Online) |
| Idioma: | inglés |
| OAI Identifier: | oai:ojs.periodicos.sbu.unicamp.br:article/8664468 |
| Acceso en línea: | https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8664468 |
| Access Level: | acceso abierto |
| Palabra clave: | Arabic numerals Reference Arithmetical epistemology Numbers Numerales arábigos Referencia Epistemología aritmética Números Algarismos arábicos Referência Epistemologia aritmética |
| Sumario: | Is the debate over the existence of numbers unsolvable? Mario Gómez-Torrente presents a novel proposal to unclog the old discussion between the realist and the anti-realist about numbers. In this paper, the strategy is outlined, highlighting its results and showing how they determine the desiderata for a satisfactory theory of the reference of Arabic numerals, which should lead to a satisfactory explanation about numbers. It is argued here that the theory almost achieves its goals, yet it does not capture the relevant association between how a number can be split up and the morphological property of Arabic numerals to be positional. This property seems to play a substantial role in providing a complete theory of Arabic numerals and numbers. |
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