Mathematical Concepts as Natural Kinds
This paper presents an approach to mathematical terms similar to the approach developed by Kripke in order to deal with natural kind terms; in fact, I argue that mathematical terms are natural kind terms in the sense of Kripke. Thus, I suggest that, from a semantic perspective, such terms should be...
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Format: | Article |
Language: | deu |
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Universidade de Brasília
2018-12-01
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Series: | Revista de Filosofia Moderna e Contemporânea |
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Online Access: | https://periodicos.unb.br/index.php/fmc/article/view/19014 |
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author | Daniel Arvage Nagase |
author_facet | Daniel Arvage Nagase |
author_sort | Daniel Arvage Nagase |
collection | DOAJ |
description | This paper presents an approach to mathematical terms similar to the approach developed by Kripke in order to deal with natural kind terms; in fact, I argue that mathematical terms are natural kind terms in the sense of Kripke. Thus, I suggest that, from a semantic perspective, such terms should be seen as primarily referring terms, and, from a metaphysical perspective, that good definitions of such terms should embody structural information about the exemplars from the kind in question. |
first_indexed | 2024-12-20T14:04:48Z |
format | Article |
id | doaj.art-274198da4fad4ed9ad03d02eb571edec |
institution | Directory Open Access Journal |
issn | 2317-9570 |
language | deu |
last_indexed | 2024-12-20T14:04:48Z |
publishDate | 2018-12-01 |
publisher | Universidade de Brasília |
record_format | Article |
series | Revista de Filosofia Moderna e Contemporânea |
spelling | doaj.art-274198da4fad4ed9ad03d02eb571edec2022-12-21T19:38:16ZdeuUniversidade de BrasíliaRevista de Filosofia Moderna e Contemporânea2317-95702018-12-0162071310.26512/rfmc.v6i2.1901415472Mathematical Concepts as Natural KindsDaniel Arvage Nagasehttps://orcid.org/0000-0003-4219-9460This paper presents an approach to mathematical terms similar to the approach developed by Kripke in order to deal with natural kind terms; in fact, I argue that mathematical terms are natural kind terms in the sense of Kripke. Thus, I suggest that, from a semantic perspective, such terms should be seen as primarily referring terms, and, from a metaphysical perspective, that good definitions of such terms should embody structural information about the exemplars from the kind in question.https://periodicos.unb.br/index.php/fmc/article/view/19014natural kindsmathematical definitionsessencestructure |
spellingShingle | Daniel Arvage Nagase Mathematical Concepts as Natural Kinds Revista de Filosofia Moderna e Contemporânea natural kinds mathematical definitions essence structure |
title | Mathematical Concepts as Natural Kinds |
title_full | Mathematical Concepts as Natural Kinds |
title_fullStr | Mathematical Concepts as Natural Kinds |
title_full_unstemmed | Mathematical Concepts as Natural Kinds |
title_short | Mathematical Concepts as Natural Kinds |
title_sort | mathematical concepts as natural kinds |
topic | natural kinds mathematical definitions essence structure |
url | https://periodicos.unb.br/index.php/fmc/article/view/19014 |
work_keys_str_mv | AT danielarvagenagase mathematicalconceptsasnaturalkinds |