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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Main Author: Daniel Arvage Nagase
Format: Article
Language:deu
Published: Universidade de Brasília 2018-12-01
Series:Revista de Filosofia Moderna e Contemporânea
Subjects:
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
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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.
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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