MAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS*
Abstract Even though it is obvious that mathematics involves social activities, this rather trivial fact is rarely considered as important for its subject matter, mostly due to its undesired ontological consequences. An attempted solution for this tension was developed by Julian Cole’s institutional...
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Format: | Article |
Language: | English |
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Universidade Estadual de Campinas
2022-08-01
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Series: | Manuscrito |
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Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452022005003201&tlng=en |
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author | JOÃO VITOR SCHMIDT |
author_facet | JOÃO VITOR SCHMIDT |
author_sort | JOÃO VITOR SCHMIDT |
collection | DOAJ |
description | Abstract Even though it is obvious that mathematics involves social activities, this rather trivial fact is rarely considered as important for its subject matter, mostly due to its undesired ontological consequences. An attempted solution for this tension was developed by Julian Cole’s institutional account of mathematics, named Practice- Dependent Realism. In the present paper, Cole’s account is evaluated, and its lights and shadows assessed concerning the ontological problem that he seeks to solve. I argue that his institutional account, although failing in delivering a sufficient ontological account of mathematics, still opens an important linguistic route for explaining its practice. |
first_indexed | 2024-04-14T02:02:47Z |
format | Article |
id | doaj.art-ae535b9d7caf4a399381e927770017bb |
institution | Directory Open Access Journal |
issn | 2317-630X |
language | English |
last_indexed | 2024-04-14T02:02:47Z |
publishDate | 2022-08-01 |
publisher | Universidade Estadual de Campinas |
record_format | Article |
series | Manuscrito |
spelling | doaj.art-ae535b9d7caf4a399381e927770017bb2022-12-22T02:18:46ZengUniversidade Estadual de CampinasManuscrito2317-630X2022-08-0110.1590/0100-6045.2022.v45n4.jsMAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS*JOÃO VITOR SCHMIDThttps://orcid.org/0000-0003-3572-6306Abstract Even though it is obvious that mathematics involves social activities, this rather trivial fact is rarely considered as important for its subject matter, mostly due to its undesired ontological consequences. An attempted solution for this tension was developed by Julian Cole’s institutional account of mathematics, named Practice- Dependent Realism. In the present paper, Cole’s account is evaluated, and its lights and shadows assessed concerning the ontological problem that he seeks to solve. I argue that his institutional account, although failing in delivering a sufficient ontological account of mathematics, still opens an important linguistic route for explaining its practice.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452022005003201&tlng=enSocial ConstructivismPractice-dependentRealismJulian ColeJohn Searle |
spellingShingle | JOÃO VITOR SCHMIDT MAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS* Manuscrito Social Constructivism Practice-dependent Realism Julian Cole John Searle |
title | MAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS* |
title_full | MAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS* |
title_fullStr | MAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS* |
title_full_unstemmed | MAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS* |
title_short | MAKING THE MATHEMATICAL WORLD: ON JULIAN COLE’S INSTITUTIONAL ACCOUNT OF MATHEMATICS* |
title_sort | making the mathematical world on julian cole s institutional account of mathematics |
topic | Social Constructivism Practice-dependent Realism Julian Cole John Searle |
url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452022005003201&tlng=en |
work_keys_str_mv | AT joaovitorschmidt makingthemathematicalworldonjuliancolesinstitutionalaccountofmathematics |