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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Main Author: JOÃO VITOR SCHMIDT
Format: Article
Language:English
Published: Universidade Estadual de Campinas 2022-08-01
Series:Manuscrito
Subjects:
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
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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.
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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
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