In this essay we compare different strategies to study the possibility of applying philosophical theories of social ontology to mathematical practice and vice versa. Analyzing the contributions to the special issue Mathematical practice and social ontology, we distinguish four main strands: (1) to verify whether the very act of producing mathematical knowledge is an intersubjective activity; (2) to explain how the intersubjective nature of mathematics relates to mathematical objectivity; (3) to show how this intersubjectivity-based objectivity is the result of social practice; (4) to understand whether, given the social nature of intersubjectivity-based mathematical objectivity, mathematical objects can be described by analogy with social facts as institutions.

Introduction: From Social Ontology to Mathematical Practice, and Back Again / Cantù, Paola; Testa, Italo. - In: TOPOI. - ISSN 1572-8749. - 42:1(2023), pp. 187-1. [10.1007/s11245-022-09870-6]

Introduction: From Social Ontology to Mathematical Practice, and Back Again

Italo Testa
2023-01-01

Abstract

In this essay we compare different strategies to study the possibility of applying philosophical theories of social ontology to mathematical practice and vice versa. Analyzing the contributions to the special issue Mathematical practice and social ontology, we distinguish four main strands: (1) to verify whether the very act of producing mathematical knowledge is an intersubjective activity; (2) to explain how the intersubjective nature of mathematics relates to mathematical objectivity; (3) to show how this intersubjectivity-based objectivity is the result of social practice; (4) to understand whether, given the social nature of intersubjectivity-based mathematical objectivity, mathematical objects can be described by analogy with social facts as institutions.
2023
Introduction: From Social Ontology to Mathematical Practice, and Back Again / Cantù, Paola; Testa, Italo. - In: TOPOI. - ISSN 1572-8749. - 42:1(2023), pp. 187-1. [10.1007/s11245-022-09870-6]
File in questo prodotto:
File Dimensione Formato  
articolo.pdf

accesso aperto

Tipologia: Versione (PDF) editoriale
Licenza: Creative commons
Dimensione 652.66 kB
Formato Adobe PDF
652.66 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2938318
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact