Ilocutionary acts in mathematics

• Grant number: 18/17011-9
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2019
• End date: July 31, 2021
• Field of knowledge: Humanities - Philosophy - Epistemology
• Principal Investigator: Marco Antonio Caron Ruffino
• Grantee: Marco Antonio Caron Ruffino
• Host Institution: Centro de Lógica, Epistemologia e História da Ciência (CLE). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated researchers: Giorgio Venturi ; Luca Francesco San Mauro ; Luiz Arthur Pagani
• Associated research grant(s): 20/00703-5 - Slurs semantics and illocutionary acts, AP.R SPRINT

Abstract

The purpose of this project is to bring together a linguist, a philosopher of language, and three philosophers of mathematics (two of them mathematicians themselves) for a study of the language of mathematics. More precisely, we will apply the contemporary theory of ilocutionary acts (taking as basis Austin (1962), Searle (1969, 1979) and Searle and Vanderveken (1985) to the language of mathematics. Our working hypothesis is that mathematics as a science contains in a essential way ilocutionary indicators in its language (both formal and informal). This is something new both in the philosophy of language and philosophy of mathematics, since ilocutionary acts theory normally focus only on ordinary language and situations of ordinary communication, while philosophy of mathematics normally focus on formalized language (leaving out pragmatic elements). The project will apply the theory of pragmatics to formalized languages of mathematics. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

RUFFINO, MARCO. Frege on Singular Senses. GRAZER PHILOSOPHISCHE STUDIEN, v. 98, n. 2, p. 316-339, JUN 2021. (18/17011-9)

RUFFINO, MARCO; SAN MAURO, LUCA; VENTURI, GIORGIO. Speech acts in mathematics. SYNTHESE, v. 198, n. 10, p. 10063-10087, OCT 2021. (18/17011-9, 16/25891-3)

RUFFINO, MARCO. Contingent a priori truths and performatives. SYNTHESE, v. 198, n. SUPPL 22, 22, SI, p. 5593-5613, OCT 2021. (18/17011-9)

RUFFINO, MARCO. Contingent a priori truths and performatives. SYNTHESE, JUL 2020. (18/17011-9)

RUFFINO, MARCO; SAN MAURO, LUCA; VENTURI, GIORGIO. Speech acts in mathematics. SYNTHESE, JUL 2020. (16/25891-3, 18/17011-9)

RUFFINO, MARCO. Stalnaker's Assertion and Wittgenstein's Tractatus 2.0211. DISPUTATIO-PHILOSOPHICAL RESEARCH BULLETIN, v. 10, n. 18, SEP 2021. (18/17011-9)