Reasons for and against arbitrary objects

• Grant number: 19/17407-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: January 01, 2020
• End date: December 31, 2020
• Field of knowledge: Humanities - Philosophy - Metaphysics
• Principal Investigator: Giorgio Venturi
• Grantee: Pedro Teixeira Yago
• Host Institution: Instituto de Filosofia e Ciências Humanas (IFCH). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 16/25891-3 - Arbitrariness and genericity: or on how to speak of the unspeakable, AP.JP

Abstract

Since antiquity philosophers raised questions about the objects of a mathematical theory: is there any such object? what is the nature of such objects? is there a difference between natural objects and mathematical ones? are mathematicalobjects able to ground the certainty of mathematics?Plato was the first to propose that mathematics is about universals. Indeed, platonic ideas represent the first interesting historical example of objects with a character of arbitrariness: objects able to represent the essence of concrete objects of which they are abstraction. Moreover, the history of arbitrary objects, already at the time of Plato and Aristotle, is deeply intertwined with that of logic, because of the universal character of the latter (i.e. the possibility of its application in any field of knowledge). Consequently the study of arbitrary objects follows the evolution of logic along its history.In this research we plan to trace a general history of arbitrary objects making explicit the arguments that philosophers gave in favour or against arbitrary objects and confronting them with the main themes of the modern developmentof logic. (AU)

Scientific publications

(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)

VENTURI, GIORGIO; YAGO, PEDRO TEIXEIRA. Tableaux for essence and contingency. LOGIC JOURNAL OF THE IGPL, v. 29, n. 5, p. 719-738, OCT 2021. (19/17407-2, 16/25891-3)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

YAGO, Pedro Teixeira. Essência e arbitrariedade. 2020. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Filosofia e Ciências Humanas Campinas, SP.