Humanizing Mathematical Knowledge: Fallibility, Technology, Know-How (HUMATH)

Position: Post-doctoral research contract Institute: IUSS Pavia
New! Posted on: 01/04/2026 Deadline: 16/04/2026

Scientific-Disciplinary Group

11/PHIL-02 - Logic, History And Philosophy Of Science And Technology

Description

The project’s primary goal is to provide a multifaceted theory of mathematical knowledge and justification that makes sense of how mathematical knowledge is produced and shared among human agents. To reach this goal, the project will: 1. Develop a fallibilist theory of mathematical justification that satisfies social constraints. 2. Explore the interdependence between knowledge-that and knowledge-how in mathematics by focusing on how mathematicians use notations and diagrams. 3. Investigate the different roles that computers play in mathematical research, focusing on interactive proof assistants and generative AI applied to mathematics. This project has interdisciplinary roots: philosophy and mathematics. It is also relevant to mathematical education, cognitive sciences, and sociology. Moreover, the societal impact is substantial because it will contribute to changing the folk image of mathematics.

Number of positions

2

Funding body

Fondo Italiano per la Scienza