Explanatory and Heuristic Power of Mathematics

Explanatory and Heuristic Power of Mathematics

13-14 June 2019

Room XI, Villa Mirafiori - Dept. Philosophy - Sapienza University of Rome

Via Carlo Fea 2

Open to the public

Antonutti-Marfori, Marianna (MCPM Munich)

Avigad, Jeremy (Carnegie Mellon)

Bangu, Sorin (Bergen)

Carter, Jessica (Southern Denmark)

Cellucci, Carlo (Sapienza)

Colyvan, Mark (Sydney)

Danks, David (Carnegie Mellon)

De Toffoli, Silvia (Stanford)

Grosholz, Emily (Penn State)

Ippoliti, Emiliano (Sapienza)

Organization and info

Emiliano Ippoliti (Sapienza University of Rome)

[email protected]

Sapienza Department of Philosophy

Sapienza Ph.D. Programme in Philosophy

Under the auspices of the Italian Society for Logic and Philosophy of Sciences (SILFS)

Program

13 June 2019, room XI

10:30 opening

10:45-11:30 Mark Colyvan (Sydney), If 13 were not prime: mathematics and counterpossibles

11:30-11:50 discussion

11:50-12:35 Emiliano Ippoliti (Sapienza), Mathematical Representations: explanatory and heuristic power

12:35-12:55 discussion

Chair: Carlo Cellucci

lunch

15:00-15:45 Jessica Carter (Southern Denmark), Representations and growth of mathematical knowledge

15:45-16:05 discussion

Coffee

16:20-17:05 David Danks (Carnegie Mellon), Why are mathematical models useful in cognitive science

17:05-17:25 discussion

17:25-18:10 Emily Grosholz (Penn State), Big Data, Mathematical Models, Biological Research, and the Politics of Climate Change

18:10-18:30 discussion

Chair: Silvia De Toffoli

14 June 2019, room XI

10:30-11:15 Silvia De Toffoli (Stanford), Grasping How a Proof Supports its Conclusion

11:15-11:35 discussion

coffee

11:50-12:35 Jeremy Avigad (Carnegie Mellon), Reliability and Robustness in Mathematics

12:35-12:55 discussion

Chair: Emily Grosholz

lunch

15:00-15:45 Marianna Antonutti (MCMP Munich), De Re and De Dicto Knowledge of Mathematical Statements

15:45-16:05 discussion

Coffee

16:20-17:05 Carlo Cellucci (Sapienza), Prolegomena to a Heuristic Philosophy of Mathematics

17:05-17:25 discussion

17:25-18:10 Sorin Bangu (Bergen), Mathematical explanations of physical phenomena: a minimal characterization (and its problems)

18:10-18:30 discussion

Chair: Emiliano Ippoliti