History of logic and mathematics
I am a junior researcher at the Center of Philosophy of Sciences of the University of Lisbon.
Previously, I was a postdoctoral researcher at the Institute of Philosophy of the Czech Academy of Sciences. Before that, I was a lecturer at the Department of Philosophy of the University of Barcelona, where I taught Logic for undergraduates.
I completed my PhD in the Pure and Applied Logic programme of the University of Barcelona, under the supervision of Calixto Badesa and José Martínez. My dissertation develops a heterodox reconstruction of Frege’s early logic and argues against its usual interpretation as a second-order logic.
My research is focused on the history of early mathematical logic. I am currently working on a historical and philosophical analysis of the formalisation of logic in the late nineteenth century. In particular, my current research focuses upon the relationship between Russell’s and Hilbert’s developments in mathematical logic. I have also worked on Frege’s early logic, specially on his early endorsement of logicism, and the relationship between Frege and Schröder’s conceptions of logic; and on Peano’s logic, and his axiomatisations of arithmetic and elementary geometry.
I am also interested in the history and philosophy of mathematics, theories of truth and the history of philosophy.
My CV.
Note: My name is “Joan” and my surname is “Bertran San Millán”. It is customary in Spain to keep the surnames of both progenitors; “Bertran” is my father’s surname and “San Millán” is my mother’s surname. Although I just use “Bertran” in informal contexts, I prefer to keep both surnames in academia. To avoid confusions, I add hyphens to my surname, “Bertran-San-Millán”, as if it were a (long) single whole. If you quote any of my papers, please use “J. Bertran-San-Millán”.