Project
Phenomenological analysis of Benacerraf's epistemological problem
My research project will in two specific articles - What numbers could not be? and The mathematical truth, the Benacerraf dilemma: 'either we postulate that mathematical language refers to abstract objects -such as classes, numbers, etc.- or we refuse such a postulation'. I will frame the problem in the following Husserlian works for their relevance for the phenomenological method and for the philosophical attempts regarding the relation between philosophy and science.
Bio
I'm a doctoral candidate in the Philosophy of Mathematics at the Albert-Ludwig University in Freiburg, Germany. I earned a Bachelor’s degree in Physics and Mathematics (UMSNH) and a Master's degree in Philosophy and Social Sciences (ITESO). Merging these disciplines, I focused on phenomenological approaches to foundational questions in mathematics—particularly exploring Benacerraf's epistemological dilemma and how abstract objects might be reconciled with human cognition. I taught philosophy, mathematics, and sciences in Mexico—including at the Canadian School (Guadalajara)—and I served as a spiritual director and workshop facilitator, emphasizing the interplay between contemplative practices and intellectual inquiry. A committed polyglot, Roberto is fluent in Spanish (native), French (DALF C1), English (CAE C1), and Portuguese (C1), with intermediate German (B2) and working knowledge of Greek and Italian. His current research seeks to illuminate the ontological and epistemic status of mathematical entities from an intercultural and multilingual perspective.
