3 papers
math.HO2023
Platonism, De Re, and (Philosophy of) Mathematical Practice
Marco Panza
The chapter advances a reformulation of the classical problem of the nature of mathematical objects (if any), here called "Plato's problem," in line with the program of a philosoph…
math.LO2021
Frege's Theory of Real Numbers: A consistent Rendering
Francesca Boccuni, Marco Panza
Frege's definition of the real numbers, as envisaged in the second volume of \textit{Grundgesetze der Arithmetik}, is fatally flawed by the inconsistency of Frege's ill-fated \text…
stat.OT2021
The Agnostic Structure of Data Science Methods
Domenico Napoletani, Marco Panza, Daniele Struppa
In this paper we argue that data science is a coherent and novel approach to empirical problems that, in its most general form, does not build understanding about phenomena. Within…