2022/07/07 by Claudio Ternullo, Ternullo, Claudio, Isabella Fascitiello +1
Mathematics · Arts and Humanities · #History and Theory of Mathematics #Historical Philosophy and Science #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.2207.03383
While Peano's negative attitude towards infinitesimals, in particular, geometric infinitesimals, is widely documented, his conception of a single infinite cardinality and, more generally, his views on the infinite, are a lot less known. The paper reconstructs the evolution of Peano's ideas on these questions, and formulates several hypotheses about their underlying motivations.