Although Peano’s negative attitude toward infinitesimals—particularly, geometric infinitesimals— is widely documented, his conception of a single infinite cardinality and, more generally, his views on the infinite are less known. In this article, we reconstruct the evolution of Peano’s ideas on these questions and formulate several hypotheses about their underlying motivations.
Peano’s conception of a single infinite cardinality
Ternullo C.;
2023-01-01
Abstract
Although Peano’s negative attitude toward infinitesimals—particularly, geometric infinitesimals— is widely documented, his conception of a single infinite cardinality and, more generally, his views on the infinite are less known. In this article, we reconstruct the evolution of Peano’s ideas on these questions and formulate several hypotheses about their underlying motivations.File in questo prodotto:
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