论文标题

Peano对单一无限基数的概念

Peano's Conception of a Single Infinite Cardinality

论文作者

Ternullo, Claudio, Fascitiello, Isabella

论文摘要

虽然Peano对无限量的负面态度,特别是几何无限量,但他对单一无限基数的概念得到了广泛的记录,更普遍地说,他对无限的观点的观点鲜为人知。该论文重建了Peano在这些问题上的思想的演变,并提出了有关其基本动机的几个假设。

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.

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