TL;DR
This paper explores the historical development of equivalence relations, Cauchy sequences, and metric spaces, proposing that outdated definitions of these concepts could be beneficially reconsidered.
Contribution
It highlights the potential value of revisiting and reviving disused definitions in the foundational concepts of mathematics.
Findings
Historical analysis of key mathematical concepts
Proposes revival of outdated definitions
Suggests potential benefits for mathematical understanding
Abstract
The topic is the history of the concepts of equivalence relation, Cauchy sequence, and metric space. The thesis is that disused definitions of these notions could profitably be revived.
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