Earlier definitions of equivalence relations, Cauchy sequences, and metric spaces were replaced but could usefully be revived according to this historical analysis.
Bolzano.Rein analytischer Beweis des Lehrsatzes daß zwischen je zwey Werthen, die ein entgegengesetzetes Resultat gew¨ ahren, wenigstens eine reelle Wurzel der Gleichung liege
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The history of three wrong definitions
Earlier definitions of equivalence relations, Cauchy sequences, and metric spaces were replaced but could usefully be revived according to this historical analysis.