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Jan 13 at 8:35 comment added NikS @AlecRhea : The preface of that Dedekind monograph actually cites Cantor’s 1878 Beitrag zur Mannigfaltigkeitslehre, which I think is the first appearance of the concept of different set “cardinalities” as defined via bijection. But I don’t recall it containing a formal definition of infinity per se.
Aug 3, 2023 at 16:58 comment added Alec Rhea Thank you, I realized while reading your post that I’m not familiar enough with Cantor’s work to say when he first wrote down what might amount to a formal definition either; I’ll edit the question accordingly.
Aug 3, 2023 at 4:40 history answered John Stillwell CC BY-SA 4.0