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Wasn't it Dedekind who defined an infinite set as a set which is in bijection with a proper subset? --Asafk 17:17, 20 February 2012 (PST)

I have this definition from my personal copy of "the principles of Mathematics" 1948 reprint of the 1903 edition, page 121. (I haven't yet included it in the library, sorry. I'm new here and haven't yet found out how this is done). Do you have a reference to an earlier reference by Dedekind?--ROD 06:39, 21 February 2012 (PST)

According to Herrlich's "Axiom of Choice" the origin is indeed by Dedekind, and he cites R. Dedekind. Was sind und was sollen die Zahlen? Vieweg Verlag, 1888. --Asafk 11:07, 21 February 2012 (PST)

Then I will change it. --ROD 11:15, 21 February 2012 (PST)