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  1. R

    Is every countable set infinite?

    Question is the same as the title. What I think is that since every countable set C ~ Z+( all positive integers) and Z+ is infinite, then C is also infinite. Sounds straightfoward but I need to check it. Thanks, Ronn
  2. R

    What if one of Dedekind cut's properties were omitted?

    Hello. I have a question about Dedekind' cut. Problem #20 of Baby rudin's p23 asks: prove why axiom (A5) on page 5 fails if cuts had maximum elements. (A5): To every x in F( a field) corresponds an element -x in F such that x + (-x) = 0. I guess Archimedean property is a starting...