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QUESTION
Using Dedekind's notion of the real numbers, show that addition of two Dedekind cuts can be defined easily by S + T = {s + t : s S; t T}.
Using Dedekind's notion of the real numbers, show that addition of two Dedekind cuts
can be defined easily by S + T = {s + t : s ϵ S; t ϵ T}. Verify that S + T is a Dedekind cut and show that S+T = T+S
