- #1
mmmboh
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Hi, I am independently learning analysis, I found videos online and Rudin's textbook, though I am unclear on one thing. I thought the point of dedekind cuts was to construct the reals without explicitly talking about the irrationals, which is why to get at the square root of 2 you let the cut be all rationals with x2<2, and x<0...But then how do you get numbers like pi, and e, or 21/2-1? If for example pi you said the cut where all rationals are less than pi, you would be explicitly talking about an irrational, which I thought goes against the purpose?
Would you instead take the power series representations?
Would you instead take the power series representations?