1
$\begingroup$

Given two Dedekind cuts, $X, Y \in \mathbb{R}$, define addition and multiplication of real numbers. (I was thinking that it should match up with the already established properties like identity and associativity. I tried to work it out using things like union or intersection, but nothing seemed to work.)

No other functions are allowed.

  • 0
    Try addition. :)2012-10-09
  • 0
    @Hurkyl I mean in terms of set theory with use of Dedekind cuts.2012-10-09
  • 4
    You have to use rational number arithmetic *somewhere*....2012-10-09

1 Answers 1