18
$\begingroup$

So it's easy to show that the rationals and the integers have the same size, using everyone's favorite spiral-around-the-grid.

Can the approach be extended to say that the set of complex numbers has the same cardinality as the reals?

  • 0
    One can show that $|\mathbb R| = |\mathbb R^2| = |\mathbb C|$2012-11-26
  • 5
    It's quite sad, but it's easier to write an answer than finding the duplicate. And I am **sure** this question has been asked before.2012-11-26
  • 2
    The best treatment of this in an existing answer is probably [here](http://math.stackexchange.com/a/183383/12042).2012-11-26

4 Answers 4