User blog comment:Alejandro Magno/My Number is Larger than Yours!/@comment-4224897-20140920015907/@comment-1605058-20140920062338

By some ways of reasoning, this game is meaningless - are we allowed to skip infinitely many numbers? I suppose not. But then we cannot even go from 1 to 1,0000000000001, because there infinitely (even uncountably (continuum, to be exact)) many numbers inbetween we have skipped.