O, I get it.<p>There is a basic contradiction in set theory.  Called Russell&#x27;s paradox, there are two ways around it. First is ignoring it, aka everything builds from it&#x27;s self nothing can become recursive.  Or Zer&#x27;s something or other that basically removed membership and equality and hides in the corner crying.<p>As such infinity is generally assumed not to exit in R.  And causes all this all infinite set&#x27;s map able to each other are equivalent size crap.  It&#x27;s also why real mathematicians laugh at the set guys.<p>But, sorry the way R was initially defined it included infinity and you only get to put it into 1 place on your mapping.  Or as a math professor said, what angle is the highest number in R mapping to.