That&#x27;s not what larger means, that&#x27;s what (maps into a) strict subset means.  In finite numbers, that&#x27;s the same as larger (greater cardinality), but it&#x27;s very much not the case for infinite numbers.<p>There are more than two sizes of infinite sets, but there are just as many real numbers as imaginary numbers for the same reason there&#x27;s just as many integers as rational numbers.<p>Try reading this:  <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Cardinality#Infinite_sets" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Cardinality#Infinite_sets</a>