3 ms·
Well, if I remember correctly, a product of an irrational and a rational is still irrational, right? If so, here's a simple argument: If you have N rational nu
by saltcured 9y ago
Well, if I remember correctly, a product of an irrational and a rational is still irrational, right?
If so, here's a simple argument: If you have N rational numbers and I have K irrationals to start with, I can produce roughly N*K additional irrationals. Since we know at least two irrationals (pi and e) we can make at least twice as many irrationals as rationals.
- jjgreen 9y agoUnfortunately this argument fails -- there are twice as many whole numbers as there are odd numbers right? but they are in 1:1 correspondence 0 <-> 1 1 <-> 3 2 <-> 5 : so the odd and whole numbers have the same cardinality: there are the same number of each.