4 ms·
in between any two real numbers, there is a rational number, and vice versa.
by noqc 1y ago
in between any two real numbers, there is a rational number, and vice versa.
- concordDance 1y agoAnd yet somehow there are infinity times more reals than rationals... Very hard to get your head around!
- noqc 1y agoAn fun, immediate, horrifying, consequence. If I remove n elements from R, the remainder has n+1 connected components. The complement of Z in R has |Z| connected components. The complement of Q in R has |R| connected components.