# The minimal uncountable well-ordered set

#### topsquark

##### Well-known member
MHB Math Helper
I once asked about this on MHF and didn't really get anywhere with it. (I thought things made sense and eventually ended up just as confused as before.)

Does anyone have an example of the minimal uncountable well-ordered set, where every section is countable? I'm still at the point in my self taught Mathematical skills that I need examples in order to understand the topic. Sad, but true.

-Dan