Forum:Second uncountable ordinal

It doesn't seems that the name "the second uncountable ordinal" is a good for that ordinal which we usually mean. In fact, is the ordinal \(\omega_1+1\) uncountable? If yes, then there are namely two uncountable ordinals which are no larger than \(\omega_1+1\), meaning that it is the second uncountable ordinal. I propose to call it the "ordinal with the second level of uncountability". Ikosarakt1 (talk ^ contribs) 16:21, August 9, 2013 (UTC)