For any ordinal number 
, the successor of 
is 
(Ciesielski 1997, p. 46). The successor
of an ordinal number 
is therefore the next ordinal, 
.
Successor
See also
Limit Ordinal, Ordinal NumberExplore with Wolfram|Alpha
References
Ciesielski, K. Set Theory for the Working Mathematician. Cambridge, England: Cambridge University Press, 1997.Referenced on Wolfram|Alpha
SuccessorCite this as:
Weisstein, Eric W. "Successor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Successor.html