X-Nico

unusual facts about Successor cardinal


Successor cardinal

This coincides with the ordinal successor operation for finite cardinals, but in the infinite case they diverge because every infinite ordinal and its successor have the same cardinality (a bijection can be set up between the two by simply sending the last element of the successor to 0, 0 to 1, etc., and fixing ω and all the elements above; in the style of Hilbert's Hotel Infinity).



see also

Pierre Toussaint

In 1991 his successor, Cardinal John O'Connor, strongly supported Toussaint for sainthood and began the official process, thereby according him the title of Servant of God, and sent the needed documentation to the Vatican for this process.