News for hackers. Stuff that matters.

A comment on The Hilbert Hotel.

Re:The Hilbert Hotel by canoebuilder on Monday May 10, 2010 @01:20AM (#1333652)
"and that you’re convinced that any particular person will be reached in a finite number of steps."

How can any point in an infinite set be reached in a finite number of steps? For that to be the case, isn't the set in question necessarily a finite set between 0 and infinity?

[ Parent | on HN ]
Re:The Hilbert Hotel by stanleydrew on Monday May 10, 2010 @01:28AM (#1333666)
Take the set of natural numbers. Pick any one and count to it. The set of natural numbers has infinite cardinality, but any particular member of the set is finite and can be reached in a finite number of steps.
[ Parent | on HN ]