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April 25th, 2014, 12:00 PM  #1 
Newbie Joined: Apr 2014 From: zagreb Posts: 2 Thanks: 0  help
can anyone PLEASE! prove there's least nonempty limit ordinal? it's natural numbers, but I failed with jechset theory.

April 25th, 2014, 12:27 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
All the ordinals smaller than $\omega$ are finite, right? 
April 25th, 2014, 03:21 PM  #3 
Newbie Joined: Apr 2014 From: zagreb Posts: 4 Thanks: 0 
Yes. It's the least infinite and the least limit ordinal.
