March 9th, 2014, 04:51 PM  #1 
Newbie Joined: Mar 2014 Posts: 1 Thanks: 0  Is this statement true?
my first post ! im wondering, can we correctly say : a set cotaining the Empty Set is equal to the Empty Set ie does The Empty set = {The Empty Set} or is this like saying "...the number 5 is equal to {5}..." which it obviously is not... thanx 
March 9th, 2014, 06:00 PM  #2  
Senior Member Joined: Aug 2012 Posts: 1,922 Thanks: 534  Re: Is this statement true? Quote:
If you ever asked a grocery clerk to "Double bag it, please," then you saw them put an empty bag inside of a bag. The outer bag is not empty; it contains a bag. The inner bag is empty.  
March 9th, 2014, 06:06 PM  #3  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Is this statement true? Quote:
To be clear: the empty set { } is different from the set containing only the empty set, { { } }.  

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