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June 7th, 2013, 01:19 AM  #1 
Member Joined: May 2013 From: Phnom Penh, Cambodia Posts: 77 Thanks: 0  impossible (prove that 0 = 1)
Can you solve that 0=1 by using at least two different methods?

June 7th, 2013, 02:18 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361  Re: imposible
0*0 = 0*1 Divide by 0. Gives 0 = 1. Like this, many ways can be found. 
June 7th, 2013, 08:37 AM  #3 
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: imposible 
June 7th, 2013, 11:32 AM  #4 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,138 Thanks: 872 Math Focus: Wibbly wobbly timeywimey stuff.  Re: impossible (prove that 0 = 1)
Don'tcha just hate explaining why that last one is wrong? Dan 
June 7th, 2013, 03:25 PM  #5 
Member Joined: May 2013 From: Phnom Penh, Cambodia Posts: 77 Thanks: 0  Re: impossible (prove that 0 = 1)
So interesting with the solution of two of you. I have just found another way to show that 0=1. lim(x>0) of (2013/x +1) =lim(x>0) of (2013/x) +1= indefinite +1=indefinite Then, simplify indefinite we obtain 1=0. 
June 7th, 2013, 09:11 PM  #6 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: impossible (prove that 0 = 1)
Suppose it is not clear what sqrt(1) is, consider... So even if is defined as +1 , you still get 
June 9th, 2013, 02:24 AM  #7 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: impossible (prove that 0 = 1)
0 = 1 In the trivial ring. http://mathworld.wolfram.com/TrivialRing.html http://en.m.wikipedia.org/wiki/Trivial_ring 
June 9th, 2013, 04:28 AM  #8  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: impossible (prove that 0 = 1) Quote:
 
June 9th, 2013, 05:18 AM  #9 
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: impossible (prove that 0 = 1) 
June 9th, 2013, 07:22 AM  #10 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,334 Thanks: 1024  Re: impossible (prove that 0 = 1)
If a hockey game ends 00, then overtime is played until 10; the loser gets 1 point in the standings, so 0 = 1 

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