
New Users Post up here and introduce yourself! 
 LinkBack  Thread Tools  Display Modes 
May 8th, 2018, 12:37 AM  #1 
Newbie Joined: May 2018 From: India Posts: 1 Thanks: 0  Each even number is equal to zero
Dear Friends I have come to know an interesting fact that every even number is equal to zero and every odd number is equal to 1; what's your view? Last edited by skipjack; May 8th, 2018 at 05:06 AM. 
May 8th, 2018, 01:34 AM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,889 Thanks: 769 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Please tell us why you are saying that. Dan Last edited by skipjack; May 8th, 2018 at 05:06 AM.  
May 8th, 2018, 03:22 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,448 Thanks: 2499 Math Focus: Mainly analysis and algebra 
I think that it's completely uninteresting until you explain yourself properly.

May 8th, 2018, 04:27 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,320 Thanks: 936 
Hmmm.....I wonder if any "integration" is involved....

May 8th, 2018, 05:18 AM  #5 
Senior Member Joined: Feb 2010 Posts: 694 Thanks: 132 
I wonder how old he is? Zero or one?

May 8th, 2018, 05:19 AM  #6 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,448 Thanks: 2499 Math Focus: Mainly analysis and algebra 
Goodness knows. But if $2a=2a+2$, then $a=a+1$ if dividing by $2$ makes any sense. So $0=1$. 
May 8th, 2018, 07:29 PM  #7  
Senior Member Joined: Sep 2016 From: USA Posts: 476 Thanks: 263 Math Focus: Dynamical systems, analytic function theory, numerics  Quote:
While I know you are aware of the distinction, I want to point out that the usual computation doesn't assume anything about invertibility. The argument goes like: If $2a = 2a + 2$, then $2a = 2(a+1)$. Since it holds for any $a$, it must hold in the case that $a$ is a unit and it follows immediately from uniqueness of inverses that $2a = 0 = 2(a+1)$. In a field, every element is invertible, hence the field has characteristic 2. The argument does not require any mention of inverting 2. In fact, everything in this argument goes through equally well for arbitrary local rings. In this case, the characteristic is replaced by the Jacobson radical, but otherwise, there is no reason to mention inverting elements or requiring more than just the ring structure.  
May 8th, 2018, 07:48 PM  #8 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,889 Thanks: 769 Math Focus: Wibbly wobbly timeywimey stuff. 
Good comments, but I just wonder when we'll hear from asitsikary. Unless, of course, he's a troll. Dan 
May 8th, 2018, 10:25 PM  #9 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry  

Tags 
equal, even number, number, odd number 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
natural number multiple of another number if its digit sum equal to that number  Shen  Elementary Math  2  June 5th, 2014 07:50 AM 
Groups, number of elements not equal to their inverse  Awesomo  Abstract Algebra  2  May 29th, 2014 12:52 PM 
Higgs Fields exactly equal this new kind of number  BenFRayfield  Physics  0  August 25th, 2013 06:20 AM 
Which inversed number is equal to its original form *2  onur851  Number Theory  11  July 19th, 2013 02:25 PM 
Which inversed number is equal to its original form *2  onur851  Complex Analysis  5  December 31st, 1969 04:00 PM 