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November 28th, 2013, 12:22 AM  #1 
Member Joined: Aug 2012 Posts: 72 Thanks: 0  reading comphernsive
In Wikipedia there is the following definition: "Robinson arthimetic. Addition and multiplication are recursively defined by means of successor. 0 is the identity element for addition, and annihilates multiplication. Robinson arithmetic is listed here even even through it is a variety, because of its closeness to Peano arithmetic." What the meaning of annihilates multiplication? 
November 28th, 2013, 12:34 AM  #2 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: reading comphernsive
Under the binary operation of multiplication zero is the destroyer , a cannibal that devours everything and turns it into itself. The ultimate villain. Not to worry though , under addition zero is the preserver , the ultimate defender and protector leaving everything unchanged. The greatest hero of all time. 
November 28th, 2013, 01:06 AM  #3  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: reading comphernsive Quote:
 
November 28th, 2013, 01:17 AM  #4 
Member Joined: Aug 2012 Posts: 72 Thanks: 0  Re: reading comphernsive
thanks

November 28th, 2013, 06:25 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 18,721 Thanks: 1536  Re: reading comphernsive
What was the topic title supposed to be?


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