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 November 28th, 2013, 01:22 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, 01:34 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, 02:06 AM   #3
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Quote:
 Originally Posted by agentredlum Under the binary operation of multiplication zero is the destroyer , a cannibal that devours everything and turns it into itself. The ultimate villain.
Good one. Formally speaking, 0 is the element which "absorbs" any other element under multiplication, i.e., the map a ? a * 0 for a in N brings down the whole (N, *) onto 0.

 November 28th, 2013, 02:17 AM #4 Member   Joined: Aug 2012 Posts: 72 Thanks: 0 Re: reading comphernsive thanks
 November 28th, 2013, 07:25 AM #5 Global Moderator   Joined: Dec 2006 Posts: 19,968 Thanks: 1850 Re: reading comphernsive What was the topic title supposed to be?

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