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November 28th, 2013, 01:22 AM   #1
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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?
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November 28th, 2013, 01:34 AM   #2
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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.

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November 28th, 2013, 02:06 AM   #3
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Re: reading comphernsive

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.
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November 28th, 2013, 02:17 AM   #4
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Re: reading comphernsive

thanks
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November 28th, 2013, 07:25 AM   #5
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Re: reading comphernsive

What was the topic title supposed to be?
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