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What is this sort of sentence/style/literary device called? I'm sure it has a name.

There is no love without forgiveness, and there is no forgiveness without love.

It appears that a point is being inverted to circularly tie to the initial point. I just don't know how to label this device.

Perhaps some more context:

There is no ice cream without vanilla, and there is no vanilla without ice cream.

or

Cookies are good, but there is no good without cookies.

I'd clarify this better if I had a clue of what's actually going on here, but to help you understand: people usually create statements this way to sound wise and/or righteous while causing a person to think (and it's usually a trivial attempt, for the record). It's a cliche style.

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I see the structure as a form of antimetabole but that wouldn't demand the conditional logic in your example. –  Dan Apr 24 '13 at 13:57
    
Oh my God. Thank you. You can post that as an answer. I was looking for "antimetabole." Sweet. I'll accept the answer. –  Mr_Spock Apr 24 '13 at 13:59

1 Answer 1

up vote 2 down vote accepted

The structure is that of an antimetabole.

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