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.
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.