The Japanese word for "contradiction" is mujun, 矛盾. According to Chinese legend, its characters refer to a merchant who claims to have both a halberd that can pierce anything and an impenetrable shield.
This notion of a sheer impossibility that goes beyond mere "contradiction" crystallized for me when I saw what might be the world's most unexclusive exclusives: special Baby Gap editions of the Maclaren Quest stroller.
I realized the strollers must be part of the Baby Gap Home offering. Sure enough, there were a couple of boardbooks on a shelf somewhere, too. And a little table & chair set, but that's a store fixture. Frankly, the strollers looked like any number of rigs abandoned by rack-flipping shoppers. Since there was no price tag on these floor models, you'd have to ask a sales associate for even the most basic information. Good luck with that.
Maclaren™ Quest stroller with "BabyGap exclusive prints", $249 [gap.com, thanks bob for the followthrough]