Incapability of existing or occurring; impossibility.(noun)
Gnu Collaboartive International Dictionary of English: licensed under The Code Project Open License (CPOL)
Use "impossibleness" in a sentence
"Annie's touchy pride, mingled with what Vassie frankly called her "impossibleness," made the situation hopeless, for the former quality would not let her efface herself, and the latter prevented her daughter being called upon."
"I'd say the successful "impossible goals" that were accomplished in spite of their 'impossibleness' had a few things in common:"
"Sorry guys, there won't be much 'impossibleness' out of my case design."