irrationale

like a rationale, but insane rationally!
something people base conversations, politics, ways of being or actions on that makes no sense, or is based on a logical fallacy.

eg: James has got a parking ticket, therefore he doesn't respect society and should be stopped!

person 1: James has got a parking ticket, therefore he doesn't respect society and should be stopped!
person 2 (in their own head): that's an irrationale.

irraticate

To put it in with no stopping

Im going to irraticate you till you cry for help

Irrator

This is a word used to describe the person in a group of friends who gets picked on but it still a cool person and takes it as a joke.

you're an irrator