Absurdity means:
* The quality of being ridiculous or illogical. Something that is absurd is so unreasonable or outlandish that it is almost funny.
* A ridiculous or illogical idea or situation.
For example:
* "The idea that the earth is flat is an absurdity."
* "The whole situation was so absurd that I just started laughing."
If you meant to use "arburdity" in a different context, please clarify and I'll be happy to help!