I hate arrogance, despise ignorance.

Arrogant because of ignorance, ignorance promotes arrogance. Arrogance shelters the ignorance, while being ignorant, feeling more arrogant.

Arrogance, together with ignorance, is equivalent to the ultimate annoyance.
... just like a tiny-biny rock in the shoe, annoying to the utmost irritation ...

I hate ignorance, disdain arrogance.