The notion of ‘blindness’ comes from the lack of a through passage (the ‘eye’). Attested since 1583, and used figuratively since the mid-19th century.
- Used other than as an idiom: see blind, alley. A street or passageway that leads nowhere.
- (figuratively) A course of inquiry that leads nowhere.
street that leads nowhere — see dead end
course of inquiry — see impasse