(すじ)(とお)

すじがとおる
expression
to make sense; to be logical; to be consistent
cognition
1. to make sense; to be logical; to be consistent; to be coherent
For an argument, explanation, or course of action to follow a clear, logical thread from beginning to end.

(すじ)(とお)る uses (すじ) in the sense of "logic" or "reasoning" (like a thread running through something) and (とお) (to pass through). The image is of a logical thread running cleanly through an argument.

The negative form (すじ)(とお)らない means "to not make sense" or "to be illogical."

Common patterns

Related words