Ring true

What is the meaning of "ring true"? Thanks.

I'm pretty sure this relates to church bells. A well cast bell will sound the correct note - it will 'ring true'. If there's a defect in the bell, then the intended note will be false. By ananolgy those things which 'ring true' are considered correct.

"Ring true" is in fact the motto of a college that I know. What does it mean in this context then? How would you define/explain the word "ring" here? Thanks.

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