What is a word that is analogous to parable or allegory but for a phrase instead of a story?

 

In other words, what word would describe a phrase, or even a word, that conveys a moral principle?

Maxim? Proverb? Aphorism? Saying?

philosophical?

Can a mere phrase convey a moral principle? I had to think about this: It requires cultural background and a knowledge of moral 'cliche's:

 

(1) "the early bird". moral principle: (opposite of sloth). requires knowledge of maxim.

 

(2) "Caesar's coin". moral principle: hypocrisy. NT Jesus dispute - background.

 

(3) "the sawed-off limb" moral principle: undermining your own support.

 

You could use these phrases in a warning sentence, like:

 

"Remember the hand that was bitten".