Silence gives you time to think.
If you do not waste time thinking of your answer when the other person is talking, you can listen to them. Then you craft an answer that is pertinent and wise.
Silence is celebrated in song.
"Silence is Golden" was a top 10 song in the 60s, "The Sounds of Silence" went platinum in the 70's . Who can forget "Silent Night". "Enjoy the Silence" by Depeche Mode.
Silence makes people think you know something they don't
Silence unnerves the other person who may be screaming. There is an old saying "If people think you are stupid, why open your mouth and prove them correct? Silence always contains a mystery.
Silence is charismatic
Your personal power is enhanced by the space you take up in a conversation by strategic silence. Deference is given to the silent, but engaged, person.
Silence is sexy
We have cultural reference to the "tall, dark, silent" type. Much has been written lately celebrating the sexiness of an introvert expressed through silence.
Silence is a hard value
Should you learn something that by saying it would harm people. Your silence is a virtue that will never be celebrated nor recognized. When you are silent the reward has to be self-recognition.