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Dario Fo, born in San Giano, Italy (1926), who wrote
The Accidental Death of an Anarchist (1970) and won the Nobel Prize in literature in 1997 said:
"With comedy I can search for the profound."
Comedy is a very serious business. It's hard to be funny. But you can't make it look hard or it stops being funny. (And you certainly can't be taking yourself too seriously either.)
Maybe that's why comedy is so under-rated.
You get them laughing, lower their defences, before you hit them with something deep. But they mustn't see it coming or it won't work.
Sometimes when you're writing you don't see it coming either. It's only later that you discover there's something profound in it. Then everyone's defences are down. Yours and the readers.
(Maybe that's the way it works best?)
As someone once put it: one minute you're laughing; the next you're thinking.