Why aren't public shaming a form of punishment for out legal system?

[Esmoreit]

Galaki said:
Well, chopping the hands off is maybe a bit too much.

However, I wouldn't mind pedophiles getting their reproductive organ chopped off.

I'm not proposing we should chop them off, I'm just using it as an example that as a preventive measure public shaming will not work.

(chemical) castration of (repeated) pedophiles has also been a hotly debated issue in the EU. Final verdict: It's illegal as it's in violation of the human's right for body-integrity.