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It should be noted that the ben sorer u’moreh – the stubborn and rebellious son who is “a glutton and a drunkard” (see Devarim 21:18-21) – has not committed any capital crimes. According to the Mishna on our daf the death sentence that he receives is al shem sofo, yamut zakkai ve-al yamut ḥayyav – he is killed because of where he will end up if he is allowed to continue in his present path.
The Torah’s perspective is that he should die while still innocent rather than die when he is already guilty.
This understanding of the underlying reasons for the laws of ben sorer u’moreh notwithstanding, according to the traditions of the Sages, the rules and regulations associated with ben sorer u’moreh are to be understood in such a limited manner that they cannot be practically applied or will apply only in very unusual circumstances. In fact it appears likely that the laws of ben sorer u’moreh were never carried out.