The action of strangling may often (but not always) cause pain, especially when using the legs, and could have lethal consequences if applied long enough. That’s why they used to hang bad guys in the Old West: it hurt, and it was effective. Aside from that obvious point, cutting off the blood supply to the brain deprives the brain of oxygen and causes unconsciousness. The fact is, when you strangle or choke someone you are depriving him of his breath, and no matter how tough a guy is he still has to breathe.
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