Halakhah for Nedarim 27:3

And regarding a vow (neder), a different approach pertains to it - as it is like placing something permissible into the category of the forbidden, and [it is] as if he would say thing x which is permissible will be forbidden to him, like a sacrifice that God, may He be blessed, forbade. And they, may their memory be blessed, said (Nedarim 14a) that only when he makes the vow with a thing that is vowed (that changes status) does his vow stand, and not in another way. As if he says, "Thing x is forbidden to me like a sacrifice," as we have said; in this [way], the vow will stand (Nedarim 13a). But if he says, "like the meat of a pig," this is not a vow; as the Torah stated (Numbers 30:3), "If he vows a vow," meaning to say, "if he vows with something that is vowed." And so, one who forbids something to his fellow or to himself like the matters of a sacrifice that God, may He be blessed, forbade, is like this matter (like something vowed); since it is as if he said [that] thing x will be forbidden to him or to his friend, [just] like God, may He blessed, forbade us the matters of a sacrifice. And this matter that we have the power to forbid the permissible is because the Torah taught us this, from that which is written (Numbers 30:3), "If [...] he creates a prohibition [...], he may not break his word."