I'm not talking about inheritance tax. I'm talking about taxing the huge incomes made by people with inherited wealth, which is a completely different thing.
Aside from that, inheritances should be taxed as gift to those individuals who inherit, with the exception of the resale value of agricultural land. This is not double taxation, as by definition it is going to a new person who has not paid taxes on it. To view it as individual dollars that have already had their share of income tax paid is simplistic. Furthermore, you are merely defending greed. The richest people can easily afford to pay more.
At the philosophical level it might appear to be fair, but on a practical level the enormous greed of the few in the face of the instability and lack of basics like housing and medicine by the many is at obscene proportions at the moment.