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1. Is it your position that the commandment is to eradicate specific societies/cultures? Or to eradicate specific genetic blood lines?

A position? I have no position on these matters. There is a commandment to perform. Since we do not know today who these people are, we have to wait for Moshiach to tell us who they are. I have an opinion regarding who they are, but it is not relevant.

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2. If the FORMER (ie, to eradicate a specific society/culture), then what is your basis for so confidently saying they still exist today? And is it your position that these societies/cultures will exist even after moshiach?

Since they were not wiped out,their physical and spiritual descendants are still around to this day. That is the opinion of the Rabbis; as I mentioned, my opinion is not relevant.

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3. If no (ie, they will not exist after moshiach), then how would this commandment to eradicate them still apply in practice after moshiach?

He will tell us what to do.

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4. If yes (ie, they will exist after moshiach), then is your position that such irrevocably evil societies/cultures will never be completely eradicated - that the messianic era will include the continuation of these irrevocably evil societies/cultures?

When the messianic era starts, the entire human society will change. It will initiate the perfect world of peace and prosperity. This will be the culmination of the creation of the world. The Rabbis teach us that at this point, evil will not be able to exist.

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5. Also, (if they will exist after moshiach), then how do you reconcile the continued existence of such evil societies/cultures with "in that day HaShem will be one and His name shall be one" (Zechariah 14 : 9)?

Because then they will either follow Hashem or be wiped out. I rather hope that the nations of the world choose the former.

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6. If the LATTER (ie, to eradicate a specific blood line), then how does your position reconcile with the concept that man is to be killed in his own sin only?

Thankfully, I do not have to deal with these issues at all. When the time comes, Moshiach will tell us what to do.

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My understanding is that the Hebrew word, mitzvah, is defined as commandment. While not every Torah commandment is included in the 613, they are all rightly called mitzvot. How do you understand this?

I refer to the taryag mitzvos.

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would you please explain how your position reconciles with your participation on the Internet?

That is between me and my Rabbi.