It’s not my distinction, it comes from systematic theology; it’s a logical distinction
for the purpose of clear thinking.
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Then you abhor the scriptures because God specifically declares that He is the one Who creates calamity.
And the account of the Exodus are clear on that: God sent afflictions on the Egyptians.
Then of course there is the example of Jesus, to Whom the Father gave the cup of suffering.
The Jews in Auschwitz and Treblinka who assert confidently that God sent all that suffering to them did so because they recognized that God is GOD, that He is the All-Ruler, and nothing happens apart from Him.
I’m going to bring up here another logical distinction from systematic theology: God’s prescriptive will, and God’s permissive will. One is what He mandates, the other is what He allows – but by any moral model, if something is allowed to happen it is the responsibility of the one who allows it. That is what those Jews in the Nazi camps recognized.
The only other choice is that God lacks the power to prevent things.