Does Randomness exist or is an illusion? Did God have any choice in whether to create/allow Randomness or not? Is there any connection between Free will and Randomness?
Change is not possible unless we have the autonomy of free will. The ability to turn yourself around can come only from within you;without free will there would be no purpose to life.
This is one of the reasons why quantum physics—random at its core—is so hard to understand. It is difficult for us to accept that at the core of our reality, there is nothing but randomness.
There are two things that stand in the way of Divine Providence—objective laws of nature and subjective human free choice. Laws of nature prescribe an object how to behave in a predictable fashion leaving little room for the manifestation of Divine providence. Likewise, the human choice leaves little room for Divine providence.
Some people may be fooled by randomness but, when we realize that randomness opens the door to the Divine, we are saved by randomness.
Relying on a random choice opens the door for the Divine providence.
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In his most famous book A Theory of Natural Philosophy (1758) RJ Boshkovich says: Regarding the nature of the Divine Creator, my theory is extraordinarily illuminating, and the result from it is a necessity to recognize Him. ... Therefore vain dreams of those who believe that the world was created by accident, or that it could be built as a fatal necessity, or that it was there for eternity lining itself along his own necessary laws are completely eliminated.