I believe in God and I believe that God is omniscient, in the sense that, as man tries to measure, he simply cannot go there.
I also believe that in that omnicience, there is a Wisdom God has that we lack, simply because God is all life and we are not all life, but merely one life form.
And the theoretical case that you suggest, may or may not even exist, and if it does exist, or it does not exist how could we even know with our limited perceptions.
Rene Descarte suffered the same quandry. And concluded I think therefore I am.
And I would like to add that if I believe that if I am, the reality of my awareness of this fact is life enough to be defined as God.
I define God simply as the connection of all life. And this mutual attraction between life forms I call Love, and I interchange the terms God and Love, as is done in certain Scripture. And when life forms are attracted to each other in Love, there seems to be a helping spirit that builds the bigger life form from the smaller life forms, and intergrates all life for the benefit of the total life creature. And destroys non cooperating life forms with disease and death.
Man has been studying this phenomonon for thousands of years, and over time has intercoursed with the spirits of these realities, concluding and writing of God as he, man, interpreted life presence spiritually and physically. And terms like omniscience, infinity and zero were simply created by man, defined as tools to study our existence in God and God in us.
Whether you believe in God or not is irrelevant, and whether omniscience applies or not is irrelevent, what is relevent is that we live and have spirits which give us sadness and joy. And I believe that the life in all of our integrated spirits is the essence of a One and Only Living God, regardless of terminology man creates to prove or disprove man's question.
According to Scripture God is simply, I Am. So the question is simply Does "I am" exist? And the fact that you can ask it would say, Yes! I Am, I exist, I am in God, God is in Me. QED.
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Copyright: 2002 Newell Elsworth Usher