That is what I was trying to get across, and your argument is very in depth and I'm not sure if I picked everything up correctly, it seems to me that your response leads back to the idea that there is a beginning of God.
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If time has a beginning, yet something exists for ALL real time values, then it would seem to me that this thing, whatever it is, would also have a beginning with time, and still have always existed.
For if there is a beginning of time, for it to exist from it's start, then it would still have to be created under some capacity because that would be a beginning, which gives the Universe just the same possibility to come from nothing should such a being as God be able to.
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For instance, the set of all positive whole numbers is infinite, but only in one direction. It starts at 1 and goes on forever.
I understand this and have thought of a ray of light, which is why I said it may not actually have an end, but must have a beginning or it wouldn't reach a point. And for time to only be local to the Universe, how can anything act beyond the bounds of time? That would be a frozen image, would it not? Also consider where memory would begin--would there not have to be a point where you do not remember anything prior? That is a key component why it seems without a beginning nothing would come to pass.