If you want to win this debate you must show that the universe needs no cause.
Take these two parallel arguments:
(1) It appears possible that time is an intra-universal phenomenon (you have no real evidence that it is not). Therefore, it does not appear necessary that there was a time before the beginning of the universe.
(2) It appears possible that causation is an intra-universal phenomenon (you have no evidence that it is not). Therefore, it appears not necessary for us to believe that the universe itself requires a cause.
So a first cause may exist, but it does not appear to exist of necessity. This is because you can't prove that causation is something that must extend beyond our own universe. After all, it seems logically possible for there to exist a universe where there are no causes and no effects (Plato's intelligible world might be an example of such a universe).
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