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If time needs a reference in order to be measured, then outside of that reference, time does not exist, therefore applying some notion of infinity to it seems illogical since it can't be measured outside of a reference.
I believe infinity exists simply because I can't see a reason not to believe it exists. However, proving it becomes paradoxical because we would need an infinite existence to prove it.
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"I can normally tell how intelligent a man is by how stupid he thinks I am" - Cormac McCarthy, All The Pretty Horses
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