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“There is very little hope for life of any kind surviving the big crunch in a closed universe. However, one cannot be dogmatic about this as one does not know the limits of human ingenuity. If indeed the universe is closed, we probably have tens of billions of years to think about how to survive the big crunch, if it is not against the laws of nature that something should survive.” — Jamal Nazrul Islam
There is very little hope for life of any kind surviving the big crunch in a closed universe. However, one cannot be dogmatic about this as one does not know the limits of human ingenuity. If indeed the universe is closed, we probably have tens of billions of years to think about how to survive the big crunch, if it is not against the laws of nature that something should survive.