The epicness aside. We can make predictions about our fate. Just like if I were to throw a baseball at you I could make the prediction that, if you weren't looking, it would hit you. It does not require the mind of god, but a mind that wishes to know the mind of "god."
sooner or later the universe will stop expanding and then all hell breaks loose so i guess the big crunch would be correct (i also heard about a big chill or something so yeah....)