The error is in trying to predict that all people will die, when the more likely outcome is that civilization collapses and a shit ton of people die. That's not very likely to happen, unless the earth is hit by a rogue planet that kills everything alive, leaving earth as a dead hunk of rock(s).
Yeah it's only a 50℅ chance that everyone dies in the next 780 years according to Got's equation. Many people disagree too.
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