If you're tired of that one, there's also a new problem of induction. Or, you could watch this video of Lewis Black describing his failure to reason inductively every year around Halloween:
Hume argues that attempts to justify induction beg the question: we believe in inductive reasoning because we think the future will be like the past. But the only reason we believe that is because we trust inductive reasoning: we've seen past patterns continue before a lot, so assume it will keep going that way! That begs the question: it assumes the very thing we're trying to prove. Here's a dinosaur comic on question-begging.
Finally, here's a stick figure comic about scientists' efforts to confirm that the future will be like the past.
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