How does “You can’t prove a negative” work?
In: Mathematics
“There is an alien in my house.” This is a positive. I can prove it by finding one alien in my house one time.
“There is no alien in my house.” This is a negative. I can’t prove it. Even if I check every square inch of my house, maybe they are really small and I can’t see them. Maybe they are invisible. Maybe they know how to stand directly behind me at all times. There is always a chance that an alien exists, even if it’s the tiniest chance imaginable.
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