That’s your problem, not mine. If you can’t prove it, then perhaps you shouldn’t be quick to make such a bold claim.
Proving a negative is impossible? That’s a negative statement, in and of itself. In other words, you’re using one unprovable statement to defend another unprovable.
It’s also self-refuting and incorrect. As modern philosopher Stephen D. Hales says,
But there is one big, fat problem with all this. Among professional
logicians, guess how many think that you can’t prove a negative? That’s right: zero. Yes, Virginia, you can prove a negative, and it’s easy, too. For one thing, a real, actual law of logic is a negative, namely the law of non-contradiction. This law states that that a proposition cannot be both true and not true. Nothing is both true and false. Furthermore, you can prove this law. It can be formally derived from the empty set using provably valid rules of inference. (I’ll spare you the boring details). One of the laws of logic is a provable negative. Wait… this means we’ve just proven that it is not the case that one of the laws of logic is that you can’t prove a negative. So we’ve proven yet another negative! In fact, ‘you can’t prove a negative’ is a negative so if you could prove it true, it wouldn’t be true! Uh-oh.
Not only that, but any claim can be expressed as a negative, thanks to the rule of double negation. This rule states that any proposition P is logically equivalent to not-not-P. So pick anything you think you can prove. Think you can prove your own existence? At least to your own satisfaction? Then, using the exact same reasoning, plus the little step of double negation, you can prove that you aren’t nonexistent. Congratulations, you’ve just proven a negative. The beautiful part is that can do this trick with absolutely any proposition whatsoever. Prove P is true and you can prove that P is not false.Any mathematician can tell you the same thing. For example, even a freshman math major can use the principle of reductio ad absurdum to prove that there are no even prime numbers greater than 2. They can use the same principle to prove that there are no triangles in Euclidean space that have more than one right angle. In both cases, a “negative” can be proven in a straightforward fashion.
Even the infidels.org website – which is decidedly hostile toward theists, especially Christians – admits this! As Richard Carrier said on that very site, “I know the myth of “you can’t prove a negative” circulates throughout the nontheist community, and it is good to dispel myths whenever we can.” (I disagree with his conclusions regarding theism, but on this particular matter, he is absolutely correct.)
So no, it’s NOT true that you cannot prove a negative. Any logician can tell you that.
Unfortunately, people often do apply a double standard when it comes to theistic belief. They say, “If you say that there’s a God, you should provide proof!” while simultaneously refusing to proven their own claim that there is no God. The more careful skeptics don’t make such reckless statements; instead, they say they see no reason to believe in a god, or utter other milder claims. (I personally disagree with their assessment of the evidence, but I do commend them for avoiding the aforementioned double standard.)