To get you up to date. Nothing you know is reality. All mainstream history is fake. Even geology is nowhere near reality. The citizens need to make their own lessons learned book. We could be farther than we are, we could be swinging on a star. But for sure we would better than we are.
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It's easy - you could personally come and check my desk existence, if you need a proof of that. If you couldn't do that practically, for any fair reason, you could only have an unverified theory about my desk existence. It's up to you then, to somehow use that theory in a building of your world view or not.
There could be situation, when something you could personally check is impossible without my desk existence, then, you will have to accept that theory that my desk exists is correct to be able to move further. You could later find a theory how thing you could personnaly check is possible without my desk existence, but until that, you have to hold to the unverified theory that my desk exists. This does not work in opposite way - you can't prove non-existence of my desk disproving theory that depends on existing of my desk.
You can't prove non-existence, but you can exclude existence of something from being a foundation of anything else in your picture of reality.