Science, the process of science, does not prove something as fact. It can only eliminate non-facts, and even then, the experiments may be flawed in their recognition.
> If you can't measure it or repeatably demonstrate it then it's probably not a fact. If it can, then it is a fact and no amount of emotionally wanting to believe something else can make it not a fact.
This is demonstrably false. If you witness an event once, you cannot necessarily repeat it, but you know for a fact that it happened. Unless you redefine the term "fact" narrowly, what you suggested is an ideology.
See how even the definition of "fact" is up for debate.