Fact requires physical proof of existence. Fact requires observable cause and effect.
I disagree about the cause and effect--explaining facts is the role of hypotheses and theories.
From something I did a long time ago:
Observation: any information collected with the senses.
Data: Individual measurements; facts, figures, pieces of information, statistics, either historical or derived by calculation, experimentation, surveys, etc.; evidence from which conclusions can be inferred.
Fact: when an observation is confirmed repeatedly and by many independent and competent observers, it can become a fact.
And as explained by Heinlein many years ago,
Piling up facts is not science--science is facts-and-theories. Facts alone have limited use and lack meaning; a valid theory organizes them into far greater usefulness.
Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.
Belief gets in the way of learning--Robert A. Heinlein
How can I possibly put a new idea into your heads, if I do not first remove your delusions?--Robert A. Heinlein
It's not what we don't know that hurts, it's what we know that ain't so--Will Rogers
If I am entitled to something, someone else is obliged to pay--Jerry Pournelle
If a religion's teachings are true, then it should have nothing to fear from science...--dwise1
"Multiculturalism" demands that the US be tolerant of everything except its own past, culture, traditions, and identity.