So if it can't be observed it isn't a fact? Are you an empiricist? — Tom Storm
Indeed, I am an empiricist.
The general use of the term 'fact' today is 'a true and settled statement about the state of affairs', or 'a statement that is known or proved to be true.' The implication is: undeniable by a sane person in good faith.
E.g. "It's a fact that Canada and the US share a rather long border". This example is purposely phrased a bit vaguely ("a rather long border"), because all human statements are ambiguous (to a smaller or larger degree), but note that it is still quite difficult to reject in good faith. So facts do not need to be super super precise to be facts.
My thesis is as follows: for a 'statement to be proved to be true' about some state of affairs, if empiricism is true and assuming the correspondance theory of truth,
some accurate observations must have occured. Some dude must have seen something for a fact to be a fact.
To come back to our example, if you look at a map of North America, assuming the map is an accurate compilation of accurate geographical observations (eg satellite observation today) by well-trained and dutyful geographers, you can observe that the border between the US and Canada is indeed rather long.
Therefore, a fact is an accurate observation of some state of affairs.
Additionally, a time-honored method to explore the meaning of a word is to look at its etymology, and figure out how the word in question
came to mean what it means today, via a historical evolution. It's like trying to trace the trajectory of a word's usage over time. Meaning being use, that method makes some sense.
Fact comes from Latin factum, neuter
past participle of facere ‘do’. The original sense was ‘an act’, something done. Something you can't change, by implication, because it belongs to the past.
So originally, a fact is an act. How did it come to mean 'a true statement' or 'an accurate observation'? This semantic transition happened in the 17th century, precisely when empiricism established itself as one of the pillars of modern science. (The other pillar being rationalism)
I propose that in the work of scientists, a lot of observations
get done, that observations are precisely an 'act’, something done. Something you can't change, by implication. If Galileo and others saw the moons of Jupiter in a correct or accurate observation, then it is a fact that Jupiter has moons.