I am using the word 'Evidence' per the first definition in the dictionary:
ev·i·dence
[ˈevədəns]
NOUN
- the available body of facts or information indicating whether a belief or proposition is true or valid:
"the study finds little evidence of overt discrimination"
So, for example, if two people claim to have seen the same ghost then that is 'evidence' (not proof) for the ghost.
Perhaps science cannot do much with that anecdotal evidence. But by having interest in more than science, I consider all evidence in forming my 'all things considered' position.
This is called normal human reasoning skills.