Ah, I see you are also wedded to a different definition of “given”. Wikipedia again shows that there is another common technical use of the word:
A given is a statement or a condition assumed to be true or known, often to explain or give an example of something
Shortly after that, it links to the page for “axiom”, which I think better describes the concept I’m referring to (and also has fewer alternative meanings):
An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
Do you agree that this concept is distinct from a guess before the evidence?
An assumption could be a best guess, so a best guess could be a given.
A given could also be a fact. A given could also be false but believed to be true.
For some people it is a given that God exists. That is not a fact, it is a belief by some people. It’s just taken to be true even though there is no evidence supporting that belief. It is faith which is an assumption not supported by the evidence.
A guess before the evidence can be a given, because as your quote says, “assumed to be true.” There might be no evidence supporting that assumption, which is faith. Faith is a belief not supported by evidence.
A given is not a concept it is simply a “starting condition” prior to the evidence. A given is just a prior condition. It is just what is available prior to the main idea.
You still haven’t answered this question:
Do you agree that the more days the sun rises the less likely it is to rise the next day?
Stop the press everybody, Motor’s right, he hit the bullseye, and when you go to the doctor and ask “what are the chances I have cancer?” it makes total sense for him to say “it’s 50/50”.