You're still not doing what I asked. Find me anything that I accept as true, for which I do not have objective, demonstrable evidence. Go ahead. You made the claim, you back it up.
I just did.
You accept this statement as truth: "I expect
objective, demonstrable evidence for anything that I accept as truth."
Unless you are the only person in the world that functions this way, then this is the example you asked for.
If you want to understand WHY you (and everybody else in the world) often accepts things as true without meeting these criteria, then read some books/articles by the authors I suggested. Ultimately, it is just not possible due to time/cost/difficulty of getting information, limited cognitive abilities, our reliance on mental heuristics and the subsequent biases these create, cognitive dissonance, self-deception, etc.
As an example:
Attribute substitution is a psychological process thought to underlie a number of
cognitive biases and
perceptual illusions. It occurs when an individual has to make a judgment (of a
target attribute) that is computationally complex, and instead substitutes a more easily calculated
heuristic attribute.
[1] This substitution is thought of as taking place in the automatic
intuitive judgment system, rather than the more self-aware
reflective system. Hence, when someone tries to answer a difficult question, they may actually answer a related but different question, without realizing that a substitution has taken place. This explains why individuals can be unaware of their own biases, and why biases persist even when the subject is made aware of them.
In such a situation, you will accept something as true based on the mistaken assumption that the evidence you interpreted supports the thing you accept as being true. Thus, you will not have objective demonstrable evidence.
It is also almost impossible to get
objective, demonstrable evidence for many things. You might have some evidence, but you have to interpret it subjectively.
You also can't separate your decision making from your values, morals and ideologies, and these are largely subjective. We have all internalised things that are not true which affect our future interpretations of information. We all simply make mistakes and make decisions based on information learned from other people who have made mistakes without realising it.
Ultimately, we all have to make assumptions about many things otherwise we can't function and we all have believe things unsupported by objective demonstrable evidence.