I’m not interested in what the dictionary says or a textbook definition I’m interested in your personal distinction between the two ideas. How do you decide to put an idea in one category versus the other? I’m not interested in the abstract concepts like ‘objective truth’ I want to know how it works in real life for you.
Belief is seeing that the light is green even when it isn’t.
Knowledge is accepting that the light is red when it is.
Believing that the light is green will not help you when you get flattened by a truck. Knowing that the light is red will keep you from dying pointlessly.
Knowledge is the first step on the path to wisdom. Belief is delusion.
If you cannot demonstrate, or point to a demonstration, then all you can do is guess. You can make an educated guess based on other demonstrations, but if you cling to your guesswork as if it were demonstrated to be true, and you internalize your guesswork as part of your identity, and you refuse to let go of it when confronted with contradictory demonstrations, then you are a fool.
Your description makes belief sound like willful ignorance.
It sounds like the real challenge is knowing when you have enough information to convert your educated guess into full-blown knowledge