Please clarify and nail that use down for me? Based on some evidence or no evidence for example. Is the difference between know and believe a scalar difference of knowledge or...?
Not really. Belief is acceptance based upon criteria other than fact, which is not or cannot be proven. Now, there are times when belief becomes justified by later discovered facts, but that simply moves things from one category to the other. Not a scale.
Knowledge is based upon fact. Things that can be rigourously proven and are demonstrable.
The Faith is belief, not fact. That the Bible exists (in its myriad forms) is fact, not belief. We believe that God inspired (and in the case of the Torah authored) the Bible. We know what the Canon of the NT is. Some examples, as it were.