From my dictionary ...
SYN -- belief, the term of greatest application in this comparison, implies complete, unquestioning mental acceptance of something as true, even though absolute certainty may be absent; faith, implies complete, unquestioning acceptance of something even in the absence of truth and, esp., of something not supported by reason ...
Have a great day.
Hebrews 11:1: “Now faith is the substance of things hoped for, the evidence of things not seen.” Not quite your definition.