Overbelief is philosophical term for a belief adopted that requires more evidence than one presently has. Generally, acts of overbelief are justified on emotional need or faith

Faith

Faith is confidence or trust in a person or thing, or a belief that is not based on proof. In religion, faith is a belief in a transcendent reality, a religious teacher, a set of teachings or a Supreme Being. Generally speaking, it is offered as a means by which the truth of the proposition,...

, rather than evidence

Evidence

Evidence in its broadest sense includes everything that is used to determine or demonstrate the truth of an assertion. Giving or procuring evidence is the process of using those things that are either presumed to be true, or were themselves proven via evidence, to demonstrate an assertion's truth...

. It contrasts with the less-often debated concept, underbelief. Someone who fails to adopt a belief that they clearly have evidence for is committing underbelief.