A leap of faith is the act of believing in something without, or in spite of, available empirical evidence. It is an act commonly associated with religious belief as many religions consider faith to be an essential element of piety.
The implication of taking a leap of faith can, depending on the context, carry positive or negative connotations as some feel it is a virtue to be able to believe in something without concrete proof, while others feel it is foolishness. It is a hotly contested theological and philosophical concept.