Prudenial reasoning is a kind of reasoning that doesn"t require an evidence but due to the circumstance you are being, it is prudent to try to believe a proposiion. Evidenial reasoning is a kind of reasoning that requires evidence to prove that the proposiion is true. e. g. suppose one day someone meet me for lunch. He is carrying a machine gun and a briefcase containing a million dollar. If i believe that the president of u. s. is juggling candy bars the million dollar is mine, if not i would be shot by the machine gun. It is raional to try to believe even though the proposiion is very improbable. If you have to decide whether or not to believe there is a god. There are two possible acions: believing in god or not believing. There is the way the world is: either there is a god or there isn"t.