3. The incorrect use of inductive logic of a following kind: if something did not occur for a long time, it will not occur the same long period.
This statement works only in the event that we unitary observed something during the casual moment of time and probability is in that case described by formula of Gott. It gives chance of end for any event in 50 percent in an interval from 1/3T to 3T, where T - age of object at the moment of its casual detection. However if we very long observe a certain process it evidently, comes nearer to the end. For example, if we take the casual human it, most likely, will be middle age. However if to take the casual human and then to observe very long him, we will unequivocally receive the very old man who can die at any moment. (See my article «Natural catastrophes and Anthropic principle» for more details.)