Pi containing pi means that there will be a string of numbers that repeat themselves: from the beginning of pi to when it first begins to repeat itself, which then would repeat itself again and again. However, it is generally assumed that there are no repeating patterns in pi.
The flaw in this argument against pi containing pi is that the periodicity may not occur until after an [[infinite]] string of digits, and thus this creates no contradiction with pi being an [[irrational number]].
== Analogy to Life and Eternity ==