:2. assume pi contains pi as ''n'' significant digits in a finite representation of pi. Pi must also contain pi as ''n+1'' significant digits as the number of digits of pi is stretched to [[infinity]].
Stated another way, no one disputes that pi includes every number that has a finite representation. Thus pi includes itself in all of its increasingly precise representations, without limit, and therefore pi contains pi itself within a vanishingly small margin of error.
== Strings without termination ==