Am Donnerstag, 5. Dezember 2013 19:54:37 UTC+1 schrieb Zeit Geist:
> > > Whether or not something like d is in the rationals-complete list can only be judged by means of the d_n - at least in mathematics. > > > > > > > How can we judged the properties of a given object based the properties of a set of others object which the given object is not a member of?
> > > > Its like saying are cats are feline, hence my dog is a feline.
No unsuitable analogies please. The difference of d and all entries of the list, if existing, does not fall down from heaven. It can be proven by digits which belong to FIS as well as to d or it cannot be proven. > > > > > > > What is the reason for this strange behaviour? > > > > > > > Because d is not one of the d_n, it can have properties that none of > > > > them can have, like not being one of them. > > > > > > The property of differing or not depends on the d_n only. Note that Cantor's diagonal argument only uses the d_n.
> > > The property of differing depends on All place values of the decimal representation of d.
That is easy to contradict. The property does not depend on the first n digits. They have many duplicates. For every n in |N.