On Dec 7, 9:26 am, WM <mueck...@rz.fh-augsburg.de> wrote: > On 7 Dez., 13:50, William Hughes <wpihug...@gmail.com> wrote: > > > You cannot find two natural numbers without one being larger. > > Therefore, any set of natural numbers has a largest > > element. > > Of course.
Now we get the usual, this brain dead argument must be true because I have another brain dead argument.
> You can easily see it by the sequence of sets of exponents > of the sequence a_k = 10^-1 + ... + 10^-k. > There no infinite set is contained. But every natural number is > contained. >
More Wolkenmuekenheim reasoning: Consider the sets b_k={k}. There is no set with two elements contained. But every natural number is contained.
