On 22 Feb., 02:08, William Hughes <wpihug...@gmail.com> wrote: > So > > A) For every natural number n, P(n) is true. > > implies > > B) For any n: There does not exist a natural number > between 1 and n such that P(n) is false > > However, we cannot conclude > > B') There does not exist a natural number > m such that P(m) is false
In potential infinity there is no actually infinite set, i.e., there is no completed infinity. That means there are only finite sequences. However we cannot find a last element, although we can conclude that it exists.
