Mathematics – General Mathematics
Scientific paper
2011-04-20
Mathematics
General Mathematics
This paper has been withdrawn by the author due to an elementary flaw in the argument of Theorem 1
Scientific paper
We assumed that, for every natural number k, there is a natural number u such that the (k-1)th term of G(u) is k^k, and that G(u) terminates finitely. It immediately follows that every Goodstein Sequence G(m) over the natural numbers must terminate finitely. The assumption is easily seen to be false since there is no m such that the third term of g(m) is 4^4.
No associations
LandOfFree
A simple finitary proof of Goodstein's Theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A simple finitary proof of Goodstein's Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A simple finitary proof of Goodstein's Theorem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-433744