01/17/2024, 04:06 PM
(This post was last modified: 01/17/2024, 04:18 PM by Ember Edison.)
(10/24/2023, 01:49 AM)Daniel Wrote: The forum isn't dead, all the software works, you just can't presently post in the mathematical forums. But you can discuss the future of the Tetration Forum here, read and search twenty years of articles and still use the email to other users.
Digital systems have a life cycle and it appears that the forum is at the end of it's natural cycle. It served a need that now appears to have passed. Shanghai46, let me ask you why you became a member? The truth is that the vast majority of members wish to establish themselves as someone with something important to say about tetration or to even become famous. The forum has been held together by a small group of people who hold supporting the tetration community to be more important that being a famous researcher.
Moderators and senior members have been the life blood of this forum. As a long time member and an administrator my review of access logs shows many of the most important contributors to the forum have not logged in for many years. The people with the most important work, IMHO, on the forum are simply no longer available to defend or explain their postings.
But the history of the concept of Tetration as an ongoing mathematical exploration does not end there.
We don't know yet how the Tetration functions on \(\mathbb{Q}_p,\Omega_p,\mathbb{H}\) are computed.
Just on 30 August 2022 a new paper https://arxiv.org/abs/2208.14331 appears that allows us to solve differential equations on Surreal. The allowed range includes at least trigonometric functions, gamma/log-gamma, Airy functions.
This means that we have a real chance to generalise Tetration for \( \mathbb{R} \) or \( \mathbb{C} \) to infinite ordinals, singular cardinals, large cardinals and even more magical levels (in \( \textbf{No} \) or \( \textbf{No} [i]\) ) instead of playing word games. (e.g., \( \mathrm{tet}(\omega), \mathrm{slog}( \textbf{No}), \mathrm{ssqrt}( \omega_1 i) \))
