06/01/2021, 10:25 PM
(06/01/2021, 09:37 PM)JmsNxn Wrote: Honestly, what tetration really needs is attention from someone like John Conway (who unfortunately passed last year)--whose whole schtick was this nonsense mathematics that no one ever thought would have any use.
Agree... maybe in these times John Baez could do the job.
The problem is that I fear the moment one of those sacred monsters will turn their attention to tetration and hyperoperations. Ofc I'll be happy to see the solutions... but it would be sad for me to not have a rich field where I can play around discovering little elementary things like a lil kid. It would take me the fun and the motivation to see an heavyweight mathematician outperform all my efforts of the last 8 years with the first stroke of pen and finding a solution with the second one.
In fact I imagine someone like Milnor or Tao or a von Neumann taking up your compositional calculus, expanding it and solving with it tetration and a billion of other problems in just few months of research (just a few hours for von Neumann), if they only had the need to do it... (I'm not diminishing you ofc, you are lightyears ahead of me. I'm just saying that the best of us would probably get destroyed by the 10yo version of them).
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)
