I realized that I posted this in the wrong place so here's the fix. This can be seen as a followup of this post.

Since 2007 lot of new threads and ideas appeared on the forum.

I still think that the forum categorization should be minimal: the General Discussion/Computation partition should be conserved. It is the division between theoretic arguments and real implementation.

Now, in 2022, I believe that the General discussion section (theory) should have at least one subsection. I feel like a post here should be by default about tetration or iteration: so no need for a subsection specific for Tetration or Iteration theory. But a subsection for generalized hyperoperations can be useful, I think.

Here some example of the thread that should be moved to a new "Generalized Hyperoperations" subsection

What should NOT end up there:

To summarize: everything that talks about ranks, and has variables concerning ranks (going up or down) should be in this section.

I hope this will make easier for tetrations-only folks to browse threads, and makes ranks-lovers, like me, to find everything they need in one place.

No need to add that a section like the one will be the richest thematic resource on the whole internet.

If this idea will be accepted I can help sorting the threads.

Since 2007 lot of new threads and ideas appeared on the forum.

I still think that the forum categorization should be minimal: the General Discussion/Computation partition should be conserved. It is the division between theoretic arguments and real implementation.

Now, in 2022, I believe that the General discussion section (theory) should have at least one subsection. I feel like a post here should be by default about tetration or iteration: so no need for a subsection specific for Tetration or Iteration theory. But a subsection for generalized hyperoperations can be useful, I think.

Here some example of the thread that should be moved to a new "Generalized Hyperoperations" subsection

- All the threads about Zeration, and sub-addition operators;

- Everything about Knuth's , Conway's, Nambiar's, Reihenalgebra... and other notations including notations for large numbers that use ranks bigger than 4;

- All the threads about balanced and Bennet/commutative hyperoperations;

- All the threads discussing Goodstein and Ackermann function;

- Everything about Trapmann's Arborescent Numbers;

- Extension of Ackermann or of Goodstein Hyperoperations to non-integer ranks (mainly Jmsn's);

- All the discussions about tetration and higher ops. over transifinite ordinals/cardinals;

- All the Tommy's threads about various exotic functional equations for alternative H.Os. sequences;

- Everything about iteration of iteration, and higher form of iteration, kind of stuff;

What should NOT end up there:

- Integer tetration, integer pentation;

- Discussion about alternative to tetration if the do not contain explicit discussion of extending to higher ranks;

- The study of the dynamics and analytic properties of exponentiation, and tetration functions;

- The problem about half, rational and real/complex iteration;

- Fractals;

- General theory of superfunctions (Kouznetsov's);

- Operators iteration, matrix methods and fractional calculus (JmsNxn's when not applied directly to HOs, Woon's stuff, Gotfried's matrices stuff);

To summarize: everything that talks about ranks, and has variables concerning ranks (going up or down) should be in this section.

I hope this will make easier for tetrations-only folks to browse threads, and makes ranks-lovers, like me, to find everything they need in one place.

No need to add that a section like the one will be the richest thematic resource on the whole internet.

If this idea will be accepted I can help sorting the threads.

MSE MphLee

Mother Law \((\sigma+1)0=\sigma (\sigma+1)\)

S Law \(\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)\)