Talk:Musean hypernumber
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There is a history of dispute with respect to the article, which can be traced from it's previous location (hypernumber), in the talk page. Ignoring all the references that I gave (most of them formally published) and replacing them with a single reference to a single-user-maintained religious web site is inacceptable to me, therefore I resurrected the deleted content here as a first step. Maybe the new location, Musean hypernumber, is more acceptable for the time being. Jens Koeplinger 02:42, 29 November 2006 (UTC)
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[edit] Need to rewrite
Unfortunately, the entire collection of online resources to this article has recently been withdrawn by the author. We are left with only articles that are published in journals. While this mandates a rewrite of the current article in Wikipedia, it may also be an opportunity to accomodate some of the more constructive feedback received so far (yes, there was constructive feedback here in Wiki and at other places).
I have a decent collection of Charles Musès' more mathematical articles here, two published articles by Kevin Carmody, and am - to my knowledge - the only other author to have formally published in reference to Musean hypernumbers. While suboptimal, I guess I'm as good as an "expert" on Musean hypernumbers as it gets at this moment, which doesn't mean too much. When in doubt I'll try to stay close to the source text, which is about the best I can do I guess. For obvious reasons, I do not want to rely on my own works for this article.
Here is what I'm picturing for a rewrite:
[edit] Introductory section
- It will bring forward Musean hypernumbers as a number concept that was envisioned.
- Musès personal opinion about applicability will be sketched.
- Musès' "M-algebra" will be separated from his "hypernumber level" concept.
- Their prime critizism will be mentioned: Lack of mathematical rigor and clear defining relations.
[edit] Section on "M-Algebra" in Musès' sense
- Generally this consists of conic sedenions and certain subalgebras thereof.
- A multiplication table for conic sedenions will be given, which will also clearly label the basis symbols.
- Arithmetical properties will be sketched.
- The subalgebras will be named, and isomorphisms cross-referenced.
[edit] Section on "hypernumber levels"
- The level concept in Musès draft idea will be referenced, by referring to the speculative link between arithmetical laws and levels.
- An overview over the levels will be given, similar to what's currently there, but shorter and more neutral / general. The levels that are currently not in the article will be added, with a brief description of each level.
- A brief description on how or why Musès may have conceived his number program as "fully closed", even accomodating divisions by zero, suggestioning a multi-valuedness of zero, and entire spaces made of axes of zeros (though here I'm a bit uncertain so far; I'll do my best by staying close to the source articles)
[edit] Section on potential applications
- Reference to some of his ideas on consciousness, religion, physics, and whatever else I can find.
- References to some other resources
Ok, that's the best I can offer. I hope to have this all finished by the beginning of next year. Any constructive comment or critizism is, as always, welcome. Thanks, Jens Koeplinger 02:26, 7 December 2006 (UTC)
