Difference between revisions 95670764 and 95839905 on enwiki

There is a history of dispute with respect to the article, which can be traced from it's previous location ([[hypernumber]]), in the [[Talk:Hypernumber|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. Je(contracted; show full)

== First-pass rewrite posted ==

I've finished the first-pass rewrite, according to the outline above. It's not finished yet, but the skeleton should remain the way it is. In particular, the article's references need to be linked to the individual statements, in particular to the more controversial ones. I hope to be able to finish this work by the end of 2006. Thanks, Jens [[User:Koeplinger|Koeplinger]] 05:07, 21 December 2006 (UTC)
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===Day 1 feedback===

Here's some of the feedback I've received so far (anonymized):

* "... conic sedenions include 'one real axis, eight imaginary axes, and eight counterimaginary axes'. It should be only seven counterimaginary, shouldn't it?" - yep, corrected. Thanks!

* "1. I have edited the last section of the article by adding a sentence: 'But none of his vision has been realized.' Of course, you can correct me if I am wrong by stating some of the realization of Musean dreams." - sounds fine to me, however, we may run into resistance because hypernumbers are used by some as a tool for spiritual growth and religious enlightenment. We will see what feedback comes in Wiki.

* "2. Probably it will becoming more easily understandable if you desribe first enumeratively the 9 levels of hypernumbers step by step, from the first level (real number) to the third level (countercomplex number) which can easily be defined, then admit that higher levels has not been defined clearly yet." - That is a great idea. Kevin's old web page is available in the internet archive ( [http://web.archive.org/web/*/http://www.kevincarmody.com/math/hypernumbers.html] ), I'll rebuild a similar table and put it up front. Great idea!

* "3. I think by putting the M-algebra first make people confused. M-algebra is a compound of the first three levels of Musean pure hypernumbers. So the reader must understand the general hypernumber first." - You're right that the article is falling straight into M-algebra, and then later collecting bits and pieces. But I also want to bring M-algebra first, so that the article begins with the sound concepts, and deals with increasingly speculative concepts further down. What about this: I'll add an additional introductory section, 2 paragraphs or so, that briefly outline both the hypernumber levels and M-algebra and how they relate. Then I would leave the rest of the article as-is.

* "4. The M-algebra is the combination of the first three level numbers. The algebra is good because it is the only higher dimensional hypercomplex algebra which is distributive and having multiplicative norm. The mathematical beauty of M-algebra is that it contains all lower dimensional composition algebra with a multiplicative modulus. It contains many kinds of octonions and many historical kinds of quaternion, except the MacFarlane hyperbolic quaternion, as subalgebras. It is a kind of unified theory of all multiplicatively normed linear algebras. Of course the 'allness' must be proven" - Great suggestions, <name>. I'll make the introductory section of M-algebra more accessible by adding these thoughts, remarks, and relations. Thank you very much!

* "In response to <name>'s response, Musès' in one of his articles refers to the real numbers as epsilon_nought." - yes, I remember seeing this. I'll add this to the note about i_0 being commutative and associative under multiplication, because I believe it was mentioned in this context. Thanks!

Thanks all for the constructive comments! Jens [[User:Koeplinger|Koeplinger]] 01:26, 22 December 2006 (UTC)