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Hypernumber · Beyond Real Numbers

Group Information

  • Members: 21
  • Category: Number Theory
  • Founded: Jan 27, 2007
  • Language: English
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Dear all.

Hypernumbers are numbers beyond real numbers. Beyond real numbers are the multidimensional Cayley-Dickson numbers (complex numbers, quaternions, octonions, sedenions etc.) Beyond the Cayley-Dickson numbers are the hypernumbers of Charles Muses and hypernumbers of Rugerro Maria Santilli. Their kinds of hypernumbers are external extension of real numbers by adding more dimensions to numbers.

Other kinds of hypernumbers are the internal extensions of real numbers created by making the axis of real number more dense. Examples of such internal hypernumbers are the hyperreal numbers of Robinson, surreal numbers of Conway, hypernumbers of Mark Burgin and Leo Himmelsohn.

This group will explore such existing kinds of hypernumbers and beyond.
Surely such exploration will make some painfull errors, but hopefully it also make new exciting discoveries. In such journey we will surely find some dead ends in the path, but, in the end, hopefully we will find a surprising pathways to the new bigger world of numbers that probably will be useful for mankind to solve our increasingly more complex problems facing us in the future.

Hopefully you will join us and enjoy our explorations of hypernumbers.
Thank you.
Armahedi Mahzar

PS
If you've been approved as a member of this group, please go to File section of this group to get many postings in the now extinct hypernumbers group to get to the problematics of Musean hypernumbers.
So the discussion there can be continued here.
Thanks
Arma

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Volume 0, Edition 0 of the F.E.D. Treatise is Sold Out!
Hypernumber Group Participants, The Webmaster of the www.dialectics.org website, on April 21st, 2012, posted the blog entry, copied below, regarding the
Posted - Mon Apr 23, 2012 8:44 pm
Miguel
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Re: New-Numbers-Based Equation Models Meta-Evolution of Total Cosmos
Hypernumbers Group Participants, FYI: The SECOND of the promised "Postlude Letters" -- an excerpt from the new book on the F.E.D. "Dialectical Meta-Numbers",
Posted - Wed May 4, 2011 2:44 am
Miguel
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Re: New-Numbers-Based Equation Models Meta-Evolution of Total Cosmos
Beyond "Real" Numbers Group Participants, FYI: The first of the promised "Postlude Letters" -- an excerpt from the new book on the F.E.D. 'Dialectical
Posted - Sun Apr 10, 2011 1:07 am
Miguel
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Re: New Book / Just Released -- "A Dialectical Theory of Everything"
FYI: Electronic, DVD version just released [drastically less costly].
Posted - Wed Jan 12, 2011 6:08 am
Miguel
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New Book / Just Released -- "A Dialectical Theory of Everything"
Dear HyperA new book has just been released by Foundation Encyclopedia Dialectica, entitled -- A Dialectical "Theory of Everything" -- Meta-Genealogies of the
Posted - Sat Dec 25, 2010 2:24 am
Miguel
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