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Ripheus23

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Ripheus23 last won the day on November 21 2018

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  1. Rather than focus only on unfathomably faster means of ascending V, I did some more ground-level work on various countable patterns in V, of an elegant nature after all, however. Here are some examples:

     

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    2. Ripheus23

      Ripheus23

      The three other examples show how some very simple examples of infinite computations in aleph-space interconnect via the hyperoperator sequence. Namely, the +++ sequence leads into the *** sequence before the exponential sequence, and each can be represented by the next highest operator using aleph-omega and aleph-zero: so {aleph-omega * aleph-zero}, {aleph-omega ^ aleph-zero}, and {aleph-omega ^^ aleph-zero}.

    3. Ripheus23

      Ripheus23

      The anchor conjecture: that 2 ^a 2 = 4, for all a whatsoever, even ordinals of any transfinite cardinality. This equation is sometimes referred to as the anchor of transfinality. During the apocalypse of the Final Power, it was instead discovered that using the heart operator on {2, 2} goes not to 4, but to 4-aleph.*

      *Not to be confused with aleph-4. 4-aleph is the fourth apex number, those that end at the apex of transfinality.

    4. Ripheus23

      Ripheus23

      *Further refinements have led me to suspect that aleph-4 tetrated by aleph-4 might in fact be aleph-omega(4)*5.

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