4.1.11 - The Hyper-Extended Large number list

Here I will analyse the ad hoc continuation of ##xE^ by Sbiis Saibian.
  1. blasphemorgulus = E100{#,#,1,2}100, FGH: φ(1,0,0,0)
...
  1. grangol-carta-blasphemorgulus = E100{#,#,1,2}100#100
  2. greagol-carta-blasphemorgulus = E100{#,#,1,2}100#100#100
    3. ...
  3. godgahlah-carta-blasphemorgulus = E100{#,#,1,2}100#^#100
...
  1. goliahblasphemorgulus = E100{#,#,1,2}{10}#100
  2. golliblasphemorgulus = E100{#,#,1,2}{50}#100
  3. godsgoblasphemorgulus = E100{#,#,1,2}{100}#100
  4. ohmygosh-ohmygosh-ohmygoooblasphemorgulus = E100{#,#,1,2}{{100}#}#100
  5. blasphemorgublasphemorgulus = E100{#,#,1,2}{{#,99,1,2}}#100
New major impasse hit! Let's see what sbiis does......

We have now more or less reached the limit of what follows naturally from #xE^. Although we can take many well defined paths, we have to define a main sequence. It's important to u[...]

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  1. blasphemormygosh-blasphemormygosh = E100{#,#,1,2}{{#,#,1,2}}{#,#,1,2}100
  2. blasphemormygosh-blasphemormygosh-blasphemormygosh = E100{#,#,1,2}{({#,#,1,2}}{#,#,1,2}{#,#,1,2}100
  1. tweilasphemorgue = E100{{#,#,1,2},100,1,2}100
  2. frielasphemorgue = E100{{{#,#,1,2},#,1,2},100,1,2}100
  3. fiorilasphemorgue = E100{{{{#,#,1,2},#,1,2},#,1,2},100,1,2}100
  4. finnasphemorgue = E100{{{{{#,#,1,2},#,1,2},#,1,2},#,1,2},100,1,2}100
  5. sexasphemorgue = E100{{{{{{#,#,1,2},#,1,2},#,1,2},#,1,2},#,1,2},100,1,2}100
  6. sjournalasphemorgue = E100{{{{{{{#,#,1,2},#,1,2} ... },#,1,2},100,1,2}100 w/7 copies of ' 1,2 '
  7. attalasphemorgue = E100{{{{{{{{#,#,1,2},#,1,2} ... },#,1,2},100,1,2}100 w/8 copies of ' 1,2 '
  8. neiulasphemorgue = E100{{{{{{{{{#,#,1,2},#,1,2} ... },#,1,2},100,1,2}100 w/9 copies of ' 1,2 '
  9. tenasphemorgue = E100{{{{{{{{{{#,#,1,2},#,1,2} ... },#,1,2},100,1,2}100 w/10 copies of ' 1,2 '
  10. hundrelasphemorgue = E100{{{ ... {{{#,#,1,2},#,1,2} ... },#,1,2},100,1,2}100 w/100 copies of ' 1,2 '
  11. grand hundrelasphemorgue = E100{{{ ... {{{#,#,1,2},#,1,2} ... },#,1,2},100,1,2}100 w/hundrelasphemorgue copies of ' 1,2 '


This of course leads to the problem of what hyper-ordinal has this as it's fundamental sequence. In keeping with sbiis' theory of the climbing method, every time he applies {X,#,1,2} to X..

  1. hundrelasphemorgue = E100{#,#+1,1,2}100
  2. grand hundrelasphemorgue = E100{#,#+1,1,2}100#2
... !_v nah let's skip boring parts
  1. ludicriss = E100{{{ ... {{#,#+1,1,2},#+1,1,2},#+1,1,2} ... },#+1,1,2},#+1,1,2}100 w/100 applications of ' ,#+1,1,2} ' to #
New impasse hit. Sbiis saibian is still developing this part of the system,
So here I am going to show an analysis of his (daresay), ad hoc continuation.

Id in sbiis saibian's list Name Definition FGH Ordinal
201ludicriss = blasphemorgulgriditeratorE100&(1)100φ(1,0,0,ω2)
202grand ludicrissE100&(#)100#2φ(1,0,0,ω2)
203ludiarxitriE100{&(1),#+1,1,2}100—
205blasphemorguldigriditeratorE100&(2)100φ(1,0,0,ω22)
206blasphemorgultrigriditeratorE100&(3)100φ(1,0,0,ω23)
207ludicube = blasphemorgulcubiculatorE100&(#)100φ(1,0,0,ω3)
...
215—E100&(#{100}#)100φ(1,0,0,φ(ω,0,0))
217—E100&({#,100,1,2})100φ(1,0,0,φ(1,0,0,0))
219—E100&(&(&(1)))100φ(φ(1,0,0,ω2))
—blasphemorgulcrossE100({#,#,1,2}*100)100φ(1,0,1,0)
224agoraphobiaE100#*^#100φ(1,0,1,0)
250astralthrathoth (agoraphobarxihect)E100(#*^^100)100φ(1,0,2,0)
—agoraphobarxi-(100+1)E100(#*^^101)100φ(1,0,2,0)
—blasphemorgulcuborE100{#,###,1,2}100φ(1,0,2,0)
260—E100#*^^##100φ(1,0,2,0)
—blasphemorgulteronE100{#,####,1,2}100φ(1,0,3,0)
... You can continue by having #xE^ hyperion stacks and beyond instead of xE^ ...
274—E100#*^^^#100φ(1,1,0,0)
283—E100#*{{#,#,1,2}}#100φ(1,φ(1,0,0,0),0,0)
287—E100*{#,#,1,2}100φ(2,0,0,0)
... blasphemorgulus regiment to be continued ...
309gorgonghoulgogE100*(#){#,#,1,2}100φ(ω,0,0,0)
315transmorgrifihgh~E100#/^#100φ(1,0,0,0,0)
...
>> NEXT Solidus-Extended Cascading-E and beyond!!!!