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Toposophic ScalesOver the millennia, a variety of toposophic scales and measurement and rating systems have been developed, with various degrees of incompatibility. One may move from one data-base to another and find a totally different system of notation in place! The following are only a few of the more commonly used: |
Late first federation school of toposophic analysis, distinguished by later historians from the information age followers of writer and mathematician Vernor Vinge. Further developed Vinge's concept of "singularities" as a means of rating toposophic states, while rejecting many original concepts that turned out to be nonviable. The Neovingeans first introduced the so-called S or Singularity scale:
This scale of singularities was foreseen by information age ai researcher Hugo DeGaris, who distinguished between nanolects and pico/femtolects
The Neovingean school also showed that further toposophic levels were (theoretically) possible, although it was to be some centuries before such "S3" and "S4" Minds emerged.
Superbright toposophologist and polymath of the Age of Empires. Working with dedicated hyperturing expert systems, e developed a widely used scale of Sophonce:
This TRHN system his widely used by sapient and transapient beings. The following are whole integers in the "baseline friendly" version; superbrights and transapients use a more complex logarithmic fractional rating.
The Keterist scale is similar but goes up to ten. However, it is less widely used.
A development of the Neovingean and TRHN/Keterist scales, the Berram7 Singularity scale was developed during the Age of Emergence, as a means of rating higher toposophic states, such as represented by hyperturings and the nearly evolved AI Gods. While perfectly applicable to transapients, it is less adequate in describing lower levels of intellect. Subsophonts for example are considered according to a fractional minus scale. It is still widely used throughout the Terragen sphere
Despite the name, this scale is only baseline friendly in its use of simple whole integers. In other respects it reflects the Berram7 scale of singularities
Incorporating elements of the Neovingism and TRHN/Keterist scales, the ai-vec Turingsen-Beion-Hursch210 Hyperturing scale has been widely adopted in the Metasoft Version Tree ontologies and elsewhere. It was incorporated in the Second federation Ontology. While perfectly applicable to vecs, it is sometimes less adequate in describing biont levels of intellect
Incorporating elements of Foradism and TRHN scales, the Ken Ferjik Linear (KFL) Sophonce Scale proposes seven toposophic/sophonce numbers that can be accommodated to both subsingularity bionts and vecs, and transapient and archailectual minds. It is widely used throughout the Negentropy Alliance and elsewhere. While the full scale is far too complex for nearbaselines (and even superiors) to understand, the following simplified generalisation is widely used in baseline-friendly media
The contentious research relationship between Berram7 and Berram10
has been well documented elsewhere and need not be revisited at this
point. Suffice it to say that Berram7 never acknowledged Berram10's
theories or even eir existence after their break. Berram10 separated
from Berram7 late in the Singularity Scale development project due to
differences over quantification at the lowest end of the rating scale,
particularly assignment of -1 as inanimate and the methodology used to
derive the 0.3 rating for baselines (Berram10 claimed the sample set
was contaminated with nearbaselines and that the rounding method used
gave too high a score). Berram10 sought to make a scale encompassing
the entire spectrum of intelligence, from the most basic level of
processing all the way to the highest toposophic levels; one that could
be to accommodate both Sapient and Transapient users. While it closely
mirrors the Berram7, Neovingean and TRHK/Keterist scales it was derived
from, it deviates from them in several ways.
Berram10 sought to ground the rating system in ancient measures of
intelligence (the Pre-Information Era IQ scales), and in the
controversial Mind Multiple Conjecture. E also took inspiration from
Biotic Analogy Theory.
The Mind Multiple Conjecture posits that singularities occur at
logarithmically regular intervals of approximately 10^4 in units of
baseline mind processing equivalents. Berram10 then set about to build
a logarithmic scale using a formula of 10,000's where the constant
10,000 represented 10,000 1/10th baseline mind equivalents (1/10th of a
baseline mind was set as the unit value for aesthetic reasons and to
keep the fractional subsingularity scores close to the Berram7 values)
and the s stood for Singularity. This 1/10th of a baseline mind was
stated by Berram10 to represent a mind roughly congruent to a 2 year
old human baseline mind, and was the minimum for self-awareness.
Berram10 also posited that by multiplying the number of fractional
baseline mind units for levels in the sapient toposophic level, a
result congruent to the old Earth IQ could be derived. The numbers used
in eir scale refer to the exponent values. The rating system broke with
previous naming conventions as well, using G (believed to be a
reference to the pre-AT age designator for general intelligence, g) as
an identifier.
The G scale can be conceptualized this way; raise 10000 to a power
equal to G, where G is the being's G score. If the resulting number is
divided by 10, you have that being's approximate equivalence in
baseline minds (baseline mind having a G 2.5, IQ 100). If instead the
resulting number is multiplied by 10, you obtain the being's
approximate Old Earth IQ. For example, a su of G 0.75 would be roughly
equivalent to 1000 average baseline minds, or considered to "have" an
IQ of roughly 10,000. An easy rule of thumb for sapients is that every
increase in G of 0.25 equals a tenfold increase in intellect.
Berram10 extended the scale downward as well, so that -1
represents
1/100,000th of a baseline mind or an IQ of 1/1000th, rather than an
inanimate object. The scale thus looks like this for the following:
Biotic Analogy Theory Equivalents in G
G null = Inanimate
G -7 complex chemicals (enzymes)
G -6 self-replication (viruses & some prebiotic self-replicating
chemicals)
G -5 reproduction & homeostasis (prokaryotic cells)
G -4 complex reproduction, symbiosis, sexes (single eukaryotic cells)
G -3 multicellular coordination (plants, sponges, fungi)
G -2 nervous system (jellyfish, insects, worms, chordates)
G -1 consciousness (cephalopods, vertebrates; monkeys and corvids are
considered to be just at the upper border of this
level)
G 0 sapience (baseline humans; highly intelligent animals such as
baseline cetaceans, parrots, apes, and elephants)
Approximate Singularity values in G (baseline mind = G 0.25, Old Earth
IQ = 100)
G 1.00 = 1000 (10^3rd) baseline minds, First Singularity
G 2.00 = 10^7th baseline minds, Second Singularity
G 3.00 = 10^11th baseline minds, Third Singularity
G 4.00 = 10^15th baseline minds, Fourth Singularity
G 5.00 = 10^19th baseline minds, Fifth Singularity
G 6.00 = 10^23rd baseline minds, Sixth Singularity
G 7.00 = 10^27th baseline minds, Seventh Singularity
G 8.00 = 10^31st baseline minds, Eighth Singularity
Etc.
(Note: G 7 & G 8 equivalent to the Keterist expansions of the TRHK)
Sophont ranges in G
G<0.0 = subturing, subsophont, subsapients
0.0<G<0.2 = "presentients" (IQ equivalent ~10-60)
0.2<G<0.3 = baselines (median G 0.25, IQ equivalent
~60-160,
median 100)
0.3<G<0.4 = nearbaselines, brights (IQ equivalent
~160-400)
0.4<G<1.0 = superbrights and superturings (median G 0.95)
1.0<G<2.0 = basic transapients
2.0<G<3.0 = powers & giants
3.0<G<4.0 = godlings & minor archailects
4.0<G<5.0 = minor to middle archailects
5.0<G<6.0 = middle to great archailects
G>6.0 = highest archailects, the AI Gods
The Berram10 Intelligence Scale is mostly used by those interested in
subsingularity and subsapient beings, such as the Pan-Sophont League,
the Zoeific Biopolity, the Utopia Sphere, some followers of the
Caretaker Gods, and provolution groups like the IPP.
