First Guest Author --
I have reproduced, below, the latest blog entry of Aoristos Dyosphainthos, the Public Liaison Officer of F.E.D., from his blog at
www.dialectics.info:
http://www.dialectics.info/dialectics/Aoristoss_Blog/Entries/2012/5/19_The_F.E.D._Psychohistorical_Equations.html
Regards,
Miguel
"The F.E.D. '''Psychohistorical-Dialectical Equations'''
The Foundation Encyclopedia Dialectica [F.E.D.] ‘‘‘Psychohistorical-Dialectical
Equations’’’ were designed, by the General Council of F.E.D., to create a ‘Time-Vault of
the Future’, by means of a ‘meta-planetarium projector’, -- named the ‘‘‘F.E.D. Prime Radiant’’’, to project
3-D holographic representations of the solution-scenarios of this system of
“simultaneous” 'dialectical meta-equations', and of their scenario-valued variables, for future values
of their time-variables, i.e., to algorithmically ‘pre-construct’
dialectical-mathematically-generated richly-determinate imagery for the future
history expected per these equations.
All but one of these seven equations utilize the ‘Dyadic
Seldon Function’ formulation of dialectical ontological progressions [ = of [revolutionary new]
kinds-of-being progressions], a function which
was defined earlier in this series, and which is also defined via the following
link –
The F.E.D.
General Council is thereby enabled to anticipate – in timing, and in
event-content – approaching “Seldon Crises”, for more about which, in terms of their
[science-]fictional instantiation by Isaac Asimov, see –
I have listed, below, this system of seven dialectical
equations, which are to be solved ‘‘‘simultaneously’’’ for the new ontology
possibly emergent during the time period, tx [denoting the generic ‘‘‘epoch’’’ of the dialectical
progression denoted by x] of the future value of
that time-period
variable which is to be solved-for.
The versions of the F.E.D.
‘‘‘Psychohistorical-Dialectical Equations’’’ rendered and partially explicated further
below, are all rendered in the rule-based ideographical algebraic language-system
of the F.E.D. “First Dialectical Arithmetic
/ Algebra”, denoted by NQ_.
The nine core algorithms, rules, or “axioms” of this
language, presented earlier in this series, are also available via the
following links –
[pp. I-144 through I-146].
-- and are also summarized, via largely ideographical symbolization, in the following '*.jpg' image --
The versions of these equations that are used by the
‘dialectical psychohistorians’ of the
F.E.D.
General Council, and that would be capable of driving the ‘‘‘
F.E.D. Prime Radiant’’’, are
formulated in a higher, richer dialectical language than that of the
NQ,
purely-qualitative algebra used here – a language that arises later in the
dialectical, ‘ideo-ontological’ progression-presentation of the
F.E.D. systems of dialectical
language. Needless to say, this
dialectical language is one of the
‘quanto-qualitative’, rather
than one of the "purely"-
qualitative, dialectical languages that arises in that
progression.
We do not [yet] publicly disclose the rules-system of that
dialectical language. The optimal
historical timing of its disclosure is itself a matter for the most delicate
psychohistorical-dialectical calculation.
However, immediately below, I give a summary description of the early
dialectical language systems in the order that they are covered in that
dialectical-systematic presentation, a presentation which we can summarily
model by a ‘Dyadic Seldon Function’-based dialectical equation, also formulated
in the NQ
dialectical language.
The generic [unspecified; unsolved] ontology symbols of
the NQ
dialectic are NQ = {q1, q2, q3, …}.
The axiomatic system that governs the
'algorithmics' of these NQ ‘meta-numbers’ is denoted by NQ_.
The notational conventions adhered to herein, to the
extent that the typographical limitations of this medium allow, are summarized
here --
http://www.dialectics.info/dialectics/Welcome_files/F.E.D.,%20A%20Dialectical%20%27%27Theory%20of%20Everything%27%27,%20Volume%200,%20FOUNDATIONS,%20Edition%201.00,%20last%20updated%2029SEP2011,%20Prefatories,%20ENCYCLOPEDIA%20DIALECTICA%20NOTATION,%201st%20Module,%20JPEG,%20for%2030SEP2011.jpg
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In the sequel, we use the symbol ‘
=’
to stand in place of the phrase “is equal to, by definition”.
The underscored mnemonic symbols stand for ‘dialectical
meta-numbers’ – i.e., for purely-qualitative values that operate, arithmetically
and algebraically, according to the
F.E.D.
‘Fundamental Rule of Dialectical Logic’,
a rule that was proven deductively here, from the
NQ_
axioms, previously in this series. We give that proof here again, below, for ease of reader reference --
The following image presents the generic version of the E.D. standard 'dialectogram' formats which we will apply herein to support our readers' in visualizing the dialectical processes encoded by the various 'psychohistorical-dialectical equations' presented in this text, with emphasis on the first triad encoded in / predicted by / reconstructed by each such 'dialectical equation' --
The above-diagrammed
generic dialectical interpretation of the first
three of the
NQ ‘meta-natural meta-numbers’ as a
'dialectical triad', can be
extended, for the
fourth of these
NQ ‘meta-natural meta-numbers’,
and beyond, as indicated in the following tableau --
It should also be noted, at the outset, that the
kind of
'dialectical oppositenesses' encountered in, and modeled, by the
F.E.D. Psychohistorical-Dialectical Equations, is
not the
kind, named, by Charles Muses,
"'Annihilatory''' oppositeness,
nor the
kind that he called
"Complementary" oppositeness, but is, primarily, of the
kind called, by Karl Seldon,
'Supplementary' oppositeness --
Since all of the ‘
F.E.D.
Psychohistorical-Dialectical Equations’ are equations of ‘psycho
historical
dialectics’, we use the assignment symbol ‘
[--->’ to indicate an association of an
unassigned, unsolved, or “generic”
NQ ‘meta-natural meta-number’ to
a specific, mnemonic [psycho]historical-dialectical ontological category symbol
[“kind of being” symbol], within a given [psycho]
historical-dialectical
‘[psycho]physio-ontological’ progression:
[interpreted/solved/specific historical category symbol] [---> [generic NQ ‘meta-number’ symbol], e.g. --
The <<Kapital>>-relation as a human[oid]-social
relation of production <---> K [---> q16
However, for ‘pure idea-systems’, and for their presentational
‘ideo-ontological’ dialectical categorial progressions, we use the assignment
symbol, or solution symbol, ‘[---)’, to indicate such associations,
e.g. --
“Thesis” axioms-system; standard
“Naturals” in 1st order specification; ‘pure-quantifier’ algebra (---) N_ [---)
q1
“Antithesis” system; 1st order, non-standard, dialectical ‘meta-numbers’; ‘pure-qualifier’ algebra (---) NQ_ [---) q2
The beginning – or «arche’» -- category and system of
‘ideas-ontology’ in the F.E.D.
presentational-dialectical progression for the F.E.D. axioms-systems of dialectical
arithmetic, is the system of the arithmetic of the “Natural” Numbers,
N = {1, 2,
3, …}, as formulated by only
the four Peano postulates that are expressible in “first order” formal symbolic
logic [“first order” logic here means a language of formal logic that makes
assertions about individual “Natural Numbers” only, but not
about qualities shared by multiple “Natural
Numbers”, such as “Even-ness”, “Odd-ness”, “Prime-ness”, “Composite-ness”,
etc.]. We denote that “first-order”
axioms-system of arithmetic by N_. It is a dialectical arithmetic only in a
‘pre-vestigial’, implicit, quantitative-only sense, in that the Peano successor
function, s, is a degenerate, purely-quantitative «aufheben»
operation: s(n) = n + 1, given an n in N.
The algorithm that generates this systems-progression is termed, by us, a
‘meta-model’, because a “model” would cover only a single system, whereas this
progression contains a potentially infinite multitude of
successive systems.
We use the term ‘‘‘evolution’’’ to describe the
[self-]developmental dynamics within a single system, whether it
be a natural, physical system [‘physio-system’], a human ideas-system
[‘ideo-system’] such as a mathematical axiomatic system, or a human
psychohistorical system – i.e., an ‘ideo-physio-system’ – such as a human
socio-economic system. ‘‘‘Evolutions’’’ are transitions between historically
successive states within a single system.
We therefore use the term ‘meta-evolution’ to describe the [revolutionary] transitions between
systems – from historical predecessor system to historical successor
system -- which involve irruptions of new ontology.
The ‘Dyadic Seldon Function Meta-Model’ of the F.E.D. Method of Presentation [ = ‘Meta-Systematic
Dialectic’] for this progression of dialectical-mathematical systems,
is therefore –
(N_)^(2^s)
-- wherein s denotes a Whole
Number variable, W = {0, 1,
2, 3, … }, representing/counting the cumulative number of steps
into the exposition. Four steps in,
i.e., for step s = 3,
we solve this ‘meta-model’ as follows:
(N_)^(2^3)
= (N_)^(8)
= a non-amalgamative
sum of 8 ‘idea-ontological’ categories, each
connoting a qualitatively different, ‘ideo-ontologically’ different dialectical-mathematical
axioms-system --
N_ + NQ_ + NU_ + NM_ + NqMN_ + NqMQ_+ NqMQN_+ NA_ [---)
q1 + q2 + q3 + q4 + q5 + q6 + q7 + q8.
These first eight axioms-systems of dialectical arithmetic
can be summarily described as follows, using the ‘pure ideo-systems’ assignment
symbol, ‘(---)’—
N_ (---) Thesis system of standard natural numbers arithmetic
in 1st order specification, as purely quantitative algebra.
NQ_ (---) 1st
‘Anti-thesis’ 1st order
axioms-system, non-standard
model of N_, 1st
dialectical ‘meta-numbers’; ‘pure-qualifier algebra’.
NU_ (---) 1st [full] ‘Synthesis’ system; 1st order, 2nd dialectical
‘meta-numbers’, ‘quantifiable <<monad>>-qualifier’ algebra.
NM_ (---) 2nd ‘Anti-thesis’ system of 1st order, 3rd dialectical ‘metrical qualifier meta-numbers’; purely
qualitative algebra.
NqMN_ (---) Partial
‘synthesis’ system of 1st order, 4th dialectical ‘meta-numbers’; ‘quantifiable metrical
qualifiers’ algebra.
NqMQ_ (---) Partial ‘synthesis’, 1st order, 5th dialectical ‘meta-numbers’; ‘compound unquantifiable
metrical qualifiers’.
NqMQN_ (---) 2nd full ‘Synthesis’ system; fully-algorithmic “dimensional analysis” via
quantifiable state-variable qualifiers algebra.
NA_ (---) 3rd
‘Anti-thesis’ system of 1st order, 7th dialectical ‘dynamical system-qualifiers’;
purely qualitative algebra [implicitly,
but not yet explicitly, an ideography for dynamical [& ‘‘‘meta-dynamical’’’,
super^0-meta-]systems].
The first triad of this Method of Presentation [ = ‘Meta-Systematic
Dialectic’] for this progression of dialectical-mathematical systems can be depicted as follows --
The system of seven ‘dialectical meta-equations’ which constitute
‘the F.E.D. Psychohistorical-Dialectical Meta-Equations’
are the following --
1. The Meta-Equation of Human Ideology/Knowledge Meta-Evolution.
2. The Meta-Equation of Human-Social Forces of Production Meta-Evolution.
3. The Meta-Equation of Human-Social Relations of Production Meta-Evolution.
4. The Meta-Equation of Human-Social Formation(s)
Meta-Evolution.
5. The Meta-Equation of the Human Genome/Human ‘Phenome’ Systematic Dialectic.
6. The Meta-Equation of the Meta-Evolution of Planetary Humanities.
7. The Meta-Equation of The Psychohistorical Dialectic of the Dialectic Itself.
In terms of
Encyclopedia Dialectica standard notation, all seven of these 'psychohistorical-dialectical meta-equations' share the following common form --
Of course, all seven of
these ‘psycho-historical dialectical meta-equations’ cohere in the context of
the F.E.D. ‘‘‘Dialectical Theory of
Everything meta-equation’’’, or ‘Dialectic of Nature meta-equation’,
for the total cosmos as presently known to Terran humanity.
They all describe,
categorially, a ‘sub-universe’
of that, our total,
universe: they describe aspects of what has
gone on, what is going on, and what -- ‘predictedly’ -- will
go on, ‘‘‘inside’’’ the presently most-advanced term of that ‘‘‘Everything
meta-equation’’’, i.e., in the term representing the ontological category of
‘planetary human [meta-]societies’, such as our own.
This overarching,
singular ‘‘‘Dialectic of Nature’’’ ‘meta-equation’ is not defined, in our terminology, as
a ‘psychohistorical-dialectical meta-equation’ in the same, strict, direct sense, that
the seven equations named above are termed, by us, ‘psychohistorical-dialectical meta-equations’.
That is because this
overarching, singular ‘‘‘Dialectic of Nature’’’ ‘meta-equation’ does not directly address [human-]Phenomic, ‘‘‘memetic’’’,
‘psycheic’ matters -- collective-psychological, ‘intersubjectively-objective’, ‘psychohistorical material’, until
its tALL = 8th
epoch, cosmological epoch 8, and beyond, and thus until its 256th category-term, h [which connotes the
‘cosmo-ontological category’ of [planetary] human[oid]
societies], and beyond [or, arguably, incipiently, until its tALL = 7th epoch, cosmological epoch 7, and thus until its 128th
category-term, l, which connotes the ‘cosmo-ontological
category’ of proto-language-based
animal societies, and beyond].
However, indirectly, this ‘‘‘Dialectic of Nature’’’ ‘meta-equation’ is also at least a ‘HALF-psychohistorical’ ‘meta-equation’.
It is so because the
analogies, the metaphors, the terms-of-reference, the names, the categories,
the concepts in which any human theory -- including in
which any human “Theory of Everything” -- are framed, grasped, and transmitted
can, only belong to the human language, to the human
«mentalité»
[inescapably also including the human ideology], to the human
‘‘‘memes-pool’’’, to the human, collective mind, and hence, to the terms of the
collective human, cognitive and affective ‘psyche-ology’ -- in short, to the terms of the total ‘human
Phenome’
that is extant, and that is ambient, in the time, and in the place, in which
that theory arises.
For this ‘‘‘Dialectic of Nature’’’ as a
whole, as THE whole
-- as the Totality
of our «Kosmos»
to the degree that we presently know it, and for its “highest”, most general
ontological categories [for the E.D. domain x = ALL], with ‘tALL’
denoting a “Natural’’ number, i.e., from the set --
{1, 2, 3, ...}
-- and with tALL also counting, and labeling [numerically, cardinally ‘‘‘naming’’’], the epochs of cosmological-ontological
revolution, we have --
ALL>-|-<tALL
= ALLnvtALL
-- such that ‘n’
connotes the ‘physi[c]o-ontological category’ of the ‘‘‘sub-nuclear’’’ “particles”, that is, of the ‘‘‘non-composite bosons’’’ [e.g.,
excluding the mesons], and of the ‘‘‘non-composite
fermions’’’ [e.g., the quarks and the leptons, excluding, e.g., the proton,
neutron, and hyperon composite “particles”], and such that v = 2 or 3, and such that ‘tALL’, with its ‘ALL’
‘‘‘suffix’’’ component, indicates that the “independent” variable , tALL,
takes on, successively,
the value 1, then the value 2,
then the value 3, then 4, then, ..., consecutively.
For tALL = 8, i.e.,
for cosmological epoch 8, per this ‘‘‘equation-model’’’, the RHS [Right-Hand
Side] of this equation, when the 8-fold
‘‘‘self-involution’’’ [‘‘‘self-multiplication’’’] of ALLn
is carried out, generates a ‘cumulum’ of 28 = 256 category-symbols for the v = 2 version of this ‘‘‘equation-model’’’
--
ALL>-|-<8
= ALLn28
= ALLn256
=
ALLn + . . . + ALLh
-- wherein the 256th category-symbol, ALLh, connotes the
‘cosmo-ontological category’ of [planetary] human[oid]
societies.
This ‘meta-model’ still
falls short of being ‘a dialectical model of everything now known’,
in particular, because it does not yet explicitly address so-called “Dark
Energy” and “Dark Matter”, which are, it must be said, at present, just barely
entering into the ‘now known’. Nonetheless, Foundation researchers are well underway in the
work of bringing these new ‘‘‘matters’’’ -- and these new ‘‘‘energies’’’ --
into the very heart of this ‘meta-model’, via a new, deeper «arché», and a new, deeper,
‘first meta-«physis»’.
To afford you a feeling
for this ‘ALL
super-domain’ ‘dialectical Totality model’, the
image below expands upon our ‘‘‘Dialectic of
Nature’’’ as a whole model, or ‘Dialectical
Theory of Everything
[known]’
model, for just the first triad of the v = 3 version: for just its ALLt3 = 1
‘dialectical equation’ --
The version of the ‘‘‘Dialectical Theory of
Everything meta-equation’’’, or ‘Dialectic of Nature meta-equation’,
which is specified, and illustrated, in the next two images, below, is an
abbreviated, “lumped «arché»”
version of the Encyclopedia Dialectica
‘Dialectic of Nature meta-model’
for the ontological-categorial content of the totality of the known universe just described above.
The version described
below “lumps together” the ontological categories of the ‘pre-/sub-nuclear’ “particles” versus of the ‘nuclear
pre-/sub-atomic’ “particles”, or of the ‘‘‘non-composite bosons and fermions’’’ versus of
the ‘‘‘composite bosons and fermions’’’,
into a single starting
category, or «arché»
ontological category, that of the ‘pre-atomic’
“particles” [bosons and fermions, non-composite and composite alike].
Its ‘meta-equation
meta-model’ is --
ALL>-|-<tALL
= ALLr2tALL
-- and, for tALL = 7, i.e., for cosmological epoch 7, per its ‘‘‘equation-model’’’, the RHS [Right-Hand
Side] of its equation, when the 7-fold ‘‘‘self-involution’’’ [‘‘‘self-multiplication’’’] of ALLr is carried out, generates a ‘cumulum’ of 27 = 128
category-symbols for this, v = 2, version of
this ‘‘‘equation-model’’’ --
ALL>-|-<7 = ALLr27
= ALLr128
= ALLr + . . . + ALLh
-- wherein, in this
case, the 128th category-symbol, ALLh, connotes the
‘cosmo-ontological category’ of [planetary] human[oid]
societies.
The following image
provides a ‘‘‘models specification’’’ for the various ‘‘‘single-epoch models’’’
contained in that
‘lumped «
arché»’,
abbreviated version of this
‘Everything
meta-model’ --
The next image depicts
this abbreviated, ‘lumped «arché»’ meta-model’s 1st 2
stages of dialectical,
«aufheben» ‘self-meta-monad-ization’
--
The NQ_
and ‘Dyadic Seldon Function’ formulation of these psychohistorical-dialectical
equations can be rendered, and briefly described, as given below.
I. The Equation of Human
Ideology/Knowledge Meta-Evolution
a.
<<Arche’>>: Mythologies, M [---> q1.
b. ‘Dyadic Seldon Function’ Formula: <M>^(2^tk).
c.
Solution to epoch tk = 4:
<M>^(2^4) = <M>^(16) =
M + R + qRM + P + qPM + qPR + qPRM + K +
qKM + qKR + qKRM + qKP + qKPM + qKPR + qKPRM + Y [--->
q1 + q2 + q3 + q4 + q5 + q6 + q7 + q8 + q9 + q10 + q11 + q12 + q13 + q14 + q15 + q16.
d. Key
categories from the first sixteen categories of the fields/forms of human
ideology/knowledge can be summarily described using the
‘historical-systems’ assignment symbols, ‘<--->’ and ‘[--->’ --
M <---> Mythopoeias, “Myths-Makings”;
“Mythologies” [---> q1.
R <---> Religions, codified /
standardized / dogmatized, i.e., ‘Meta-Mythologies’ [---> q2.
qRM <---> Reconciliations
of R & M / conversions from M into R, e.g., Ancient Rome’s Pantheon [---> q3.
P <---> Philosophies, i.e., ‘Meta-Religions’
[--->
q4.
.
.
.
qPR <---> R|P reconciliations,
even qRP retrograde P to R conversions, e.g., Aquinas’ Summa Theologica
[---> q6.
.
.
.
K <--->
Scientific Knowledges, i.e., ‘Meta-Philosophies’ [---> q8.
.
.
.
qKPR <---> Includes
qPRK retrograde K|R to P conversions, e.g., Hegel’s Encyclopedia of the
Philosophical Sciences [---> q14.
qKPRM <--->Advanced science, K, subsuming/explaining Philosophy, Religion, & Mythology [not yet fully actual on Earth] [---> q15.
Y <---> ‘‘‘PsYchohistories’’’, i.e., ‘Meta-Sciences’,
e.g., Marx’s theory [---> q16.
The first triad of this reconstructed, historical '<<speci>>-ation' of the historical progression of the 'ideo-ontological categories' / kinds of human Ideologies\
Knowledges in this
'psychohistorical dialectic' of human
Ideologies\Knowledges Form[ation]s [using the Marxian definition of "Ideology"], can be depicted as follows --
Models Specification --
The next image depicts
this meta-model’s 1st 2
stages of dialectical,
«aufheben» ‘self-meta-monad-ization’
--
For
more amplitude about this particular ‘dialectical meta-model’ and ‘‘‘psychohistorical-dialectical
equation’’’, see –
[pp. B-09 through B-17]
II. The Equation of Human-Social Forces
of Production Meta-Evolution
a. <<Arche’>>: Whole
[proto-]human communities
[e.g., hunting bands]
as Prime Energy Resources for their own Human
Societal Self-[Re-]Production, Rh [---> q1. in
reverse. The deeper/earlier reaches
of the ontology of the cosmos become accessible, for human Appropriation,
as energy Resources, in the reverse
order of their formation, and, as such energy Resources, form the
core of the Marxian “social forces of production”. We are using the term “energy Resources”
here in a more concretely determinate, more specific, less ahistorically abstract,
less reductionist sense of the term ‘‘‘energy’’’ than is usually the case in contemporary
discourse.
b. ‘Dyadic Seldon Function’ Formula: <Rh>^(2^tf).
c. Solution to tf = 4:
<Rh>^(2^4) = <Rh>^(16) =
Rh + Rl + Rlh + Rb + Rbh + Rbl + qblh + Re +
Reh + Rel + Relh + Reb + Rebh + Rebl + Reblh + Rp [--->
q1 + q2 + q3 + q4 + q5 + q6 + q7 + q8 + q9 + q10 + q11 + q12 + q13 + q14 + q15 + q16.
d.
Key categories from the first sixteen categories of ‘the existential self-force
of human society’ -- of ‘human-societal self-reproductive
self-force’ -- can be
summarily described as follows, using the ‘historical-systems’ assignment symbols, ‘<--->’
and ‘[--->’
--
Rh
<---> Entire [proto-]human communities [e.g., hunting bands] as prime Resource
for predation-based social Re-production [---> q1.
Rl <---> Other proto-language-based
animal societies/ plant communities, as human energy resources [---> q2.
Rlh <---> Reconciliations
of Rl & Rh / conversions
from Rh into Rl [---> q3,
e.g., herding & horticulture.
Rb
<---> asocial animals & multi-cellular/’meta-biotan’ animal bodies, including human slaves’ bodies,
as exploited
energy Resources for human societal self-Reproduction,
e.g., draft animals; slave rowers, etc. [---> q4.
.
.
.
Re <--->
eukaryotic cells as energy resources for human societal
self-[re-]production [---> q8, e.g., breads,
beers,
wines/vinegars/cheeses/jerkies/yogurts/kefirs/pickles/chutneys,
other “spoiled food”/fermented products, as food preservation tech.
.
.
.
Rp <--->
prokaryotic, e.g., anaerobic, cells as energies
for social Reproduction [e.g., methane-generating “digesters”] [---> q16.
e.
Categories of interest irrupting into possibility in later epochs, tf > 4 --
Rmb comprises much ancient Roman technology, up
to, e.g., U.S. Civil War technology [--->
q36:
·
Ancient Roman temples
-- using stone [m];
“drum cranes” using wood [meta-biota, b],
rope [b], & sinew [b].
· Ancient Roman waterworks
flour
mills -- using stone [m]; water
[m], grain [b], wood [b], rope
[b], etc.
·
Ancient Roman aqueducts
-- using stone [m];
“drum cranes” using wood [meta-biota, b],
rope [b], & sinew [b].
·
Ancient Roman glassworks
-- using stone [m];
fire [m], metal [m] tools, wood [b] tools & fuels, glass-sand [m], diamond [m] cutting tools, etc., including to produce
unsurpassed “Portland vases” and “caged glass”.
·
circa 200
B.C.E.+ Chinese / Japanese “Magic
Mirrors” -- using metals [m],
fire [m], intensive hand
polishing [b].
·
17th Century
Japanese <<karakuri>> doll automatons [mechanical robots] -- using
wood [b], metal [m] springs, etc.
·
Ancient Roman
<<ballista>> catapults -- using stone missiles [m]; wood [b],
plant fiber/hair rope [b], & sinew [b].
·
Ancient Roman
<<hypocaust>> public baths -- using stone [m]; “drum cranes” [b], wood [b]
parts &
fuels, & fire
[m], water [m], air [m],
clay [m] pipes, socializing
human beings [h],
etc.: <---> Rmbh [---> q37.
·
Bushnell’s “Turtle”
single-occupant proto-submarine, U. S. First Revolutionary War vintage -- tar [b], wood [b],
cork [b], flint [m], glass [m],
lead [m], steel [m] bands, trapped water[m], trapped air [m], black powder [m], human-muscle-powered [hand-cranked] propeller [b].
·
Confederate H. L.
Hunley eight-person crew “fish boat” “torpedo boat”, or “torpedo fish” proto-submarine,
vintage U. S. Second Revolutionary [“Civil”] War -- wood [b], rope [b], rubber
[b], glass [m], iron [m], copper
[m] wire, “blue light”
pyrotechnic signal flare [m],
trapped water[m],
trapped air [m],
black powder [m], eight-persons
“social” crew, with a seven-persons-hand-cranked
propeller [h]: <---> Rmbh [--->
q37; both steam-powered [m] and electrical motored [a] propulsion was tried, but failed; there are possible
recently-discovered archaeological indications of chemical/molecular
battery-powered electrical [a; m]
torpedo detonation: <---> Rambh [---> q101.
Ramh encompasses much recent ‘‘‘android robotics’’’
technology [---> q97:
·
Tokyo University
of Science, Dr. Hiroshi Kobayashi’s <<Saya>> android
proto-robot, using electronics [a], metals [m],
human behaviors [h],
etc.
Rameb encompasses much recent ‘‘‘Genetically-Modified Organisms’’’
[GMO] technology [--->
q108:
·
Japanese
interferon-producing GMO silk worms, created using electronics [a], metals [m],
silk worm eukaryotic cell nucleus [e] DNA [m],
silkworms [b],
etc.
Ram encompasses many recent speculative designs for subluminal
interstellar drive engines [---> q96:
·
Ion engines,
using electronics [a], [ionized]
atoms [a], metals parts [m], etc.
Rnam encompasses much now-emergent or
speculative technology [--->
q352:
·
Dr. Robert
Bussard’s “polywell” fusion power reactor, involving photons [n], vacuum-propagating atomic [sub-]orbitals’ free electrons [n], ionized
[plasma] atoms [a], and
metal parts [m],
etc.
Rnsam also encompasses much now-emergent or
speculative technology [--->
q470:
·
“Stellar Wind Sail”
starship designs, using solar/stellar photon [n] "winds", &/or
[sub-atomic]“particle” "winds", e.g., space-proagating solar/stellar protons [s],
“atom” [ion] plasma "winds" [a], metal
parts [m], etc.
·
F.E.D.
‘tachyonic meta-phase’ superluminal interstellar-drive design-hypothesis described
earlier in this series.
The first triad of this reconstructed, historical '<<speci>>-ation' of the historical progression of '''historically-<<speci>>-fic''' [cf. Marx] historical-<<species>> of the human "social forces of production" [cf. Marx] 'psychohistorical dialectic' can be depicted as follows --
Models Specification --
III. The Equation of Human-Social Relations
of Production Meta-Evolution
a. <<Arche’>>: Appropriations [of products
of pre-/extra-human Nature, in “raw” form], A [---> q1.
b. ‘Dyadic
Seldon Function’ Formula: <A>^(2^tr).
c. Solution to epoch tr = 4:
<A>^(2^4) = <A>^(16) =
A + G + qGA + C + qCA + qCG + qCGA + M +
qMA + qMG + qMGA + qMC + qMCA + qMCG + qMCGA + K [--->
q1 + q2 + q3 + q4 + q5 + q6 + q7 + q8 + q9 + q10 + q11 + q12 + q13 + q14 + q15 + q16.
d. Key
categories from the first sixteen categories of human social relations of societal self-re-production can be summarily described as follows, using the
‘historical-systems’ assignment symbols, ‘<--->’ and ‘[--->’ --
A <---> “Raw” Appropriations, “Predations” [---> q1.
G <---> Goods Production, ‘multi-appropriations’ [e.g., burins from glassy stones]; ‘Meta-Appropriations’ [---> q2.
qGA <---> Reconciliations
of G & A / conversions from A into G [---> q3,
e.g., spears applied in hunting.
C <---> Bartered
Commodities, i.e., ‘Meta-Goods’ [---> q4.
.
.
.
M <--->
Monies,
i.e., ‘Meta-Commodities’ [---> q8.
.
.
.
qMC <---> Subsumption
of Commodities by Monies, i.e., Monies-mediated
circulations of Commodities [---> q12.
.
.
.
K <--->
<<Kapitals>>, i.e.,
‘Meta-Monies’ [---> q16.
The first triad of this reconstructed, historical '<<speci>>-ation' of the '''forms of human-social intercourse''' [cf. Marx and Engels, The German Ideology] '''historically-<<speci>>-fic''' [cf. Marx] historical-<<species>> of this 'psychohistorical dialectic', can be depicted as follows --
e.
Categories of interest, observed as having, or predicted to, irrupt into
possibility in later epochs, tr >
4
--
qKG <---> Real
subsumption/reshaping of Goods-production by the <<Kapital>>-relation; & including <<Kapital>> Goods [---> q18.
qKC <---> Real
subsumption of the Commodity-relation by the <<Kapital>>-relation;
includes “Commodity <<Kapital>>” [---> q20.
qKM <---> Real
subsumption of the Money-relation by the <<Kapital>>-relation;
includes “Money <<Kapital>>” [---> q24.
qKK <---> E <---> Self-subsumption of the <<Kapital>>-relation; The Generalized ‘Equity-arian’ ‘Political-ECONOMIC
DEMOCRACY’ of “the associated producers” [Marx], i.e.,
‘Democratic Communism’ [---> q32.
Models Specification --
The next image depicts
this meta-model’s 1st 2
stages of dialectical,
«aufheben» ‘self-meta-monad-ization’
--
For
more amplitude regarding 'Political-ECONOMIC DEMOCRACY', see –
http://www.equitism.org/Equitism/Theory/PoliticalEconomicDemocracy/PoliticalEconomicDemocracy.htm
[pp. B-24 through B-38]
IV. The Equation of Human-Social Formation(s)
Meta-Evolution
a. <<Arche’>>: bands/extended
families of hunter-gathers/scavengers/foragers/predators, b [---> q1.
b. ‘Dyadic
Seldon Function’ Formula: <b>^(2^tm).
c. Solution to epoch tm = 4:
<b>^(2^4) = <b>^(16) =
b + c + qcb + v + qvb + qvc + qvcb + f +
qfb + qfc + qfcb + qfv + qfvb + qfvc + qfvcb + s [--->
q1 + q2 + q3 + q4 + q5 + q6 + q7 + q8 + q9 + q10 + q11 + q12 + q13 + q14 + q15 + q16.
d. Key categories from the
first sixteen categories of human social/‘meta-geological’ formation(s)
can be summarily described as follows, using the ‘historical-systems’
assignment symbols, ‘<--->’ and ‘[--->’ --
b <---> bands/extended families
of hunter-gathers/scavengers/foragers/predators [---> q1.
c <---> camps, ‘multi-band’ semi-permanent
home bases; ‘meta-bands’ [---> q2.
qcb <---> Reconciliations/hybridizations
of c & b / conversions
from b into c [---> q3, e.g., advantaged,
expanding camps.
v <---> villages, ‘multi-camp’,
long-duration settlements, ‘meta-camps’ [---> q4.
.
.
.
f <---> chiefdoms,
multi-village, “tribal” domains; ‘meta-villages’
[--->
q8.
.
.
.
s <---> city-states,
i.e., ‘meta-chiefdom’, or ‘meta-tribal’,
social formations [---> q16.
The first triad of this reconstructed, historical '<<speci>>-ation' of the historical progression of '''historically-<<speci>>-fic''' [cf. Marx] historical-<<species>> of human society in this 'psychohistorical dialectic' of '''human-social formation(s)''' [cf. Marx], can be depicted as follows --
e.
Categories of interest, observed as having, or predicted to, irrupt into
possibility in later epochs, tm >
4
--
e <---> empires,
multi-city-state ‘meta-city-states’ [---> q32.
n <---> nation-states,
multi-empire-remnant ‘meta-empires’ [---> q64.
p <---> planetary-poli,
multi-nation-state ‘meta-nation-states’ [not yet known extant]
[--->
q128.
m <---> multi-planetary federations;
‘meta-planetary-poli’ [not yet known extant]
[--->
q256.
Models Specification --
The next image depicts
this meta-model’s 1st 2
stages of dialectical,
«aufheben» ‘self-meta-monad-ization’
--
For
more amplitude about this particular ‘dialectical meta-model’ and ‘‘‘psychohistorical-dialectical
equation’’’, see –
Robert Wright, NONZERO: The Logic of Human Destiny, Pantheon [New York: 2000],
pp. 20, 78-92,
102, 109, 110-111, 12, 113, 125, 165, 353, 355, 357, 363, 365, 368, 376, 402, etc.
[p. B-23]
[slides 54-59]
V. The Equation of
the Human Genome / Human ‘Phenome’ Systematic-Dialectic
a.
«Arche’»: The human Genome, as a mediately[
‘Darwinianly’]-developing meta-system, from its proto-human origin, G [---)
q1.
b. ‘Triadic Seldon Function’ Formula: (G)^(3^1).
c. Solution to epoch tG = 1:
(G)^(3^1) = (G)^(3) =
G + P + qPG [---)
q1 + q2 + q3.
d. The categories of human
genomic/human phenomic ‘co-meta-evolution’ can be summarily
described as follows, using the ‘systematic-dialectics’ assignment symbols,
‘(---)’
and ‘(--->’
--
G (---) The ‘meta-evolving’ “human Genome”
[---)
q1.
P (---) The ‘meta- evolving’ ‘human Phenome’ of non-chromosomal, phenotypic, cultural,
“acquired characteristics” [---) q2.
qPG (---)
Their ‘‘‘co-meta-evolving’’’ hybrid;
the ‘‘‘complex unity’’’ of the human Phenome/human Genome [---) q3.
The overall triad of this Method of Presentation [ = '''Systematic
Dialectic'''] for this progression of 'ideo-ontological' conceptions of human Nature be depicted as follows --
For
more amplitude about this particular ‘dialectical meta-model’ and ‘‘‘psychohistorical-dialectical
equation’’’, see –
VI. The Equation of the Meta-Evolution of Planetary Human[oid]ities
a. <<Arche’>>: planetary 'humanitys', h [---> q1.
b. ‘Dyadic
Seldon Function’ Formula: <h>^(2^th).
c. Solution
to epoch th = 1:
<h>^(2^1) = <h>^(2) = h + delta-h =
h + y [---> q1 + q2.
This predicted, next-epoch '<<gene>>-ation' of delta-h = y, the next new 'self-hybrid' <<genos>> of 'cosmo-ontology', can be depicted as follows --
d. The
two ‘[psycho]physio-ontological categories’ for this meta-evolution of planetary human[oid]ities
equation, and the three sub-categories of the second-to-emerge into possibility of those categories,
can be summarily described as follows, using the ‘historical-systems’
assignment symbols, ‘<--->’ and ‘[--->’ --
h <---> ‘planetized’ ‘humanitys’ [or ‘planetized
human[oid]ities’] [---> q1.
delta-h <---> y <---> ‘meta-humanitys’ [---> q2; a ‘taxonomy level 1’ «genos»
with 3 «species» --
<g>^(3^tg) = <g>^(3^1) = <g>^(3) =
g + r + qrg = g + r + c [---> q1 + q2 + q3 --
g <---> ‘Thesis’
<<species>>: ‘meta-humanity’ via human-genomic self-re-engineering [---> q1.
r <---> ‘Antithesis’
<<species>>: ‘meta-humanity’ via android robotics [---> q2.
qrg <---> c
<---> ‘Synthesis’ <<species>>: ‘‘‘complex unity’’’ of r & g;
‘meta-humanity’
via cyborg prosthetics/bionics [---> q3.
The triad of this predicted, next-epoch '<<speci>>-ation' of the body-forms <<species>> of this new <<genos>> 'cosmo-ontological' category, 'the meta-human', can be depicted as follows --
For
more amplitude about this particular ‘dialectical meta-model’ and ‘‘‘psychohistorical-dialectical
equation’’’, see –
[p. I-19]
VII. The Equation of The
Psychohistorical Dialectic of the Dialectic Itself
a. <<Arche’>>: Systematic
/ Synchronic
Dialectics, S [--->
q1.
b. ‘Dyadic Seldon Function’ Formula: <S>^(2^t#).
c. Solution to epoch t# = 2:
<S>^(2^2) = <S>^(4) =
S + qSS + qSSS + qSSSS =
qS + qH + qHS + qHH = qS + qD + qDS + qDD =
S + H + M + Y [---> q1 + q2 + q3 + q4.
d. These four
‘human-historical ideo-ontological’ categories of Dialectics can be
summarily described as follows, using the ‘[psycho]historical-systems’
assignment symbols, ‘<--->’ and ‘[--->’ --
S <---> Systematic
/ Synchronic
Dialectics, S [---> q1.
H <---> Historical
/ Diachronic
Dialectics, H [---> q2.
M <--->
Meta-Systematic
/ Diachronico-Synchronic Dialectics,
M [---> q3.
Y <---> PsYchohistorical Dialectics, Y [---> q4.
The tetrad of the historical <<species>> of the <<genos>> of dialectics, can be depicted as follows --
For
more amplitude about this particular ‘dialectical meta-model’ and ‘‘‘psychohistorical-dialectical
equation’’’, see –
Key Challenges for ‘“Simultaneous”’
and ‘QUANTO-Qualitative’
Solution of these 7 [Meta-]Equations.
1. Correlating
the different ‘‘‘tempos’’’/temporalities/‘epochalities’ of the six psychoHISTORICAL [meta-]equations among the seven [meta-]equations presented above, since, in general, and given that ‘Rt(·)’ denotes a function which converts ordinal times to real, historical ‘“Real”’ times [really, to ‘‘‘Rational-Number times’’’] --
{Rt(tI\K)} ~= {Rt(tF)} ~= {Rt(tR)} ~= {Rt(tm)} ~= {Rt(ALLt2)} ~= {Rt(t#)};
2. Modeling the thus coordinated quantitative
‘epochality’ using “continuous” rather than “discrete” arithmetical models of time, e.g., using time-value
Rt not in W; i.e., more specifically, using
time-value Rt in
R | R is the set of the “Real” Numbers -- R contains Rt not in W;
3.
Re-expressing the ‘quality meta-dynamics’,
or ‘ontology meta-dynamics’,
of the qualifier-sums
in these “purely”-qualitative, “purely”-ontological [meta-]equations, more
determinately, as ‘‘‘[space-]time varying’’’ evolution state trajectory/[self-]control path
dynamics, with [‘metafinite’,
ontologically-revolutionary] ‘‘‘singularities’’’, for
time-function-quantifier quantified
state-variables and control-parameters, expressed in the higher, later
dialectical-ideographical
languages of
combined, dynamical and ‘meta-dynamical’ [superz-][meta-]systems, by means of ‘singularity semantification’, resulting from ‘ontological and metrical qualifier’
‘re-qualification of
“standardly” ‘‘‘unqualified’’’,
quantifier(s)-only dynamical equations [also by division-by-zero
‘semantification’
& ‘metafinitization’, via the Rmu+ axioms for the revolutionary new mathematical ‘ideo-ontology’ of ‘full zero’];
4. Facilitated by 1.
& 2. & 3.,
solving this system of 7 [meta-]equations ‘‘‘simultaneously’’’;
5. Modeling the ‘inter-mutual’ interactions among
the ontologically distinct
but co-existing actualities described by these 7 [meta-]equations, i.e., dialectically modeling the interactions
of the actualities described by each such [meta-]equation with the other,
co-extant actualities described by each of the other such [meta-]equations.
6. Deriving a single ‘super-meta-equation’,
unifying all 7 of the [meta-]equations presented above.
Dialogically yours,
Aoristos
Dyosphainthos"