Dear Psycho-History Group Members,


Part II.:

Prelude to the Psycho-Historical Equations -- A Model of the History of Nature.


A New, Non-Reductionist Model of the Universe, formulated in the language of the
'Meta-Natural Meta-Numbers' -- a Non-Standard Model of the Standard Natural
Numbers, with a Contra-Boolean Algebra / Dialectical Logic.



NOTE: In the notation (^k)q|x, the k is a 'PRE-super-script' of q|x, a kind of
superscript placed before/to-the-left of its "base", here q|x, rather than
after/to-the-right of its base, as with conventional exponents/powers. In this
notation, k denotes a Natural Number which indicates the level of the F.E.D.
universal taxonomy in which the ontological category denoted q|x arises. Also,
in "meta-numerals" of the form 'q|x', 'x' is the specifying subscript of
[underscored] 'q', the generic "ontological qualifier" symbol.

Additionally, the following generic meanings of such "combinatory", and
"cross-product" terms, of such historical-dialectical models, will apply, per
the F.E.D. standard interpretation:


A. Hybrid Ontological Categories.

A generic "cross-product" term, such as (^k)q|zy, connotes an "ontological
hybridization" of the (^k)q|z and (^k)q|y ontological categories, or "ontos",
exhibiting characteristics of both of its consitutent "ontos", and mixing
together the " monads" , or units, of category (^k)q|z and of category (^k)q|y,
allowing those different kinds and different levels/scales of " monads" to
mutually interact.


B. "Complex Unities", or "[Partial] Syntheses", of Successor with Predecessor
Ontology.

A generic "cross-product" term, such as (^k)q|zy, connotes the "complex unity",
or the "unifying complex", of category (^k)q|z and category (^k)q|y. It
signifies a new " arithmos" , combining the units, or " monads" of the (^k)q|z
" arithmos" with those of the (^n)q|y " arithmos" .

For example, in a case where the taxonomy level, k, is equal to 1 -- the case of
(^1)q|as, discussed also already above -- this combination of the "atomic nuclei
" monads" " ontological category / " arithmos" , (^1)q|a, with the
"proto-nuclear sub-atomic particles/" monads" " ontological category /
" arithmos" , (^1)q|s, connotes the category of "first-generation stars", as its
hybrid " monads" , or hybrid units.

In each stellar macro-" monad" /macro-unit of this (^1)q|as macro-" arithmos"
of macro-" monads" , the as yet few/little populated sub-categories of the
extant micro-units/micro-" monads" of the developing, "atomic", successor
ontology, (^1)q|a -- e.g., ionized Hydrogen-Deuterium atom nuclei, ionized
Hydrogen-Tritium atom nuclei, ionized Helium atom nuclei [i.e., "alpha
particles"], etc. -- "mix" with, and interact with, the still-prevalent
sub-populations of the extant micro-" arithmos" of "sub-atomic"
micro-units/micro-" monads" of the predecessor, "sub-atomic proto-nuclear",
ontology, (^1)q|s -- e.g., "naked singleton protons" [i.e., plasma -- ionized --
"normal" Hydrogen atoms], "naked singleton neutrons", etc. -- in a way which
brings about the "population" of the possible "higher atomic number"
sub-categories of the (^1)q|a category: the up-conversion of sub-atomic-level
ontology, (^1)q|s, into "meta-sub-atomic-level ontology", that is, into
atomic-level ontology, (^1)q|a.

The ontological "categorigram", or "connoticon", (^1)q|a, corresponds to the
generic "ontological qualifier meta-number", q|4, of the "uninterpreted"
["minimally-interpreted"] N\Q arithmetic. The (^1)q|s "categorigram" corresponds
to the generic "ontological qualifier meta-number" q|2. Thus, the "categorigam"
(^1)q|as corresponds to [ a relation denoted herein by '[--->' ] the generic
qualifier --

q|4+2 = q|6.

The "categorigram" --

(^1)q|as [---> q|6

-- does not represent the "full synthesis" term, or "full uni-thesis" term, for
its epoch of self-expanding cosmological possibility.

Instead, it represents a "partial synthesis", or "partial uni-thesis", term,
because it still leaves out of its "complex unity" one constituent of
predecessor "physio-ontology", namely, (^1)q|n, the " arche'" ontological
category / " arithmos" , that has "pre-nuclear particles" as its
" monads" /units.

The "full synthesis", or "full uni-thesis", for the epoch of cosmological
possibility in which (^1)q|as first arises, per this model, is --

(^1)q|asn [---> q|4+2+1 = q|7.

This "second grand uni-thesis" "categorigram", (^1)q|asn, connotes the possible
past existence of, or even the possible past-to-present existence of,
cosmological macro-formations that accomplish a "tri-fold" conversion of (^1)q|s
and of (^1)q|n monadic ontology into (^1)q|a monadic ontology, as connoted by
(^1)q|a(s)(n), and/or of other such macro-formations, which might accomplish a
"bi-fold" conversion of the (^1)q|n-to-(^1)q|s [i.e., or (^1)q|sn ],
macro-converters, into (^1)q|sn-to-(^1)q|a [i.e., (^1)q|a(sn) ],
macro-converters.

There is, within this same epoch, also another "partial synthesis", or "partial
uni-thesis", " arithmos" of macro-converter macro-" monads" , or macro-units,
potentially building the accumulation of the "atomic nuclei", or (^1)q|a,
monadic ontology, in the model's "possibility-space", namely --

(^1)q|an [---> q|4+1 = q|5

-- connoting an " arithmos" of macro-" monads" , or of macro-units,
accomplishing the direct, "stage-skipping", "level-skipping", or "meta-fractal
scale-skipping" conversion of "pre-nuclear particle" micro-" monads" , or
micro-units, (^1)q|n, into "atomic nuclei" micro-units, or micro-" monads" ,
(^1)q|a.


C. "Real Subsumptions" of Predecessor Ontology by Successor Ontology.

A generic "cross-product" term, such as (^k)q|zy, connotes the "Real
Subsumption" of predecessor ontology, here connoted (^k)q|y, by the successor
ontology, here connoted by (^k)q|z, as opposed to the mere "Formal Subsumption"
of (^k)q|y by (^k)q|z, which already begins to emerge in the immediately
preceding epoch of such a model, by the mere and simple emergence of (^k)q|z as
a supercession of, and successor ontological category /
" arithmos" -of-" monads" to, the (^k)q|y category.

For example, in the cosmological "physio-ontological Cumulum", connoted by --

(^1)C(2) = < (^1)q|n >^2(^2) = < (^1)q|n >^4 =

(^1)q|n + (^1)q|s + (^1)q|sn + (^1)q|a

-- the "Formal Subsumption" of (^1)q|n, (^1)q|s, and (^1)q|sn, by (^1)q|a, has
already begun.

In the immediate-successor cosmological "Cumulum", connoted by --

(^1)C(3) = < (^1)q|n >^2(^3) = < (^1)q|n >^8 =

(^1)q|n + (^1)q|s + (^1)q|sn + (^1)q|a +

(^1)q|an + (^1)q|as + (^1)q|asn + (^1)q|m

-- the "Real Subsumption" of (^1)q|n, (^1)q|s, and (^1)q|sn by (^1)q|a has
begun, via the emergence of the "assimilation", or "appropriation"
["conversion"], of (^1)q|n, (^1)q|s, and (^1)q|sn into (^1)q|a -- the
"synthesis" of the (^1)q|a successor, "meristemal" ontology from the (^1)q|n,
(^1)q|s, and (^1)q|sn predecessor ontology, through "partial consumption" /
"partial depletion" / "partial dis-accumulation" of that predecessor ontology --
as connoted by the presence of the new terms (^1)q|an, (^1)q|as, and (^1)q|asn,
respectively.

Note also, that, in the same epoch in which the "Real Subsumption" of the
(^1)q|a-predecessors, the (^1)q|n, (^1)q|s, and (^1)q|sn ontology, has begun,
(^1)q|m, connoting the ontological category / " arithmos" that has "molecules"
-- "meta-atoms, each one typically made up out of a heterogeneous multiplicity
of atoms" -- as its micro-" monads" , or micro-units, has emerged, thus
launching the beginning of the "Formal Subsumption" of the (^1)q|n, (^1)q|s,
(^1)q|sn, (^1)q|a, (^1)q|an, (^1)q|as, and (^1)q|asn predecessor ontology, by
the (^1)q|m successor ontology.

This interpretative concept, of the "Formal Subsumption" of predecessor
ontology, by successor ontology, versus, and followed by, the "Real
Subsumption", of predecessor ontology, by successor ontology, generalizes -- to
historical "ontological dialectics" in general -- the Capital-Relation-specific,
human-social-ontological findings of Karl Marx, in his [unpublished] sixth
chapter to " Buch" I. of his treatise "Capital, A Critique of Political
Economy", under the headings "Formal Subsumption of Labor under Capital", and
"Real Subsumption of Labor under Capital, or the Specifically Capitalist Mode of
Production" [see Karl Marx, Frederick Engels, Collected Works, Volume 34,
International Publishers, NY, 1994, pp. 424 ff., & 428 ff.].


D. "Ontological Conversion Formations" for the "Synthesis" of Successor Ontology
from Predecessor Ontology.

A generic "cross-product" term, such as (^k)q|zy, connotes a cosmological
ontological category -- and a cosmological macro-" arithmos" of
macro-" monads" -- whose macro-cosmic " monads" , or macro-cosmic "units",
convert the micro-" monads" of the (^k)q|y micro-" arithmos" into the [usually
larger, but still] micro-" monads" of the (^k)q|z " arithmos" , in a way which
is "catalyzed" by the presence of micro-" monads" of the same (^k)q|z
micro-" arithmos" in the hybrid "mix" of micro-" monads" that is contained in
each such "macro-conversion-formation" macro-" monad" of the (^k)q|zy
macro-" arithmos" / ontological category.

That is, a generic "cross-product" term, such as (^k)q|zy, here connotes a
cosmological ontological category -- and a cosmological macro-" arithmos" of
macro-" monads" -- which synthesizes micro-" monads" of the (^k)q|z
micro-" arithmos" , as its "output", from micro-" monads" of the (^k)q|y
micro-" arithmos" , used as its "input".


E. "Reproductive Accumulation" of Successor Ontology using Predecessor Ontology
as Resources, versus "Primitive Accumulation", or "Original Accumulation" of
Successor Ontology.

A generic "cross-product" term, such as (^k)q|zy, connotes a cosmological
ontological category -- and a cosmological macro-" arithmos" of
macro-" monads" -- whose macro-cosmic " monads" , or macro-cosmic "units",
"expandedly reproduce", and thereby increasingly "accumulate", the
micro-" monads" of the (^k)q|z micro-" arithmos" , in a sustained, recurrent,
and continuing/ongoing way, by continually transforming [usually smaller]
micro-" monads" of the (^k)q|y " arithmos" , into [usually larger, though still
"micro"] micro-" monads" of the (^k)q|z " arithmos" , in a way which is
"catalyzed", and, in effect, "supervized", by the presence of micro-" monads"
of that same (^k)q|z micro-" arithmos" , in the hybrid "mix" of micro-" monads"
that is contained in each such "macro-conversion-formation" macro-" monad" of
the (^k)q|zy macro-" arithmos" / ontological category.

[TO BE CONTINUED.]

Regards,

Psi_Sci