in case the special characters don't come out...
I was thinking about your primitive of arithmetic truth (numbers, 0, +, and
*, right?) and then your concept of ‘the dreams of numbers’, interviewing
Lobian Machines, etc and came up with this.
One single irreducible digit ॐ (Om) which represents a self-dividing
continuum of infinite perpendicular dialectics between eidetic dream states
(in which dream~numbers escape their numerical identities as immersive
qualitative experiences) and entopic non-dream states (in which
number~dreams escape their dream nature as literal algebra-geometries).
This continuum f (ॐ(Om)), runs from infinitely solipsistic/private first
person subjectivity (calling that Aleph *ℵ*)to infinitely discrete/public
third person mechanism (calling that Omega *Ω*), so that at *ℵ*,any given
dream is experienced as 99.99…9% dream and 0.00…1% number and at *Ω*(Omega),
any given machine or number is presented as 99.99…9% number and
0.00…1% dream.
The halfway point between the *ℵ *(Aleph) and* Ω* (Omega) axis is the
perpendicular axis f (-ॐ(Om)) which is the high and low correspondence
between the literal dream and figurative number (or figurative dream and
literal number depending on whether you are using the dream-facing
epistemology or the number-facing epistemology). This axis runs from tight
equivalence (“=” equality) to broadly elliptical potential set membership
(“…” ellipsis)
So it looks something like this:
f(ॐ) ⊇ *{ℵ** “…**” ⊥** “=**” Ω**}*
function (Om) is superset or equal to the continuum ranging from Aleph to
ellipsis perpendicular/orthogonal to the inverse range from equality to
Omega).
To go further, it could be said that at *Ω*(Omega), ॐ (Om) expresses as *
10|O* (one, zero, line segment, circle referring to the quantitative
algebraic and geometric perpendicular primitives) while at *ℵ* (Aleph), ॐ
(Om) expresses as
יהוה (tetragrammaton or yod, hay, vov, hay, or in perhaps more familiar
metaphor, ♣♠♥♦(clubs, spades, hearts, diamonds)
where:
♣ clubs (wands) =Fire, spiritual, tactile
♠ spades (swords) = Air, mental, auditory
♥ hearts (cups) =Water, emotional, visual
♦ diamonds (pentacles/coins) = Earth, physical, olfactory-gustatory
Note that tactile and auditory modalities tune us into ourselves and each
others sensemaking (selves and minds), while the visual and
olfactory/gustatory sense modalities are about objectifying realism of the
world (egos or objectified selves/self-images and bodies). It should be
obvious that ♣ clubs (wands) and ♠ spades (swords) are stereotypically
masculine and abstracting forces, while ♥ hearts (cups) and ♦ diamonds
(pentacles/coins) are stereotypically feminine objectified fields.
Sorry for the mumbo jumbo, but it is the only way to be non-reductive when
approaching the qualitative side. We can’t pretend to talk about the
eidetic, dream like perpendicular of number logic while using the purely
empirical terms of arithmetic reduction. We need symbols that can only
refer to named qualities rather than enumerated quantities.
Let the ignoring and insulting begin!
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