One of the advantages of being able to stand on the shoulders of Leibniz, Boole and other giants, while armed with the general principle of structured~duality and the insight of reality being nested fields within nested fields is it is far easier to notice slight adaptations to and modifications of their contributions than it is to originate such completely new foundations, as they did.
Yet, upgrading the Boolean 'yes/no' logic, of course, may seem an impossible task. In fact, except that it is necessary to match up with experience, one might well wonder why anyone would think of doing such a thing.
However, if one looks around, in addition to the two-state instance in the Boolean 'yes/no' pattern, whether one chooses to consider things as nested fields within nested fields, multiple-states, and/or even as nested dimensionalities, beside the Boolean 'yes/no' two states, we also encounter and experience nearly overwhelming amounts of various forms of 'maybe' -- uncertainties, vagaries, indeterminacy, creative complexities, etc., that clearly implicate additional states beside 'yes' and 'no'.
When one adopts the underlying principle of structured~duality and shifts over to analog, rather than abstract math being primary, and then explores the *feel* of the five primary states, and the ten additional secondary states of the magnetic tetrahedron, one gains, among other things, an appreciation for the six states of the n2s2 magnetic tetrahedron -- two north vertices and two south vertices which can form or arrange in six states within an enfolding (cubic) field. Thus, nesting structures within other structures induces additional states.
In our (organic-based life-forms) instance, the six states of the magnetic tetrahedron (a tactile, analog math symbol) are an analog of the ~six states of a similarly configured entity: the tetrahedral-like water molecule. Body-wide, within our respiration sites, 10^20 of these units form each second, each of which can form in one of the six possible configurations naturally influenced by the vibrations of the surroundings. Thus a sequence of, say, 12 molecules forming at one site during an on-going instance of respiration, coincident with experience, can form in 6^n, or 6^12, or about 2.2 billion different patterns. Repeating experiences, really ought to induce repeating patterns of such hydrogen bonding.
So, since Leibniz and Boole, and everyone else were or are all running the exact same type of internal structural coding or analog math active representational system, it's not that difficult to notice, grasp, or imagine one common representation of Leibniz's monads. Moreover, for that matter, it's fairly straightforward to see , just comparing 6^n with 2^n, to see that Boolean logic which later gave us the currently familiar 2^n digital structural coding is just a simplification or initial step into multiple-state structurally coded representations.
We're already running it naturally (or it is running us), but when or if we get around to additional levels of ~computing and nested structural coding, or if considering some of how we and other living creatures represent and negotiate uncertainty and complexity, the basic internal analog math is actually quite accessible. That is, it is quite accessible via the analog math short-cut, as evidenced herein. The alternative path, assuming abstract math as primary, apparently involves 15 to 30 years of arduous academic prerequisites which means that path obviously will likely never be open for general global science education.
In this manner, upgrading the Boolean monadology is quite a simple matter of considering 6^n rather than 2^n and conceptualizing the analog math symbols that give some *feel* for the six choices: no, quite likely no, maybe no, maybe yes, quite likely yes, and yes.
Orientation-wise, if 'yes' has both north poles on the top of the enfolding cube, and 'no' has both north poles on the bottom, then the other four 'maybe' choices are "on the sides".
Think about it.
Best regards,
Ralph Frost
http://structuredduality.blogspot.com
With joy you will draw water
from the wells of salvation. Isaiah 12:3
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