**THE CALCULUS OF DISTINCTIONS**

I am
posting this for my friend Brian and for anyone for whom the mathematics of
TDVP appear to present a formidable barrier. What is the Calculus of Distinctions?
We often hear: “Math is the language of science.” This is of course true, and the
mathematics of TDVP is the Calculus of Distinctions. Furthermore, the Calculus
of Distinctions is the mathematics of consciousness. So the Calculus of Distinctions
is the language of science, when science recognizes that consciousness is a
fundamental part of reality and not just an accidental afterthought. The Calculus
of Distinctions puts consciousness into the equations of the physical laws of
the universe for the first time in the history of modern science. How does it
do that? It does it by starting with the definition of the first distinction as
the distinction of self from other; and by pointing out that any distinct object
has meaning only as part of the triad: 1.) the Object. 2.) That from which the
object is distinguished, and 3.) The conscious entity drawing the distinction.
Thus, when consciousness is included, the logical language and mathematical model
of reality becomes triadic, not binary, as contemporary science assumes. The
Calculus of Distinctions opens science to broader aspects of reality currently
ignored by mainstream science.

**.**

*Scientists dreaming of a Theory of Everything are attempting to create a logical, mathematical model of reality based on a very limited part of the less than 5% of reality that is available to us through our physical senses and the mechanical extensions of those senses*
I want to
put the Calculus of Distinctions into the proper perspective by pointing out to
you how the languages of the logic, mathematics and models of the universe
relate to the actual structure of reality. The Calculus of Distinctions is a
language that reflects the logical structure of physical reality

*and*consciousness. It is a comprehensive logical language that includes the logic of Newton’s calculus as a sub-set related to the mid-scale of reality. It expands the model to include the relativistic principles of the very large, and the quantum nature of the very small. I’ve done this by using the principles of relativity, quantum mechanics and the experimental data of the Large Hadron Collider to derive the Triadic Rotational Unit of Equivalence (the TRUE unit for short), as the basic unit of distinction. In this way, it allows us to apply universal logic to the small fraction of reality available to us through the physical senses, without ignoring the broader picture of reality we have glimpsed through the insights of relativity and quantum physics.
What is a
language? A language is built up of a group of sounds, each one easily
distinguishable from the others, like, e.g., ah, eh, ee, oh, oo; buh, cuh, duh,
fuh, guh, huh, juh, kuh, … The symbols representing these sounds form an
alphabet, and combinations of these sounds, known as vowels and consonants,
form words, which we use to represent images formed in our consciousness from
sense data that we take to be representative of distinct objects existing in
reality. A sentence is a statement expressing a logical structure, and an
equation is simply a sentence or statement in a quantized language analogous to
a sentence in a verbal language: If the left-hand side of an equation is taken
to be the subject, the equals sign is the verb, and the right-hand side is the
predicate. Just as in a verbal language, modifiers and connectors can be added
in to make equations more complex in order to represent the logical structure
of reality. So, all of the words and statements of a language, verbal or
mathematical, comprise a symbolic model of reality. Such a model is a logical system and therefore ever incomplete by Gӧdel's incompleteness theorems.

Adhering
to the logical rules of operation and calculation, math is a language as devoid
of speculation as we can make it, and its application, in so far as its
axiomatic basis corresponds with reality, leads to valid conclusions. The
Calculus of Distinctions encompasses the logic of all languages, whether verbal
or mathematical, by including consciousness and the actions of conscious
entities (the drawing of distinctions) as a complete triadic logical system. As
you might expect, the operational rules of the Calculus of Distinctions are
different from those of contemporary mathematics. I have developed them and
published them elsewhere, and will provide references for anyone who wants to
pursue learning them. Those familiar with George Spencer Brown’s “Laws of Form”
will see similarities in some of the basic forms, because logic, in its purest
form is universal. However, the Calculus of Distinctions differs very
significantly from the calculus of indications in the Laws of Form in several
ways: In the Calculus of Distinctions, in contrast with the Laws of Form and
other systems of symbolic logic,

*existence*is central, and dimensionality is explicit.
I spent two years working with
Russian mathematician Vladimir Brandin developing the dimensionality of the Calculus
of Distinctions. A short summary of our work was published in Moscow in 2003. And the application
of the Calculus of Distinctions to quantum reality was developed over the past six plus years in
collaboration with Dr. Vernon Neppe.