List, Kirsti:

> On Apr 7, 2016, at 3:15 AM, [email protected] 
> <mailto:[email protected]> wrote:
> 
> But let me first ask you some questions, to help me formulate my answer.
> 
> 1) You concentrate on chemical symbols. - How about chemical reactions?

JLRC:  My interest for several decades has been on the antecedent-consequent 
relation between a mutation and the change in an organism. How does it happen?
Chemical symbols and chemical reactions (as biochemical processes) are 
necessary connections between the antecedent and the consequence. 
That being said, the pre-percept of all chemical symbols, today, is the 
chemical table of elements.  All chemical processes, reactions, diffusion, 
bindings, transfers are expressed in terms of the components (nuclei and 
electrons) of the table of elements as ordinal and cardinal numbers.  The 
chemical elements stand in strict one-to-one correspondence with the natural 
integers.  This relationship gives closure on the relationship between matter 
and the sub-atomic components of matter (but not the sub-sub-atomic components 
of particle physics.)  The perplex number system suffers one form of physical 
closure under this constraint.  Valence opens the closure by material addition 
of atoms to form molecules.  The logic of chemistry consists of propositional 
functions on atomic numbers with valence relations that creates new identities 
from atomic identities, constrained by physical laws.  Thus, CSP’s logical 
doctrine of individuals.
> 
> 2) Is geometry left out of the ways of posing the problem?

Geometry enters into chemical thought secondarily as a consequence of 
arrangements of parts of the whole. The primary root of relations is the 
chemical table of elements and valences and other forms of interaction.
That is, by secondary, I mean that one must have at least a pair of nodes to 
have a distance.
And three nodes for an angle.  The concept of a graph node pre-supposes 
chemical particles.

Note that QM assumes that geometric relations exist among the parts of the 
whole of an atom and assign angles to relations to between orbitals on the 
basis of electrical relations between nuclei and electrons.  Chemists measure 
angles between x-ray diffraction patterns and relate these to angles between 
atoms in crystals.  At the material level of molecules the languages of 
chemistry, physics and mathematics use a common terminology but the meanings of 
the terms vary with the discipline.

The diagrammatic logic of chemistry is COMPOSED from relations among ordinal 
and cardinal numbers as counts of electrons and nuclei.  The diagrams can be 
interpreted by various physical measurements. 

In terms of handedness, note that the left and right hand forms have exactly 
the physical properties with respect to mass, electrical particles, bond 
structures and other physical attributes. The mirror images of the pair of 
optical isomers (handedness) is not predicted by physics laws per se.  The 
specific arrangement discovered by Pastuer requires an arrangement of at least 
5 separate and distinct “radicals” in a pattern such that the mirror images 
differ. (Today, the physical origin of optical rotation of polarized light is 
attributed to the rotation of the electrical field vector of a light ray by 
interaction with the five different “radicals”.) 

In short, the logic of physics and the logic of chemistry start with different 
pre-suppositions with regard to the nature of matter. Different symbolic 
antecedents results in different symbolic consequences. Hence, the different 
meta-languages of the two disciplines.  In “Primary Logic”, M. Malatesta 
(1997), GraceWings,  derives the distinctions in terms of the historical 
development of differences of logical notations. 

Cheers

Jerry
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