(To the List: I am re-posting my message to Karl because the original
message was not distributed in it's totality; the arguments were
truncated. Cheers Jerry )
Karl:
I fear that I must once again disagree with your strong conclusions
about the relations between mathematics and genetics. I would urge
you to attempt to find exact correspondence relations between
empirical evidence and your views of models based on numbers.
See my comments below.
Subject: [Fis] genetics: the most outstanding problem, SOLVED
Dear Stan,
In your last posting, you said:
SS: Of course, the origin of the genetic system is arguably the
most
outstanding problem facing natural science. It seems that, other
than the
(to me) unconvincing RNA World idea, there is no compelling model of it.
The model that the RNA (together with the DNA) is a sequence and that
the
genetic mechanism copies the information from a sequence (the dna/
rna) into
a nonsequenced assembly (the living organism) and from there (by
means of
the ovaries and the testes) back into a sequence is a quite compelling
model.
The term "information" has been shown in this chatroom to mean the
cuts that
segregate, separate and distinguish summands;
The term "sequence" has been defined by Peano;
The term "nonsequenced /=commutative/assembly" is indeed hairy, as there
exists no definition for multidimensional partitions, although this
is what
it means;
The term "copies" means a filter restriction on a set of entries into a
database (a restricted, in optimal case, bijective map between two
enumerations).
I certainly will not support this view of the relationships among
numbers, genetics and information.
I find your post to be outside the scope of the standard theories of
biochemistry and genetics.
Chemical information is grounded in the list of chemical elements and
the relations among them.
The terms "DNA" and "RNA" etc, are chemical names of specific
relationally rich bio-molecules.
The information content of chemical molecules must be expressed in
terms of atomic numbers and relations among the electrical particles
(graphs).
Biological information emerges as flows of changes of chemical
relations - metabolic dynamics.
In general, chemical structures / information does support transitive
relations among the atomic numbers organized into graphs.
Thus, if one wishes to develop a compelling argument about chemical
numbers and structures and genetic information, one should start
with relational algebras that keep track of changes of relations.
Bijective maps are not a suitable basis for describing change of
chemical relations and hence the flow on biological information.
Finally, if one wishes to describe a mathematics of biological
information, the suitable starting point is the fact that a single
position in a DNA sequence can control the fate of the entire
organism. A living system is a society of associative relations
among atomic numbers.
Cheers
Jerry
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Received on Sat Nov 11 17:21:48 2006
