Dear Jerry and FIS colleagues,

Thank you for the emotionally coloured clarification of the subject of our 
debate. In effect you say, if I understand you correctly: “Hey Karl, what’s up? 
Do you labour on indigestion or did you not understand the facts? If you have 
an opinion behind stating that what I said is false, so speak up and give good 
reasons.

The facts are /I still try to re-express you so we get to the core problem/:

Atomic numbers were created by the chemists for logical descriptions of 
empirical material observations of networks of relations, both biological and 
non-biological relations. Our understanding of these numbers lead directly to 
our understanding of DNA as the genetic material and as a source of genesis of 
life itself.
…
Firstly, I view all chemical processes as electrical flows. … Have you not 
heard of batteries?

Secondly, the language of chemistry was developed by the chemical community to 
express empirical observations. … you should show … that the the information of 
DNA can be calculated using Shannon information, or, … can calculate the number 
of isomers of organic molecules or that biological species are distinguishable 
in such language.

In other words, the absence of correspondence between arithmetic operations of 
mathematics and the operations of valence and covalent bond re-arrangements are 
well known. Or, have you solved these problems, Karl?

With regard to the third issue raised by Karl, you ignored the word, 
"typically". Please read more carefully.

With regard to the fourth issue, Karl, please give us your methods of 
calculating the information content of DNA as a molecule participating in the 
genesis of a biomolecular network.
Give us your reasoning…!”

So far my understanding of what you have said. Now I shall answer.
Answer starts here:
To your point :
(1)Atomic numbers were created by the chemists for logical descriptions of 
empirical material observations of networks of relations, both biological and 
non-biological relations. Our understanding of these numbers lead directly to 
our understanding of DNA as the genetic material and as a source of genesis of 
life itself.

Perfectly in agreement. In epistemology, chemical elements are logical 
constants. As logical constants, they obey some – highly complicated – 
combinatorial rules. (If elements a and b are concurrently present, molecule c 
will develop + x corollaries more.)
The chemical elements are logical building blocks. Here, I introduce a 
philosophical half-breed, some few steps back from the Kantian object as such. 
That idea of an object as such is generated by peeling off the particularities 
until the generality itself remains.  While abstracting from Grandma’s blue 
easy-chair, one would go while un-clothing the particularity of this object 
along following steps: something of anyone’s, a long as it is such a blue 
easy-chair as Grandma’s; something of anyone if it is a blue easy-chair, …, an 
easy-chair, …, a chair, …, anything to sit on, …, anything at all.
The iso-propyl-3,4-etc-12butane something is, after all, a 
particularities-ridden Kantian object as such. Peeling the specificities off, 
one arrives at the intermediate idea: many building blocks plus glue plus 
structure plus rules (maybe: plus symbols). Of these, the many building blocks 
are the pure elements. The glue plus structure plus rules are what Jerry talks 
about saying this is not the same mathematics as the math behind the building 
blocks. And here is where I say yes it is the same mathematics but a bit more 
complicated. Or not complicated but unusual, maybe giving one the feeling of 
visceral nervousness.

To your point 
(2) Firstly, I view all chemical processes as electrical flows. … Have you not 
heard of batteries?
We have discussed originally whether life was an interplay between electrical 
and chemical representations of the same-identical state, but if you restrict 
your assertion to that chemical processes are by and large electrical flows, I 
am quite ready to discuss that point too.

The example of batteries shows that a state and a process are interlinked. If 
the battery is in its physiological melee in state A it may discharge 
electrical tension according to measurements set Q. If the battery is in state 
B it may discharge electrical tension according to measurement set W. 

Exactly what I say. The feed-back interplay between a momentary state (the 
state A is contemporal, now) and a sequential process (the discharge will 
happen along time. It would pervert the idea of a battery if it exploded in the 
course of a discharge.) is what we talk about. But one needs the yang to the 
yin. One cannot say that the process is exactly that what we discuss. We 
discuss the interplay between that on what the process takes place and the 
process. 

Let us complicate the battery example into a picture of ecology: we discuss the 
weather over a continent. Jerry states that the weather is the pattern of 
clouds, donner, blitz, rain, snow. I say that it also the swamp, forest, ocean, 
river on the Earth, too. Close the loop, Jerry. The material is the battery, 
the swamp, the process is the electrical flow, the rain. They influence each 
other. One is the logical consequence of the other. 

Therefore, I would say: the sentence “chemical processes are basically 
electrical flows” is not true (.f. not grammatically, but does not fit into the 
pattern of explanational statements). The right way of putting this would be 
imho “chemical processes are the interplay of constraints on possible states 
where one set of constraints are electrical flows which interact with the other 
set of constraints which detail densities on possible places.”

To your point 
(3) Secondly, the language of chemistry was developed by the chemical community 
to express empirical observations. … you should show … that the the information 
of DNA can be calculated using Shannon information, or, … can calculate the 
number of isomers of organic molecules or that biological species are 
distinguishable in such language.

The language of predictably sure densities was developed by the social research 
community to answer to needs of  politicians and businessmen. We shall put a 
supermarket (road, school, fire station, etc.) there only if there will be at 
least x units with probability of occurrence 1.0. The units you count in and 
the units an infrastructure-planning statistician (sociologist) counts in are 
the same. You know that you are certain about the occurrency of some specific 
types of units and that they mix among each other causing much trouble and 
havoc.  If the cross-selling among visitors to a Multiplex and a bowling hall 
and a parking lot does not function, you get confronted with manifold actual 
consequences of the empirical observations (as opposed to predictions). We use 
the same methods as you. What is for you an element, for me is a certainity. 
What for you chemical valences, for me types of interaction. 

The information in the DNA is well understood. If there are n units in a 
sequence there can be up to n! different sequences. This is pure and simple 
Shannon. 
That what Shannon has not looked into is the transmission of information by 
means of non-sequenced media.  He quite wisely did not do so, because up to 32 
you can transmit more information by sequentially arranging them. He could not 
have dreamt that there is this freakish number theoretical anomaly which makes 
biology (and, generally, it appears, everything) work. Even now it is hard to 
recognise that we can of course transmit messages by the overlap structure of 
symbols. There are for demonstration purposes childrens’s toys made (like 
Sudoku it can be understood.)

In the FIS salon, openness of mind is encouraged. So maybe we can work on the 
combinatorics of overlap structures. Take k*10 pieces of paper and draw some 
symbols on each of the units in a group of 10. If you made the symbols 
randomly, chances are high that among the k messages not two will be the same, 
structure-wise. 

Now we discuss which types of structures will appear certainly (and these are 
the elements) and which types of structures will appear probably and so on. 
This leads one – after lots of combinatorics and huge tables – to predicting 
the properties of a complicated structure made up of certainities with 
properties combined. Yes, the job can be done. Your requirement is: “calculate 
the number of isomers of organic molecules or that biological species are 
distinguishable in such language” 
and exactly this is what the project delivers.

To your point (4)
In other words, the absence of correspondence between arithmetic operations of 
mathematics and the operations of valence and covalent bond re-arrangements are 
well known. Or, have you solved these problems, Karl?

Allow me to repeat that this is the reason why I happen to be in this room: to 
keep insisting that indeed I have solved these problems. Yes, I actually mean 
that I do have something new to say. 
 

To your point (5) 
With regard to the third issue raised by Karl, you ignored the word, 
"typically". Please read more carefully.

Let me repeat that our disagreement was on:
The language of bionetworks, the language of individuals and species, is remote 
from the typical language of philosophy and logic
which I regret to keep evaluating as a statement which is not true. If we could 
not express our thoughts about bionetworks then it would be far from what we 
can understand. Wittgenstein has shown that the grammar must allow for the 
sentence to make sense. Then, if bionetworks are subject to rational thought, 
they must be expressable by logical sentences. Maybe the difference between us 
is that I do believe that bionetworks are rational, understandable, 
explainable, reproducible, in one word, within the domain of rational 
relations. In your philosophy, there appears to be a segment of reasonable 
concepts, and then, unconnected, all those strange things that happen in 
bionetworks. Here, our opinions do differ. 

To your point (6)
With regard to the fourth issue, Karl, please give us your methods of 
calculating the information content of DNA as a molecule participating in the 
genesis of a biomolecular network.

The triplet in question we encounter in the numeric table of partitions into 
four (distinct) summands. There, it can be interpreted as the increase in the 
jump of the difference of the present state with regard to the next state. The 
walk happens along the number-of-objects dimension. The sequence constrains 
growth (mass, something that can be counted on N). The kind of the added object 
can be read off the kinds of sub-segments on N where this specific extent of 
increase is likely to such a degree (degree of prob of an attribute to be 
present: type of object). Then, we get into Lego. 

The exchange between you and me allows focusing on what we find hard to 
communicate. I keep saying that there is an outlandish freak of two 
combinatorial functions cutting each other twice and this appears to be the 
answer to everything and all. Among other practical uses, it allows creating 
mathematical objects with a-priori properties (just like your chemical 
elements) out of thin air logically. The original density of the logical space 
has been found in pure additions. Using the freakish number theoretical 
interrelation one can show that the average addition is not quite exact, but it 
is inexact to the tune of some 0,000 … 0003 %, where … stands for some 57 more 
Zeroes. This inexactitude is what explains – or at least does not exclude the 
explanation of – as good as every phaenomenon mathematicians have said 
heretofore “well, this is outside math, this is physics or chemistry or 
biology”.  Information is what we disregard as we conduct an addition. As we 
say 2+2=4, we thr!
 ow away the distinction between 2 and 2 vs. 4 on one hand, and between 1+3 and 
2+2 (which also could have been) on the other hand. In a closed logical system 
one cannot throw or wish away slight differences of matter /space/ and 
continuity and diversity. They come back and haunt you as chemical valences or 
isomers’ puzzling properties or black holes or magnetism. We oversimplify for 
the children with additions and no one at University gets around to sitting 
down with the kids and say “well, you remember we said that 2+2 is exactly 4. 
Now, on closer look, maybe we do find some hairs to split.”

 

Hope that this contribution is not too long. Thanks again for insisting on 
clarification. 

Karl



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