[Fis] The new axioms

[Krassimir Markov]

Dear Carlos and colleagues,

Have you asked yourself the "simple question":
"Why are there so many theories in mathematics with corresponding systems
of axioms?"

The reason is not in the great desire of mathematicians to create theories.
It is in the axioms!

The emergence of a system of axioms means that a new object, phenomenon,
mental model, etc. has been discovered on which the new system of axioms is
based.
Naturally, this could lead to the development of a new formal theory.

Perhaps, now you will think that I am going to exemplify the information.
No!
The phenomenon is not the information, but the "reflection".

Fortunately, so far, reflections can be successfully modeled with Category
Theory.
And "information" is a kind of reflection and is a wonderful consequence of
this model.

But this post is not about the information, but about the problems
presented by Carlos and Stu concerning the modeling of living matter and
the prediction of subsequent stages in its evolution.

Here's the bottom line: any system of axioms corresponds to what it was
created for and would hardly "easily" apply to anything else.
Consequently, there is material for thousands of articles pointing out how
one formal system or another CANNOT be applied to modeling living matter.
But writing such articles is pointless.

The meaningful scientific approach is to study living organisms by
specialists in the relevant biological and allied sciences.
If regularities are discovered, we might expect the formation of a new
system of axioms and a corresponding formal theory.

Unfortunately, it seems that at the moment there is no critical amount of
data from which regularities can be extracted, suitable as a basis for
relevant axioms.

Well, if our generation fails in solving this extremely important task, at
least we can hope that the ones after us will have the "insight" to
discover the new axioms.

With respect,
Krassimir
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