Dear Karl,
your words are so intriguing, that I will shamelessy quote them (and you, of
course!), in my next papers. I like very much your concept of sequential as
well as commutative symbols in a biological context.
Concerning your very interesting issue of the possible working principle that
elucidates the interaction between sequences and mixtures, I have a (shameless,
of course!) idea of mine: http://vixra.org/abs/1801.0117
Again, thanks a lot for your very nice comment.
And hallo to Pedro, who, it seems absourd, has to leave. With his enthusiasm,
he is surely younger that the most of my patients! ...and I an a
pediatrician...
> Il 2 febbraio 2018 alle 13.08 Karl Javorszky ha
> scritto:
>
> Dear Arturo,
>
>
>
> thank you for your forceful presentation of contemporary thoughts on
> theoretical biology, specifically the problem of what the term “genetic
> identity” in actual fact means.
>
>
>
> Your handyman offers you tools which support that what you say. You say:
> “ … Here we ask: what does “matching description” mean? Has it something to
> do with “identity”? Going through different formulations of the principle of
> identity, we describe diverse possible meanings of the term “matching
> description”. …”
>
> A very simple solution is to enumerate each and all of the variants of
> whatever can have a description. Then we switch to a different describing
> system and again describe all variants of whatever can have a description.
> This is like making an inventory of the contents of one’s office: once with
> regard to the things’ colour, once to their size. To each description we
> attach a natural number. The inventory number of the red coffee cup on the
> table will be probably different in the inventory list based on things’
> colour, to the inventory number of the same cup in the inventory list
> according to size. The next step is to look for rules that allow matching the
> two inventory numbers. Then we have “matching descriptions”.
>
> In genetics, the combinatorial problem becomes quite evident. We
> enumerate along time and we enumerate across time, too. We count the
> sequential place of the elements of the DNA, and match this sequence to the
> contemporary composition that is the living organism. Life happens in the
> moment, across the temporal line, while the rules of assemblage and
> maintenance are registered in a sequential form, along the temporal line.
>
> We overcome the difficulty by employing as symbols for a general method
> of enumeration the sequential number of the element within its cycle during
> reorders. These symbols are as well sequential as well commutative. Symbols
> that are both commutative and sequential are the basis for counting
> consistently.
>
> The picture becomes rather entertaining, as one finds that Nature uses a
> clever little accounting trick. If one deals with a dozen or so cycles of
> about 6 elements each, one can switch between how many, when, where and what
> almost at one’s wishes. The working principle of the numeric connector
> between enumerating across and along a sequence is explained
> inhttp://www.oeis.org/A242615 . As said before, if we look at 66 elements all
> at the same time (in a commutative fashion), what remains to be predicted, is
> where specific combinations of symbols are to be expected. If we see 11
> sequenced groups of 6 elements each, we can predict when, where and what will
> be existing (contemporary).
>
> The interaction between sequences and mixtures is a real, disruptive
> game-changer. One has to re-learn all the basics of arithmetic. The positive
> side is, that after having understood which basic rounding errors one has
> learnt at elementary school, unlearning these and instead learning to use a
> stricter concept of consistently counting, during this process of
> self-education one will have found the answers to the questions you so
> eloquently present.
>
> PS.:
>
> 1) J Theor Biol 2000 Aug 21; 205(4):663-6 Interaction between sequences
> and mixtures
>
> 2) The lecture series: Learn to Count in Twelve Easy Steps was given in
> FIS in 2013
>
>
>
>
>
> 2018-02-01 17:54 GMT+01:00 mailto:tozziart...@libero.it >:
>
> > >
> > Dear Karl and Pedro,
> >
> > A unifying principle underlies the organization of physical and
> > biological systems. It relates to a well-known topological theorem which
> > succinctly states that an activity on a planar circumference projects to
> > two activities with “matching description” into a sphere. Here we ask: what
> > does “matching description” mean? Has it something to do with “identity”?
> > Going through different formulations of the principle of identity, we
> > describe diverse possible meanings of the term “matching description”. We
> > demonstrate that the concepts of “sameness”, “equality”
