Step Seven of *Essay On Order* (formerly: Learn to Count in *Twelve Easy Steps*)
What has happened previously: Step Six: During a reordering, elements change place. In most reorderings, the procedure involves more than one or two elements; these stay resp. exchange places directly. Usually, the mechanics of the reordering creates convoys of 3 and more elements that have to move together. The idea is that of a chain or of goods in transit. This is the Zusammenhang as predicted by Wittgenstein. *Step Seven* *Running Battle* Whichever alphabeta we declare to be relevant – that is, to define what is the case; to be included in the subscripts alfa,beta of sentences - , there is a contrast-background to it, what is not the case. Relative to one specific sequencing of the elements, there will be 19 other sequencings that are in deviation to this specific one, which is relevant in the moment. The concept of an overall quasi-constant of system stability describing the total amount of displacement resp. disallocation may be helpful. In all cases of having selected a sorting order, an overall coefficient of misplacement is calculable. There is a quite stable proportion of what is the case to what is not the case. *Political Solution* The compromise solution between the requirements of alphabeta “On p1, a1 should stay” and of gammadelta “On p1, a2 should stay” (and of their pairs: ”a1’s place is p1” etc.) is accessible to the human brain by its ability to look into the future and predict what will happen. Human culture is based on our ability to learn: that is to have a memory and to have inner pictures predicting what will happen. The cultural inventions of the past and of the future are well established in our thinking. One may then point to a piece of logic and say: this I call Future. There is a cultural solution to dealing with contradicting claims regarding places and amounts: a diplomatic compromise by pushing unresolved issues off into the future. Maybe they will cease to be relevant; the conflict may somehow solve itself, and anyway, maybe that kind of future [where this contradiction will become critical for the stability of the system] will not happen at all, so what worry. *Multitude of Arrival Times* The Table as it stands (in 4.num) is a frozen moment in time. The spectator moves as he chooses any alphabeta and says: this is now relevant; it is relative to this that I calculate the deviations; this is the case now. Using the chains we can say in how many steps of how many strings the reordering into gammadelta will be achieved. The chains having differing lengths, one has to ascribe the elements that already have arrived at their correct destination a quietistic attitude, staying put; or assume that the shorter chains run slower, maybe more often; or one waits for the smallest common product, e.g.. *Standardising* During the transmission of the genetic information, Nature works by using triplets-based units. It is the sequence of the triplets that translates a one-dimensional realization of the order (the sequence of the triplets of the DNA) into a 3 and more dimensional object (that is the living organism). Table T contains variants of reorderings where the series of place changes happen in three elements changing place (see 7.num). The standard chain connects 3 amounts with 3 places within a standard reorder; the standard reorder consists of 45 standard chains, the remaining logical statement is *6+11=17, *this being the, unique, central element, also the average of every standard chain. *Grammatical Rules* We expand the scope of the investigations of the Tractatus by allowing sentences of the form “*Z* can be the case” and “*Y* will be the case” to be valid. We propose to call that place of a standard chain which is closest to the central element its x-corner, the second closest to be called the y-corner and the farthest the z-corner of a triangle drawn on a plane of which the axes are S_alfabeta and S_gammadelta, the prefix S_ meaning that the orders come from among the standard reorders. In other words: we allow for the past and the future to be in such a way connected with the present within the moment as are the places among the elements of a standard chain connected. We know what can be the case because we have encountered it before – or have imagined it up by using rules that have been proven to be valid rules of grammar, that is, relying on experience. Of that what can be the case we do not know whether it will be the case again; presently, we know it to be different to that what will be the case. Common to the past and the future is that they are not the case; they are distinct by our ability to describe the difference between what we are sure about and what we know. The grammar of the logical language thus allows compromises among statements relating to where is what. Against the gain of flexibility stand some local costs within the tautology of the language: roughly two thirds of Sachverhalte are in any moment not the case in the strict sense, and yet we can still talk about them, because the missing thirds had been the case just an instant ago, therefore evidently can be the case and will be the case in an instant again, respectively. *Minkowski* The numbers in the Table support Minkowski’s model (pls. see 7.graph). If one thinks the time slice to be one Sachverhalt thick, one will use that corner of the triplet that is presently the case. Maybe it is practical to think the Minkowski-moment to be 1 standard Zusammenhang, that is 3 standard Sachverhalte, thick. Chains longer than 3 steps cross the plane of “now”. The predictability of that what will come, and where it will come can be read off the properties of the chains that co-exist with the standard chains. *Islands of Stability* Biology can only exist within niches of parameters’ restrictions. For the information transfer in genetics to function, the environment has to be extremely well regulated and ordered. The discussion here concentrates on the unlikely cases, where reorders from-into-and-from again between the linear and the spatial descriptions of one and the same fact can take place. The combinatorics behind the biochemical processes of pointing out a complicated spatial arrangement by a linear sequence and later pointing back into one-dimensional description works with a degree of exactitude that allows for the to-and-fro to function in actual life; this combinatorics can only work under very detailed rules, under very specific circumstances. We have to look for the ideal case, where everything functions best – however improbable such a scenario may appear - and see how the tautology is maintained between a linear sequence and a spatial arrangement.
_______________________________________________ fis mailing list fis@listas.unizar.es https://webmail.unizar.es/cgi-bin/mailman/listinfo/fis
