-------- Original Message -------- Subject: [Fis] Step Ten of Twelve Easy Steps Date: Tue, 29 Jan 2013 13:54:14 +0530 From: Karl Javorszky <karl.javors...@gmail.com> Reply-To: karl.javors...@gmail.com To: Pedro C. Marijuan <pcmarijuan.i...@aragon.es> CC: fis <fis@listas.unizar.es>
Step Ten of Essay on Order (formerly: Learn to Count in Twelve Easy Steps) What has happened previously (pls. see http://32o2m99e.utawebhost.at) Step Nine: The normal, everyday space of reality, here called Newton space, is, in the accountant’s view, fused from two Euclid spaces; in our mind: seamlessly and ideally; according to the numbers: full of conflicts relating to what is where and when. The position of a point in space has 4 varieties per plane, which are fixed into 1-dim places by twice three elements. The splitting-and-fusing of half-identities are modeled by logical statements that are relevant in the a-, resp. b-space, resp. both spaces. Step Ten QED The task of explaining how genetics functions breaks down into showing, by which means Nature expresses the idea of an organism concurrently as a 3-dim and as a 1-dim logical sentence. The existence of a map between properties of a point in a 3-dim understanding and this point’s position - in an order attribute of the form one-of-four - that is described by twice three 1-dim statements, has been shown. The points are distinguishable from each other and yield differing triplets as their respective 1-dim translations. We show now that the linear position of an element in a 1-dim sequence of arguments alters the position of points in a 3-dim space; this by pointing to Table V_SQ. (Please see 10.num.1) This Table is structurally identical to Table V, and contains, like V, the results of the comparison if( SQalfabeta=SQgammadelta,.t.,.f.). The difference between Table V and Table V_SQ is that we have generated the additions in the sequence of aspects first as {a,b,c,k,u,t,q,s,w}, and then as {a,b,c,k,u,t,s,q,w}. The permutation of the aspects has influenced the number of .t. values in the course of the comparison of every sorting order with every (other) sorting order. For practical reasons, we only publish those pairs of reorderings that are differing in the result {.t.|.f.} as the consequence of the change in the permutation {..q,s,w},{..s,q,w}. These few cases are sufficient to prove that as the consequence of a change in a linear permutation of logical arguments is equivalent to changes in 3-dim properties result. Cause and Effect The cultural agreement is that life begins as the two half-identities fuse, and not as the genetic material gets created in the ovaries resp. testes. We thus give precedence to reading over writing, translating 1-dim into 3-dim over translating 3-dim into 1-dim. To keep in line with cultural conventions, we call the 1-dim way of stating one and the same Zusammenhang the Cause, and call the "resulting" 3-dim entity the Effect. Viewed such, a permutation of the first level linear arguments "causes" some properties of the points in 3-dim to change. The change happens by mediation (mitigation) of the translation table V, which is used to compare the identity of two orders. That a change in the sequence of the first order arguments {a,...,w} results in differing properties of a point (a1|p1,p2,p3) is evident. How this is effected depends on the sequence of comparisons done while building Table V. We may thus call Table V the language connecting cause and effect. The same cause resulting in the same effect can be transmitted in many ways. The ways of putting the link: between 1-dim sequence changes and changes in properties of 3-dim points, are different among each other like human languages are different among each other. Upper Limits Each line in Table 4 is as well a statement about amounts and concurrently as well a statement about places and distances. The human brain distinguishes between what and where; in the Table (4.num) we see that one line fuses the amounts of the addition and its places under differing ordering aspects. We now investigate, how many differing places exist and how many differing properties for amounts can exist. While the number of places that can be assigned to n objects is well known – namely n! -, we had to count the number of more-dimensional assignments of symbols to objects. We arrive at n?=p(n)**ln(p(n)), where p(n) denotes the number of partitions of n. Charting n? against n! we see a very interesting interdependence. (Pls. see 10.g.1). We see that there cannot exist an “ideal” organism, as the temporal sequence of evaluating symbols leaves always open that the comparison we make now is redundant, having been made previously. Creative Accounting As we learn the world, we feel by the skin’s neurons what is really there. (Pls. watch little children as they put everything in their mouth to get a hold on its properties.) Impressions coming to the brain by means of tactile sensations have a differing sense of reality compared to impressions that we hear, see or imagine. We are used to distinguish between objects and logical relations. It appears that this distinction has no foundation in logic. As we see in 10.g.1, logical relations and the objects on which they are perceived are both only abstractions. We turn combinatorics on its head by reversing the direction of concluding. So far, the question used to be: “how many logical relations are possible given n objects and a set of rules R”. Now we ask: “what proportion of an object is necessary to carry 1 logical relation?” Building f-1 (-1: superscript) of n? and n! we see that there is a small fraction of difference on the number of objects that are included in such many logical relations. This is the trick Nature uses to create matter, relations and spatial positions. In the last 2 Steps we shall look into the mechanics of the interplay between places, amounts and order. -- _______________________________________________ fis mailing list fis@listas.unizar.es https://webmail.unizar.es/cgi-bin/mailman/listinfo/fis
