-------- Original Message -------- Subject: spam filter? Date: Tue, 15 Jan 2013 15:50:50 +0100 From: Karl Javorszky <[email protected]> Reply-To: [email protected] To: Pedro C. Marijuan <[email protected]> CC: Joseph Brenner <[email protected]>, Gordana Dodig-Crnkovic <[email protected]>, Ted Goranson <[email protected]>, Jerry LR Chandler <[email protected]>
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ Step Eight of *Essay On Order* (formerly: Learn to Count in *Twelve Easy Steps*) What has happened previously (pls. see http://32o2m99e.utawebhost.at): Step Seven: Nature uses a triplet-based unit during transmission of the genetic information. Among the reorders, from one kind of order into a differing kind of order, we find some that involve 3 units to change place. Using these translocations as units of reordering allows connecting past, present, future; the model supports the Minkowski concept of space being a slice of time. *Step Eight* /Units of Contradiction/ The 1-dimensional sentence states “under order alphabeta, addition a1 is on place p1”. There is no discussing this elemental fact, Sachverhalt. The 2-dimensional sentences state: “under order alphabeta, addition a1 is on place p1” and “under order gammadelta, addition a1 is on place p2”. The contradiction can be made visible on the orders, the amounts and the places; the number of such contradictions is a meta-argument. To reach a compromise, we merge the statements into: “A plane with rectangular axes alphabeta, gammadelta exists; on this plane, addition a1 has the coordinates x=p1, y=p2”. The re-translation of the 2-dim statement into 1-dim involves 2 assertions. The hypothesis about the existence of a plane is supported by two one-dimensional sentences; the strictness of the implication can be understood as a measure of probability that a plane exists, on which a1 has the coordinates (p1,p2). One can calculate the “costs” of the existence of a plane by e.g. using the metric (a1|p2-p1) while evaluating alternatives of placing the same amount on different places. The indecision about whether the plane exists, and how it is called, on which (a1|x,y) is the case, is a metric about the remaining contradiction about what is and what is not the case. The triangular translocation of the unit movement allows using it as a unit of logical fulfillment. Knowing that (a1,p1,p2) is the case delineates classes of possibilities of what can, will, may or may not, will not be or are not the case. /Assembling planes/ We construct a Descartes type space by using CA, KA, QK sorting orders as its common axes. (Please see 8.g.3.) We can interpret the 1-dimensional places of addition a1, in CA p1, in KA p2, in QK p3 as z, x, y coordinates of a point in a 3-dim Euclid (Descartes) space. There is a second 3-dim space to be assembled of the standard reorders. This is the b-oriented space and its axes are CB_KQ, KQ_QA, QA_CB. The central element has the coordinates 70,70,70 in the a-space and 67,67,67 in the b-space. The re-translation of a static 3-dim property (x=p1, y=p2, z=p3) into 1-dim statements needs 6 statements, of which two versions are identical, these referring to the point’s position in the a- resp. b-space. Please note that two planes are also of standard characteristics. The central element is on place 63 in these. /Amount-, place- and order-oriented statements/ The implications of “under order alphabeta, amount a1 is on place p1” can be read off as “if alphabeta then (a1,p1)”, “if (a1,p1) then alphabeta”, “if a1 then (alphabeta, p1)”, “if p1 then (alphabeta, a1)”. The strictness of the implications is evidently different. The human brain is used to think in the direction principle -> realization, so we are inclined to use idea of order as a praemisse and deduct where something belongs to as a conclusio. The relation of the numbers shows no such prejudice. We can deduct the existence of an of the order from the Sachverhalt that (a1,p1), but we cannot be sure of the kind of order of which (a1,p1) is a part of the realization. It appears that expressions of the type (order,amount,place) can be built and calculated for each combination of the arguments. The axes of the logical-accounting Euclid space are Order, Amount and Place, and the cells of the matrix contain numerical values that can be added up into a Grand Total over all reorderings, additions and places. The inexactitude vs. strictness of the implication of {alphabeta|a1|p1} being the case varies greatly. /Mastering Time/ We have seen that it is possible to assign to each of the additions a place in a space in a static way. Each of the additions can be given a planar position by any two orders, and a spatial position by means of its standard aspects. The translation from the 3-dim realization into 2- and 1-dim sequences involves twice three markers. We have points with differing properties on distinguishable places in a space – there twice -, in planes and sequences. The Wittgenstein tautology in the Minkowski space-time confluence exists. The mechanism is functional but dead. To find the mechanism used by Nature in the copying to-and-fro between one and three dimensional ways of putting where is what if a complete order exists, we have to expand the tautology without leaving it. If all the standard movements are carried out, the tautology is complete and the result is trivial. We can make use of the roughly two thirds of statements that are “presently” not the case, so freeing up some logico-accounting wiggling room in which to see how to maneuver between what can be the case and what will be the case. We use the standard chains to connect the points being the case on the planes. Heretofore, we used a1 to guess, which of the pi is that p1 which is the most congruent with order o1 being the case. Now we use ai to guess, which order is that order o1 which is the most congruent with place p1 being the case. The chains connect orders, and the standard chains create spaces and give locations – coordinates – in the spaces. Inasmuch as only the treadmill of standard retranslations takes place, this space is devoid of anything but the central elements and their respective positions. The elements are consumed by their relentless reorderings between x,y,z axes of space and have no amounts nor distances to make mischief with. This is the state of the world, if everything that is the case can be and will be the case. Biology teaches us to look into the complications, where two versions of what can be the case exist and only in cooperation between the two versions happens that what will be the case. In the next step we shall fuse the two Euclid spaces into one. -------------------------------------------------- _______________________________________________ fis mailing list [email protected] https://webmail.unizar.es/cgi-bin/mailman/listinfo/fis
