Abstract: We established by function analytical methods that maximally structured assemblies number differently many logical constellations in dependence of the human’s interpretation of the symbols structuring the objects. If the human spectator reads into a multitude of symbols on objects the interpretation that the objects are to be read sequentially, he arrives at a different result relative to the result he arrives at if he supposes that the objects are not sequential but commutative. The intrinsic meaning of the dichotomy commutative – sequential is of such basic importance in Nature that in fact the human perception uses this linkage while it structures and interprets the impulses rendered by the sensory organs. The new approach discounts and actively counterbalances the neurological preferences of the brain and creates a logical-numerical model which accommodates the less pleasing aspects of logical objects, too. We created a logical tool which demonstrates the inner interdependence between quality and place. We discuss a basic logical problem, namely, the space-matter interdependence. The same logical operation is at work behind different views of the same problem: “where is what?” The matter-space interdependence offers conceptual solutions to questions in a wide range of applied sciences. For genetics, it may be helpful by showing that the natural unit of translocation is a triplet of arguments. We expand the discussion of the logical sentence a+b=c, the usual foreground, by the expression u=b-a, k=u-b, t=u+k=2b-3a, q=a-2b, s=17-c, w=2a-3b, the background, for the first 136 additions (a1..16, b1..16). We use the arguments kutqsw as freely as abc to sort on. We compare the changes in relative positions of each instance of a+b=c within the collection of additions. The place changes resulting from a resort are a realisation of the change in the relative importance of the arguments, which is denoted by the position of the argument within the sequence of arguments. Using the logical parameters abckutqsw as a sequence and permutating the arguments, one observes that not only the position, but also the number of .t. values changes in the implicated table of identities of sorting orders. The findings allow a logical approach to the terms “structure”, “time”, “translation table linear sequence – spatial structure”. The positions of logical markers are indeed dependent on the sequence of logical arguments.
Keywords Genetic information, Logic, Information Theory, Theoretical Physics, Theoretical Chemistry
LOGICAL STRUCTURE OF CHROMOSOMES