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Presents one possible synthesis of the artificial neural network using linking algebra. The mathematical model given is the basis for such a neural network organization. The problem which appears is a mode of realization of the artificial neuron. Starting with the experience gained by many experiments, the model of a neuron that can be realized in the memory of computer is presented.

The formal relation between two phenomena that have no interaction is given as a fundamental problem. Linking Space and Linking Algebra are used for derivation of this relation between two phenomena. The practical application of this formalism for linking the eyes’ yellow spots and observed contact spots on a phenomenon’s surface is given. This linking gives only one solution. A short comment and some conclusions are given.

In the introductory part of this paper the problems which represent the obstacles in the communication and knowledge transfer are discussed and the complexity of the comprehension of nature, described by the existing speaking and mathematical languages, is outlined. The means of natural phenomena investigations are given. After the task is described, a procedure for making an analysis of existing procedures of human comprehension, which includes the means of investigations, is given. On the basis of this analysis the task should be successfully solved. A practical comparison of the existing mathematical language is given with a solution of two examples. Conclusions are given in the form of a list of scientific contributions.

In this communication the interpretation of cybernetics in relation to Wiener's definition is discussed. Two problems are considered: the first is connected with the structure, and the second concerns its autonomous choice of the goal.