Bogusław Wolniewicz created an original formal system based on his considerations on the ontology and semantics embedded in Wittgenstein’s Tractatus. His system – called by Wolniewicz ‘ontology of situations’ – can be complemented by a philosophical interpretation. In this article I identify the implicit and intuitive underpinnings of the system, its formal content and its philosophical implications. I also indicate a few applications of the system to axiology and logical hermeneutics.
The chuch dedicated to The Holy Spirit, erected in Wrocław, in housing estate Huby, was created during the communist period, hence it was very difficult to design it, and to build. But it was also the period close to the collapse of this regime, so communist leaders were pressed to be more tolerant towards human rights than before, including the religious freedom and towards building new churches. The author of the church mentioned – a very active political oppositionist – when designing the strongly innovative church building, was simultaneously forced by fate to fight formal difficulties caused by oppressive rulers. Author makes the reader closer to those complicated double troubles: artistic, parallel to the political. Finally, the church building was happily completed, then became widely popular and accepted.
A new method for computation of positive realizations of given transfer matrices of fractional linear continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are given. A procedure for computation of the positive realizations is proposed and illustrated by examples.
A new class of positive fractional 2D hybrid linear systems is introduced. The solution of the hybrid system is derived. The classical Cayley-Hamilton theorem is extended for fractional 2D hybrid systems. Necessary and sufficient conditions for the positivity are established.
A new notion of a realization of transfer matrix of (P;Q; V)-cone-system for discrete-time linear systems is proposed. Necessary and sufficient conditions for the existence of the realizations are established. A procedure is proposed for computation of a realization of a given proper transfer matrix T(z) of (P;Q; V)-cone-system. It is shown that there exists a realization of T(z) of (P;Q; V)-cone-system if and only if there exists a positive realization of T(z) = V T(z)Q!1, where V;Q and P are non-singular matrices generating the cones V;Q and P respectively.
The presented article points to the issues of self-consciousness and the possibilities of its development. It defines in this context also concepts of self-evaluation, self-respect, self-appreciation, self-recognition, self-confidence and self-realization. In the text, it is emphasized that self-consciousness is related to the awareness of one´s own psychophysical and social identity - I myself and the world and my place in it. An important means for the development of the healthy self-consciousness is also praise. In the conclusion of the article, attention is paid to the psycho-hygiene as prevention of the failure.
The positive (minimal) realization problem for a class of singular discrete-time linear single-input, single-output systems with delays in state and delays in control is addressed. Solvability conditions for the positive (minimal) realization problem are established. It is shown that there exists a positive (minimal) realization of an improper transfer function T(z) = n(z) / d(z) if the coefficients of polynomial n(z) are non-negative and of the polynomial d(z) are non-positive except the leading one, which should be positive. A procedure for computation of the positive (minimal) realization of the transfer function is proposed and illustrated by an example.