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Metaphysical cognition in hermeneutic interpretation: remarks on Grzegorz Sztabiński’s The Writing of Nature – Transcendence III

100%

Solewski R.

2016

nr 4(43)

123-142

The article contains a hermeneutic interpretation of the art of Grzegorz Sztabiński, a contemporary Polish artist creating drawings, paintings and installations. It starts with definitions of transcendence, hermeneutic interpretation, metaphysical cognition, and artistic installation. The main section is comprised of descriptions and interpretations of the artist’s works, created throughout his career, including his own comments and those of his critics, especially in relation to the cycle Pismo natury – Transcendencja [The Writing of Nature: Transcendence]. The text explains how the artist finds the signs of writing to be traces of transcendence concealed in nature and how the relationship between the artwork and the place is used to build the new contexts of each exposure (serving always to discover the transcendence). Finally, the game of models of distinguishing the object of metaphysical cognition is described and in conclusion the metaphysical cognition discovered in the hermeneutic interpretation of an artwork is found as a way of being in the world proposed by art.

The Clifford semiring congruences on an additive regular semiring

100%

Bhuniya A.

nr 2

143-153

A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup. Also we give an explicit description for the least (generalized)Clifford congruence on such semirings.

Infinite Traces and Symbolic Dynamics - the Minimal Shift Case

100%

Foryś W. , Oprocha P.

tom Vol. 111, nr 2

147-161

We study interrelations between symbolic descriptions of concurrently evolving systems and underlying sequential dynamics. The basic framework for this research is formulated on the background of the theory of traces. We focus our interests on minimal shifts and t-shifts generated by them, that is shifts defined in the space of infinite real traces. We show that sets of infinite real traces generated by minimal shifts are always closed and, under some conditions, are also tshifts. Additional discussion for the case of small alphabets (containing at most four letters) is also provided.

Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces

86%

Dragomir S. S.

nr 1

39-62

Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex functions of interest and reverses of Hölder and Schwarz trace inequalities are also given.