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VERIFICATION Lack of tools.  (...) but art is a difficult muse to apprehend.  Do not be surprised that we start to work with sets.  This may seem as a kindergarten problem, but always mathematical...

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The proposed analytical method of verification of decentrist work was created to elucidate a question about the status of the hidden dominant.  Some of the decentrist writings were not clear about relationships between the hidden dominant and the depicted background.  The hidden dominant was supposed to have some relationships of its own, however this raises a question.  Does the hidden dominant possess its own relationships without intellectual engagement of an observer or the author?  The use of Venn diagrams and notation borrowed from computer science allows for a clearer assessment of relationships between the artist (author) and the work, as well as between the observer and the piece of artwork.

We invite you to reflection and commentary about the status of existance of the hidden dominant.

Following questions suggest themselves:

- Does the hidden dominant exist only in the minds of the artist and the observer?
- Does it exist outside of the minds?
- Can the hidden dominant enter into relationships without the minds of the observers?

Defining the following sets (domains).

Real Domain – Contains elements observered by the artists during creation of the artwork (or elements that the artist observer some time ago).

Presented Domain – Contains elements depicted in the artwork.

Hidden Domain – Contains elements of the hidden dominant of the decentrist artwork.  Elements purposfully hidden by the artist to create a tension between the depicted and hidden domain..

Mental Domain – Contains elements existing in the minds of the artists and observer.  Included here are intelectual processes of reflection, analysis, as well as intuitive cognition among other mental processes.

All elements are marked symbolically, such that they can be unambiguosuly referred to in further analaysis.  For now it is not necessary to delve deeper into this aspect of the symbology.

Let’s start by assessing the decentrist work from the point of view of its creator.  The artist makes certain decisions, more or less intuitively, to depict or hide certain portions of the object.  Does the hidden dominant in this context exist only in the mind of the artist?

When the observer contemplates the finished artwork, does the hidden object exist in her or his mind?  Does the hidden object exist also in the Presented Domain?


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