# Semantic Numeration Systems as Dynamical Systems

arXiv: https://arxiv.org/abs/2507.21295 · HTML: https://mlsanity.com/paper/2507.21295/

## Key facts

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- First posted on arXiv 28 Jul 2025.

## Abstract (arXiv)

The foundational concepts of semantic numeration systems theory are briefly outlined. The action of cardinal semantic operators unfolds over a set of cardinal abstract entities belonging to the cardinal semantic multeity. The cardinal abstract object (CAO) formed by them in a certain connectivity topology is proposed to be considered as a linear discrete dynamical system with nonlinear control. Under the assumption of ideal observability, the CAO state equations are provided for both stationary and non-stationary cases. The fundamental role of the configuration matrix, which combines information about the types of cardinal semantic operators in the CAO, their parameters and topology of connectivity, is demonstrated.