Fundamentals of Semantic Numeration Systems. Can the Context be Calculated?

TL;DR

This paper introduces the concept of semantic numeration systems (SNS), a novel class of context-based numeration methods, and develops foundational concepts and classifications for them.

Contribution

It is the first to define SNS and introduce new foundational concepts like cardinal semantic operators and numeration spaces.

Findings

Proposed the concept of semantic numeration systems.

Developed a classification scheme for SNS.

Introduced new foundational concepts such as cardinal semantic operators.

Abstract

This work is the first to propose the concept of a semantic numeration system (SNS) as a certain class of context-based numeration methods. The development of the SNS concept required the introduction of fundamentally new concepts such as a cardinal abstract entity, a cardinal semantic operator, a cardinal abstract object, a numeration space. The main attention is paid to the key elements of semantic numeration systems - cardinal semantic operators. A classification of semantic numeration systems is given.