Fundamentals of Semantic Numeration Systems. Can the Context be Calculated?
This work presents a foundational theoretical framework for numeration systems, which could impact fields like mathematics, computer science, or linguistics, but it appears incremental as it builds on existing numeration concepts without immediate practical application.
The paper introduces the concept of semantic numeration systems (SNS) as a new class of context-based numeration methods, proposing fundamental new concepts like cardinal semantic operators and a classification for these systems.
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.