Abstract
Introduction. The article continues a series of publications on the linguistics of relations (hereinafter R-linguistics) and is devoted to the origin of signs, their independence and determination of the dimension of linguistic spaces.Methodology and sources. The article is devoted to the continuation of the axiomatic approach, but for the identification process. Research methods are to develop the necessary mathematical concepts for linguistics in the field of identification. Results and discussion. The concept of a sign is defined and its interrelation with decomposition of linguistic spaces is established. This radically changes the attitude to signs in linguistics, where the “external” origin of signs is assumed. It is shown that the decomposition of linguistic spaces into signs spaces entails the independence of signs and the possibility of decomposition of objects of identification. It is fundamentally distinguished by the signs on the parameters. On the basis of the independence of signs it is possible to formulate the notion of dimension of linguistic spaces, which is defined as the smallest number of signs describing the linguistic space. In the lattice of linguistic spaces there is a division operation, which allows to simplify the selection of signs.Conclusion. The main conclusions are as follows. Signs, on the basis of which the identification of objects in the category, are abstract mathematical objects associated with the decomposition of linguistic spaces. Signs are independent from each other and allow not only to make decomposition of spaces, but also to decompose on parts objects of identification. Their origin is not related to their presence in the “outside world”, so it, as will be shown later, creates the basis for the emergence of language.
Highlights
The article continues a series of publications on the linguistics of relations and is devoted to the origin of signs, their independence and determination of the dimension of linguistic spaces
The research materials are presented in the form of mathematical proofs of various properties of the linguistic model associated with the identification process
The appearance of signs may seem strange, given that the linguistic model itself is built on real observation data, and movement in the opposite direction for some reason involves the use of some new artificial objects
Summary
The representation of the model in the form of linguistic spaces connected by verbs does not significantly distinguish it from the relational model. We will take a cardinal step: define the concept of sign, which in the language usually correspond to adjectives From this point on, the linguistic model will have a predictive function and the similarity of relational and linguistic models will be a thing of the past. It is important to understand that a sign is an abstract mathematical object It can be embodied in the world around us, but it is not necessary. Its functions are extensive and on its basis the identification of concepts is carried out This view of signs is the most important feature of this approach and distinguishes it, for example, from the views of cognitive linguistics. The research materials are presented in the form of mathematical proofs of various properties of the linguistic model associated with the identification process
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
