Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. Polyakov

Introduction. The article continues a series of publications on the linguistics of relations (hereinafter referred to as R-linguistics) and is devoted to the study of the functioning of logical connectives with nouns and adjectives. The article is the second part of the discussion of internal logic,...

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Main Author: O. M. Polyakov
Format: Article
Language:English
Published: Saint Petersburg Electrotechnical University 2022-04-01
Series:Дискурс
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Online Access:https://discourse.elpub.ru/jour/article/view/485
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author O. M. Polyakov
author_facet O. M. Polyakov
author_sort O. M. Polyakov
collection DOAJ
description Introduction. The article continues a series of publications on the linguistics of relations (hereinafter referred to as R-linguistics) and is devoted to the study of the functioning of logical connectives with nouns and adjectives. The article is the second part of the discussion of internal logic, which examines the use of logical connectives within sentences. This research involves the formation of semantic logic, that is, logic that takes into account the semantics of sentences.Methodology and sources. The results obtained in the previous parts of the series are used as research tools. To develop the necessary mathematical representations in the field of internal logic, the previously formulated semantic concepts and operations are used.Results and discussion. Two types of negation are introduced and their properties are defined. The properties of the linguistic model are formulated. The use of logical connectives with nouns and adjectives is analyzed. It is shown that the connective NOT can be attributed to both external and internal logic. The connectives AND and OR do not have a logical content, but serve to identify the state of a particular concept. Three semantic substitutions are defined. The reasons for the stability of semantic interpretation when changing the state of relations are substantiated.Conclusion. Abandoning the traditional view of natural language logic means abandoning logical operations and inference. This forces us to consider logical operations that now take into account semantics, since they are related to the structure of the linguistic model. Analysis of the functioning of logical connectives with nouns and adjectives shows that they either provide identification of the state of concepts, or can be transferred to external logic, or can operate within the framework of a linguistic model. The formulated substitution rules provide semantically correct substitutions and justify the stability of semantic interpretation in the conditions of changing states of concepts.
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spelling doaj-art-de4d5d344e39460c9f4413b6092b67892025-08-20T03:19:27ZengSaint Petersburg Electrotechnical UniversityДискурс2412-85622658-77772022-04-01829811210.32603/2412-8562-2022-8-2-98-112463Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. PolyakovO. M. Polyakov0Saint Petersburg State University of Aerospace InstrumentationIntroduction. The article continues a series of publications on the linguistics of relations (hereinafter referred to as R-linguistics) and is devoted to the study of the functioning of logical connectives with nouns and adjectives. The article is the second part of the discussion of internal logic, which examines the use of logical connectives within sentences. This research involves the formation of semantic logic, that is, logic that takes into account the semantics of sentences.Methodology and sources. The results obtained in the previous parts of the series are used as research tools. To develop the necessary mathematical representations in the field of internal logic, the previously formulated semantic concepts and operations are used.Results and discussion. Two types of negation are introduced and their properties are defined. The properties of the linguistic model are formulated. The use of logical connectives with nouns and adjectives is analyzed. It is shown that the connective NOT can be attributed to both external and internal logic. The connectives AND and OR do not have a logical content, but serve to identify the state of a particular concept. Three semantic substitutions are defined. The reasons for the stability of semantic interpretation when changing the state of relations are substantiated.Conclusion. Abandoning the traditional view of natural language logic means abandoning logical operations and inference. This forces us to consider logical operations that now take into account semantics, since they are related to the structure of the linguistic model. Analysis of the functioning of logical connectives with nouns and adjectives shows that they either provide identification of the state of concepts, or can be transferred to external logic, or can operate within the framework of a linguistic model. The formulated substitution rules provide semantically correct substitutions and justify the stability of semantic interpretation in the conditions of changing states of concepts.https://discourse.elpub.ru/jour/article/view/485r-linguisticsascription operationinterpretation operatorsubstitution rulesemantics
spellingShingle O. M. Polyakov
Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. Polyakov
Дискурс
r-linguistics
ascription operation
interpretation operator
substitution rule
semantics
title Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. Polyakov
title_full Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. Polyakov
title_fullStr Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. Polyakov
title_full_unstemmed Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. Polyakov
title_short Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 7. Internal logic 2 Oleg M. Polyakov
title_sort linguistic data model for natural languages and artificial intelligence part 7 internal logic 2 oleg m polyakov
topic r-linguistics
ascription operation
interpretation operator
substitution rule
semantics
url https://discourse.elpub.ru/jour/article/view/485
work_keys_str_mv AT ompolyakov linguisticdatamodelfornaturallanguagesandartificialintelligencepart7internallogic2olegmpolyakov