Journal articles: 'Mathematical linguistics'

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Gua, Hans. "A Mathematical Theory of Language." International Journal of Contemporary Education 1, no. 1 (December 27, 2017): 1. http://dx.doi.org/10.11114/ijce.v1i1.2893.

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Modern linguistics cannot define and identify the best or standard pronunciations, writing and grammar. The choice and decision of sole human unified standard official or common language cannot be solved by modern linguistics generally. The current linguistics is no longer met the human developments because it can’t answer what the best language is. The sole unified standard official global English cannot appear because of English linguistic level and shortcoming mainly. English linguistics comes to predominate in the contemporary era. Negating and improving the current linguistics must be negated and improved English linguistics first. The finite numerals are expressed infinite quantities in the mathematics. The finite sounds are represented the infinite meanings in the language. The theory and method are almost same in the mathematics and linguistics generally. The linguistics is a branch or concrete application of information theory (IT). IT is based on the probability theory and statistics generally. A meaning is often certain code, string of codes or mathematical value in the language. Defining or explaining certain meaning of language is measured and calculated a mathematical value actually. A subsystem or subtopic such as language teaching is often based on the general linguistics.

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Vasyliev, Oleksii, Oleksandr Chalyi, and Ilona Vasylieva. "Mathematical Methods and Models in Linguistics." Ukraina Moderna 27, no. 27 (2019): 9–28. http://dx.doi.org/10.30970/uam.2019.27.1060.

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In this article, relevant approaches to creating and using mathematical models in linguistics are examined. Analyzed are the types of mathematical methods used to solve linguistic tasks. Also investigated are the fundamental principles for creating mathematical models. Stressed in particular is that the approach usually applied in solving physical tasks can be effective. Its typical feature is that a universal theory explaining the interaction among a system’s functional elements on the most general level is the basis of the model. In this case, the necessary approximating dependencies are not conjectured, as is often the case, but obtained or calculated on the basis of the fundamental theory. The prospects for applying this approach in linguistics are defined. Examples of the modeling of linguistic systems and a comparative analysis of their various methods are provided. Much attention is paid to the universality of the mathematical models used to analyze linguistic material. It is noted that if the approximate dependencies used are based on a system’s general universal properties, this can significantly complicate the quantitative analysis of the data. The advantages and shortcomings of mathematical modeling in solving applied linguistic tasks are illustrated. Besides “classic” models (such as Zipf’s law for the rank distribution of words in a text), other modeling approaches are described. In particular, attention is paid to the methods of constructing mathematical models based on neural networks. In this case, the approximation of dependence is realized in the form of sequential essentially nonlinear transformations. The main disadvantage of this approach is connected with the technical complications of execution and with the absence of overt analytical dependence. The main advantage is hidden in the potential possibility of creating approximate dependencies of practically any type. As a comparison of various modeling approaches, the article provides examples of solving the same linguistic tasks using several methods.

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Frawley, William, Aleksej V. Gladkij, Igor A. Mel'cuk, and John Lehrberger. "Elements of Mathematical Linguistics." Language 61, no. 1 (March 1985): 246. http://dx.doi.org/10.2307/413479.

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Mazurov, Vl D., and E. Yu Polyakova. "Universals and Mathematical Linguistics." Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control & Radioelectronics 18, no. 2 (2018): 54–59. http://dx.doi.org/10.14529/ctcr180205.

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Rodríguez, Horacio. "Kornai, András: Mathematical Linguistics." Machine Translation 21, no. 4 (December 2007): 253–56. http://dx.doi.org/10.1007/s10590-008-9043-4.

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Mezhoud, Salim. "Language Mathematics and Mathematics Language, Reading from Computational Linguistics." Mathematical Linguistics 1, no. 1 (December 31, 2021): 7–24. http://dx.doi.org/10.58205/ml.v1i1.140.

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The language of mathematics is the system used by mathematicians to communicate mathematical ideas among themselves. This language consists of a substrate of some natural language using technical terms and grammatical conventions that are peculiar to mathematical discourse, supplemented by a highly specialized symbolic notation for mathematical formulas. mathematical characterizations of various notions of linguistic complexity include also computational linguistics, philosophical logic, knowledge representation as a branch of artificial intelligence, theoretical computer science, and computational psychology. Mathematical linguistics has initially served as a foundation for computational linguistics, though its research agenda of designing machines to simulate natural language understanding is clearly more applied. Inductive methods have gained the upper hand in applied computational linguistics The question is whether mathematics is a language, or that language is mathematical, and how computational linguistics employs language as mathematics.

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Begz, Chuluundorj. "Mathematical Approaches to Cognitive Linguistics." International Journal of Applied Linguistics & English Literature 2, no. 4 (July 1, 2013): 192–99. http://dx.doi.org/10.7575/aiac.ijalel.v.2n.4p.192.

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Bach, Emmon, and Eric Bach. "Mathematical linguistics by András Kornai." Language 89, no. 4 (2013): 970–73. http://dx.doi.org/10.1353/lan.2013.0063.

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Warnow, T. "Mathematical approaches to comparative linguistics." Proceedings of the National Academy of Sciences 94, no. 13 (June 24, 1997): 6585–90. http://dx.doi.org/10.1073/pnas.94.13.6585.

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Stabler, Edward P. "Three Mathematical Foundations for Syntax." Annual Review of Linguistics 5, no. 1 (January 14, 2019): 243–60. http://dx.doi.org/10.1146/annurev-linguistics-011415-040658.

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Three different foundational ideas can be identified in recent syntactic theory: structure from substitution classes, structure from dependencies among heads, and structure as the result of optimizing preferences. As formulated in this review, it is easy to see that these three ideas are completely independent. Each has a different mathematical foundation, each suggests a different natural connection to meaning, and each implies something different about how language acquisition could work. Since they are all well supported by the evidence, these three ideas are found in various mixtures in the prominent syntactic traditions. From this perspective, if syntax springs fundamentally from a single basic human ability, it is an ability that exploits a coincidence of a number of very different things.

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Polyakov, О. M. "R-linguistics. The Principle of Linguistic Duality." Discourse 9, no. 2 (April 21, 2023): 103–10. http://dx.doi.org/10.32603/2412-8562-2023-9-2-103-110.

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Introduction. R-linguistics uses the axiomatic method in its approach to modeling the world and language [1]. Axioms define the categories of language, their properties and ways of formation. On this basis, when processing the accumulated data in the form of relations, it is possible to form systems of categories and determine the verbs connecting these categories. A reasonable question arises: if categories (to be such) must satisfy certain axioms, does this requirement apply to verbs as well? The purpose of this article is to deal with this issue.Methodology and sources. The results of the previous parts of the series are used as research tools. The axioms and methods of verb categorization formulated earlier are used to develop the necessary mathematical representations of the verb axiomatics.Results and discussion. The article introduces the axiom for the verbs of the language (the axiom of the verbal cross) and shows that this axiom is related to the categorization axiom (the correctness axiom). Although this connection is not identical, it becomes such with the additional use of the axiom of extensiveness. This relationship made it possible to formulate the fundamental principle of linguistics – the principle of duality.Conclusion. The axiomatics of verbs and categories of a language turns out to be connected, and one determines the other, so that by and large it does not matter which of them is the source of the model of the world and the appearance of language. This unity is formulated as the principle of duality in linguistics. The manifestations of the principle of duality in the language are diverse, but this article focuses on the discussion of the appearance in the language of verbs-processes and adverbs. This transition is considered, starting with obtaining the initial data about the world, to the emergence of ideas about processes and adverbs as a feature system of verbs.

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Lambek, J. "Grammar as Mathematics." Canadian Mathematical Bulletin 32, no. 3 (September 1, 1989): 257–73. http://dx.doi.org/10.4153/cmb-1989-039-x.

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AbstractWhile there are a small number of reasonably deep theorems in mathematical linguistics, I wish to argue that grammar is mathematics at a very basic level, albeit "trivial" mathematics. Linguistic activities such as the production and recognition of sentences are quite analogous to the mathematical activities of proving theorems or making calculations, while learning a language involves something akin to the discovery or invention of postulates.

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Polyakov, O. M. "Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 2. Identification." Discourse 5, no. 5 (December 18, 2019): 99–113. http://dx.doi.org/10.32603/2412-8562-2019-5-5-99-113.

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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.

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Polyakov, O. M. "Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 2. Identification." Discourse 5, no. 5 (December 18, 2019): 99–113. http://dx.doi.org/10.32603/2412-8562-2019-55-99-113.

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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.

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Covington, Michael A. "Mathematical and Computational Analysis of Natural Language: Selected Papers From the 2nd International Conference on Mathematical Linguistics, Tarragona, 2-4 May 1996, and: Issues in Mathematical Linguistics: Workshop on Mathematical Linguistics, State College, PA, April 1998 (review)." Language 77, no. 3 (2001): 612–13. http://dx.doi.org/10.1353/lan.2001.0148.

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Heck, Dorota. "From mathematical linguistics to philology: Some remembered impressions." Oblicza Komunikacji 12 (June 24, 2021): 41–45. http://dx.doi.org/10.19195/2083-5345.12.4.

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The author recalls her youth in Wroclaw where Jerzy Woronczak — a philologist and one of the pioneers in applying mathematical linguistics to literary analysis — worked. Woronczak was a true master for his students in the nineteen-seventies and eighties. It is interesting to trace the paradoxical journey from traditional Polish philology to mathematical linguistics, semiotics and structuralism fifty years ago, and from them to the new philology as a phenomenon of digital humanities.

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Ogiela, Lidia, Marek R. Ogiela, and Ryszard Tadeusiewicz. "Mathematical Linguistics in Cognitive Medical Image Interpretation Systems." Journal of Mathematical Imaging and Vision 34, no. 3 (April 1, 2009): 328–40. http://dx.doi.org/10.1007/s10851-009-0151-4.

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Lobato, Joanne, Charles Hohensee, and Bohdan Rhodehamel. "Students' Mathematical Noticing." Journal for Research in Mathematics Education 44, no. 5 (November 2013): 809–50. http://dx.doi.org/10.5951/jresematheduc.44.5.0809.

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Even in simple mathematical situations, there is an array of different mathematical features that students can attend to or notice. What students notice mathematically has consequences for their subsequent reasoning. By adapting work from both cognitive science and applied linguistics anthropology, we present a focusing framework, which treats noticing as a complex phenomenon that is distributed across individual cognition, social interactions, material resources, and normed practices. Specifically, this research demonstrates that different centers of focus emerged in two middle grades mathematics classes addressing the same content goals, which, in turn, were related conceptually to differences in student reasoning on subsequent interview tasks. Furthermore, differences in the discourse practices, features of the mathematical tasks, and the nature of the mathematical activity in the two classrooms were related to the different mathematical features that students appeared to notice.

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Toirova, Guli Ibragimovna. "THE IMPORTANCE OF LINGUISTIC MODELS IN THE DEVELOPMENT OF LANGUAGE BASES GE BASE." Scientific Reports of Bukhara State University 4, no. 6 (December 29, 2020): 98–106. http://dx.doi.org/10.52297/2181-1466/2020/4/6/8.

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Relevance. In Uzbek linguistics, a number of studies have been carried out on automatic translation, the development of the linguistic foundations of the author's corpus, the processing of lexicographic texts and linguistic-statistical analysis. However, the processing of the Uzbek language as the language of the Internet: spelling, automatic processing and translation programs, search programs for various characters, text generation, the linguistic basis of the text corpus and national corpus, the technology of its software is not studied in any monograph. The article discusses such problems as: the transformation of language into the language of the Internet, computer technology, mathematical linguistics, its continuation and the formation and development of computer linguistics, in particular the question of modeling natural languages for artificial intelligence. The Uzbek National Corps plays an important role in enhancing the international status of the Uzbek language.

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Williams, Travis D. "Mathematical Enargeia: The Rhetoric of Early Modern Mathematical Notation." Rhetorica 34, no. 2 (2016): 163–211. http://dx.doi.org/10.1525/rh.2016.34.2.163.

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This article proposes and explicates a rhetorical model for the function of notational writing in sixteenth- and seventeenth-century European mathematics. Drawing on enargeia's requirement that both author and reader contribute to the full realization of a text, mathematical enargeia enables the transformation of images of mathematical imagination resulting from an encounter with mathematical writing into further written acts of mathematical creation. Mathematical enargeia provides readers with an ability to understand a text as if they created it themselves. Within the period's dominant reading of classical geometry as a synthetic presentation that suppressed, hid, or obscured analytic mathematical reality, notational mathematics found favor as a rhetorically unmediated expression of mathematical truth. Consequently, mathematical enargeia creates an operational and presentational link between mathematics' past and its future.

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Williams, Travis D. "Mathematical Enargeia: The Rhetoric of Early Modern Mathematical Notation." Rhetorica 34, no. 2 (March 2016): 163–211. http://dx.doi.org/10.1353/rht.2016.0017.

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Khodiakova, Galina. "Computer processing of texts in quantitative linguistics course." Scientific Visnyk V.O. Sukhomlynskyi Mykolaiv National University. Pedagogical Sciences 65, no. 2 (2019): 323–28. http://dx.doi.org/10.33310/2518-7813-2019-65-2-323-328.

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In the article one of the approaches to teaching quantitative linguistics course is described. In spite of the fact that the course is relatively new there are already some traditions in its teaching. Usually the usage of a number of mathematical methods and methods of mathematical statistics is accented. Students studying quantitative linguistics according to these programs are required to have a deep understanding in the corresponding subject areas. From the beginning of the 2000s text processing computer programs have been actively developed, there are examples of using these programs in studying process. Supporting and updating previously created programs is not of current interest, online services developed by big corporations are widely used for analysis and processing of linguistic information. Programs that appeared lately have much better quality, reliability and availability compared to their predecessors. They can be successfully used in studying process. The goal of writing this article is to describe the possibilities of modern computer means for text information analysis and the methods of their usage in the process of teaching students the course of quantitative linguistics. The functionalities of a number of popular online text processing and analysis services are described in this article. Further in the article examples of the practical work on following topics are given: Text frequency characteristics, Zipf’s Law, Semantic text analysis, Typological indices of Greenberg, Grammar text analysis, building semantic graphs. Computer text processing is used also during phonosemantic analysis of words and text, identification of the author of a text, finding the amount of information in the linguistic unit. In the program of teaching students on specialization «Applied linguistics» for studying the discipline «Quantitative linguistics» 3 credits, 10 hours of lectures and 20 hours of workshops are allocated. In prospect, the development of quantitative linguistics teaching course, extension of a list of topics for studying methods of computer text processing, deepening knowledge by studying algorithms of automated text processing are possible. This can be a subject for further research in the field of teaching quantitative linguistics course.

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Maslova, T. V. "Existence theorem of the critical isotherm in mathematical linguistics." Mathematical Notes 86, no. 5-6 (December 2009): 873–78. http://dx.doi.org/10.1134/s0001434609110297.

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Case, Rod E., Pete Cobin, and Gwedolyn Williams. "Age-related differences in language use within the mathematical register." Buckingham Journal of Language and Linguistics 9 (May 31, 2017): 115–28. http://dx.doi.org/10.5750/bjll.v9i0.958.

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The struggles that learners face as they attempt to produce mathematical explanations have been widely documented from researchers working in the systemic functional linguistics tradition. The approach has been to isolate specific grammatical patterns which differ across the natural and mathematical register and then argue that these represent a source of trouble for learners. This manuscript explores the extent to which age accounts for differences in the production of explanations within the mathematical register, but does so from a cognitive linguistic tradition.Data was collected over three weeks from 50 students, 30 boys and 20 girls in five different classrooms. A Chi-Square test of independence demonstrated age-related differences in the use of six different grammatical patterns within the mathematical register. The larger argument is made that producing explanations within the mathematical register relies more on the strategic use of multiple grammatical patterns and semantic forms than the mastery of a single grammatical pattern.

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Milkevich, Yelena, and Yelena Severina. "The course of cognitive linguistics in the curriculum of the master’s degree programme on digital humanities." E3S Web of Conferences 273 (2021): 12151. http://dx.doi.org/10.1051/e3sconf/202127312151.

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The Master’s Degree Programme “Digital technologies in philology. Computer linguistics” at Southern Federal University, Russia, Rostov-on-Don, offers innovative multi-disciplinary courses based on the ideology of Digital Humanities. It combines knowledge from various sciences which complement each other in digital research. Cognitive linguistics is interdisciplinary in its essence as it makes use of different sciences, such as philosophy, linguistics, psychology, neuroscience, anthropology, mathematical statistics and others in order to explain the workings of our mind. This humanitarian science widely implements in its linguistic inquiry technologies, methods and tools from other related spheres. All these make it important to incorporate the academic course of cognitive linguistics into the Master’s Degree Programme. To better benefit the Programme the course is divided into two parts, theoretical and practical. During the course the students get knowledge of basic assumptions in cognitive linguistics, which help to set their minds in ‘cognitive linguistics’ thinking. Further course-based experience enables students to carry out linguistic research applying modern methods of corpus analysis, cognitive analysis, introspection and other big data tools. The practical part is based on a definite algorithm of steps, which help to conduct multidisciplinary analysis and easy to follow in the students’ independent research.

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Becerra-Bonache, Leonor. "Learning SEC_p Languages from Only Positive Data." Triangle, no. 8 (June 29, 2018): 1. http://dx.doi.org/10.17345/triangle8.1-18.

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The eld of Grammatical Inference provides a good theoretical framework for investigating a learning process. Formal results in this eld can be relevant to the question of rst language acquisition. However, Grammatical Inference studies have been focused mainly on mathematical aspects, and have not exploited the linguistic relevance of their results. With this paper, we try to enrich Grammatical Inference studies with ideas from Linguistics. We propose a non-classical mechanism that has relevant linguistic and computational properties, and we study its learnability from positive data.

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Tomalin, Marcus. "Leonard Bloomfield." Historiographia Linguistica 31, no. 1 (July 30, 2004): 105–36. http://dx.doi.org/10.1075/hl.31.1.06tom.

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Summary This paper considers various aspects of Leonard Bloomfield’s (1887–1949) interest in contemporaneous mathematics. Specifically, some of the sources from which he obtained his mathematical knowledge are discussed, as are his own proposals for a linguistics-based solution to the foundations crisis which preoccupied leading mathematicians during the first half of the 20th century. In addition, his attitude towards the role of meaning in linguistic theory is reassessed in the light of his knowledge of Hilbertian Formalism.

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Kessler, Brett. "The Mathematical Assessment of Long-Range Linguistic Relationships." Language and Linguistics Compass 2, no. 5 (September 2008): 821–39. http://dx.doi.org/10.1111/j.1749-818x.2008.00083.x.

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Lobovikov, V. O. "Artificial Intelligence and an Almost Unknown Aspect of Mathematical Linguistics." Discourse-P 19, no. 3 (2022): 170–84. http://dx.doi.org/10.17506/18179568_2022_19_3_170.

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Rakhmanovich, Karimov Bakhtiyor, and Mutalov Shoahmad Shonazarovich. "MULTIMEDIA AND INFORMATION TECHNOLOGIES AIDED SOLUTIONS IN THE SYSTEM OF WORLD CIVILISATION LANGUAGE PROCESSES." European International Journal of Multidisciplinary Research and Management Studies 02, no. 10 (October 1, 2022): 154–60. http://dx.doi.org/10.55640/eijmrms-02-10-29.

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It is proposed to create averaged languages by using the methods of mathematical and computer linguistics based on averaging vocabularies and grammar rules and norms of genealogically cognate languages has been proposed. The idea of creating averaged world language is proposed by means of averaging the averaged and isolated languages. Social, cultural, linguistic, information, communication problems of averaged languages and ways of using multimedia technologies in the area have been investigated.

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Zolkower, Betina, and Elizabeth de Freitas. "Mathematical meaning-making in whole-class conversation." Dialogue and Representation 2, no. 1 (May 12, 2012): 60–79. http://dx.doi.org/10.1075/ld.2.1.04zol.

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This paper focuses on a brief whole-group conversation captured in a sixth grade classroom taught by an experienced teacher. Drawing upon systemic functional linguistics, we treat the conversation as a multi-semiotic text of the genre of teacher-guided mathematics problem framing. After describing the generic structure of the text and its context of situation, we analyze the ideational, interpersonal, and textual meanings students and teacher contributed to its conjoined making. Our analysis shows how the text means as it does and, in so doing, underlines those features that make it a paradigmatic instantiation of its genre. We conclude by highlighting the contribution of systemic functional linguistics to current conversations about thought and language, dialogue and representation, and context and text.

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Serebrianska, Irina. "APPLIED LINGUISTICS, COMPUTATIONAL LINGUISTICS AND OTHER INTERDISCIPLINARY SCIENCES AS EFFECTIVE INTERCULTURAL COMMUNICATION STRATEGIES." Fìlologìčnì traktati 13, no. 1 (2021): 78–84. http://dx.doi.org/10.21272/ftrk.2021.13(1)-8.

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The article deals with the issues of interaction of linguistics and modern computer information technologies. It systematizes the actual problems and ways of their integration based on the analysis of the latest scientific works and the appropriate educational programs in higher education institutions all over the world. It draws attention to interdisciplinary sciences such as applied linguistics, computational linguistics, linguistic informatics, quantitative linguistics, mathematical linguistics, Internet linguistics, and integrated knowledge. The cooperation of two different areas is very productive and prospective. It contributes to the development of artificial intelligence and provides wider professional opportunities, effective intercultural communication and further improvement of society. The representatives of two, very different fields become mutually beneficial and complete each other successfully. The result of this interaction is a universal specialist which is in great demand nowadays. The main issues of the interaction of linguistics and modern information technologies are the following: 1) the role of virtual space and modern information technology in the development of linguistics; 2) the role of linguistics in the development of virtual space and information technologies, and the training of computer specialists; 3) the place of virtual space and modern information technologies in preparing linguists and translators (machine translation, translation systems, etc.); 4) the emergence of interdisciplinary sciences and educational courses at the intersection of two areas to provide society with professionals with integrated knowledge; duplication of their conceptual and terminological apparatus and research methods (due to their novelty); methodological support of the integrated educational process.

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Halák, Jan. "La parole operante comme specification de l’intentionnalite motrice chez Merleau-Ponty." Studia Universitatis Babeș-Bolyai Philosophia 66, no. 2 supplement (October 30, 2021): 107–19. http://dx.doi.org/10.24193/subbphil.2021.2s.07.

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"Operative Speech as a Specification of Motor Intentionality in Merleau-Ponty. This paper outlines Merleau-Ponty’s interpretation of higher-order cognition as a fundamentally embodied process that is enacted by motor subject situated in natural and cultural environment. More specifically, I exemplify Merleau-Ponty’s interdisciplinary approach to cognition on his interpretations of motor intentionality, operative speech, and mathematical reasoning, which are based on neuropathology, linguistics, and gestalt psychology, respectively. In this analysis, I aim to show that the body is involved in cognition as an operator of the phenomenal structuration of the environment even at the level of linguistic, rational, and abstract experience. Keywords: Merleau-Ponty; phenomenology; embodied cognition; higher-order cognition; motor intentionality; philosophy of language; mathematical reasoning. "

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Baumann, Andreas, and Lotte Sommerer. "Linguistic diversification as a long-term effect of asymmetric priming." Language Dynamics and Change 8, no. 2 (October 1, 2018): 253–96. http://dx.doi.org/10.1163/22105832-00802002.

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Abstract This paper tries to narrow the gap between diachronic linguistics and research on population dynamics by presenting a mathematical model corroborating the notion that the cognitive mechanism of asymmetric priming can account for observable tendencies in language change. The asymmetric-priming hypothesis asserts that items with more substance are more likely to prime items with less substance than the reverse. Although these effects operate on a very short time scale (e.g. within an utterance) it has been argued that their long-term effect might be reductionist, unidirectional processes in language change. In this paper, we study a mathematical model of the interaction of linguistic items that differ in their formal substance, showing that, in addition to reductionist effects, asymmetric priming also results in diversification and stable coexistence of two formally related variants. The model will be applied to phenomena in the sublexical as well as the lexical domain.

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Yankson, Kwame. "Why Mathematics at the High School Level Evolved to Include Linguistics." European Journal of Education and Pedagogy 3, no. 6 (December 21, 2022): 233–39. http://dx.doi.org/10.24018/ejedu.2022.3.6.540.

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This article foregrounds the fundamental role that language can play in communicating mathematical ideas and contexts. The findings from this article contribute to an understanding of different ways textbook series with particular orientations make opportunities available for students to develop forms of agency and autonomy during classroom learning. The article also contributes methodology for analyzing mathematical texts of different genres.

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Dirar Ajouje and Islam Hab Eddine. "The role of electronic dictionaries in building linguistic atlases in the light of computational linguistics." مجلة قضايا لغوية | Linguistic Issues Journal 2, no. 1 (June 15, 2021): 78–89. http://dx.doi.org/10.61850/lij.v2i1.37.

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It is recognized that utilizing modern technologies and fields is an imperative in order to develop the Arabic language, especially in the preparation of linguistic atlases, to become more quality, accurate and organized, through digitization and computerization of atlases, which requires reliance on what is known in the field of applied linguistics computer computing. The latter aims to exploit the characteristics of logical and mathematical computers in the automatic processing and classification of Arabic speech. Electronic dictionaries represent an important tool in building linguistic atlases, especially as they dealt with Arabic dialects, as it is a knowledge database that allows us to track Arabic speech and distribute it geographically. Therefore, we wonder how to model the linguistic atlas electronically ?, how to achieve a qualitative leap in the field of linguistic atlas in the light of computing?

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Polyakov, O. M. "Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 1. Categorization." Discourse 5, no. 4 (October 29, 2019): 102–14. http://dx.doi.org/10.32603/2412-8562-2019-5-4-102-114.

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Introduction. The article opens a series of publications on the linguistics of relations (hereinafter R–linguistics), the purpose of which is to formalize the processes studied by linguistics, to expand the possibilities of their use in artificial intelligence systems. At the heart of R-linguistics is the hypothesis that mental and linguistic activity is based on the use of consciousness model of the world, which is a system of specially processed relationships observed in the world or received by consciousness in the process of communication.Methodology and sources. This article is devoted to the axiomatization of the categorization process. The research methods consist of the development of necessary mathematical concepts for linguistics.Results and discussion. Axioms of categorization are defined and their equivalence with other systems of axioms is established. The concept of linguistic spaces, which consist of categories formed on the basis of axioms, is formulated. The properties of linguistic spaces are defined. In the paper are introduced the concepts of forming species which are important in decompositions of spaces, and in the transition to a parametric representation and language. Three variants of categorization are considered, the most important of which is verbal categorization. The evaluation of the results and their further development in different directions is carried out.Conclusion. At the end of the article some additional comments are made for further publications of the series.

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Dawe, Lloyd. "Bilingualism and Mathematical Reasoning." TESOL Quarterly 19, no. 2 (June 1985): 369. http://dx.doi.org/10.2307/3586836.

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GALLOWAY, DAVID. "Wynn on Mathematical Empiricism." Mind & Language 7, no. 4 (December 1992): 333–58. http://dx.doi.org/10.1111/j.1468-0017.1992.tb00307.x.

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Choi, Kyounga. "A study on literature review of mathematical modeling in mathematical competencies perspective." Korean School Mathematics Society 20, no. 2 (June 30, 2017): 187–210. http://dx.doi.org/10.30807/ksms.2017.20.2.006.

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The animated discussion about mathematical modeling that had studied consistently in Korea since 1990s has flourished, because mathematical modeling was involved in the teaching-learning method to improve problem solving competency on 2015 reformed mathematics curriculum. In an attempt to re-examine the educational value and necessity of application to school education field, this study was to review the literature of mathematical modeling in mathematical competencies perspective. As a result, mathematical modeling could not only be involved the components of problem solving competency, but also support other competencies; reasoning, creativity-amalgamation, data-processing, communication, and attitude -practice. In this regard, This paper suggested the necessity of the discussion about the position of mathematical modeling in mathematical competencies and the active use of mathematical modeling tasks in mathematics textbook or school classes.

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Fitri, Rahmadhani, Ganda Hijrah Selaras, Rika Andima, Rizki Rahman Putra, Resti Fevria, and Indra Hartanto. "Multiple Intellegences of Social Sciences and Linguistics Students Grade X Crossing Biology Interest." Bioeducation Journal 3, no. 2 (December 31, 2019): 101–12. http://dx.doi.org/10.24036/bioedu.v3i2.241.

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Multiple intelligences are the development of intelligence of the brain or intelligence quotient (IQ), emotional intelligence or emotional quotient (EQ), and spiritual intelligence or Spiritual Quotient (SQ). The intelligence consists of nine levels of intelligence is known as the Multiple Intelligences (MI) which includes: linguistic intelligence, mathematical-logical intelligence, visual spatial intelligence, physical-kinesthetic intelligence, musical intelligence, interpersonal intelligence, intrapersonal intelligence, naturalist intelligence, and existential lntelligence. This theory shows that there is no human activity that uses only one intelligence, but uses all intelligence that exists in humans. Intelligence is a single talent that students use in situations of solving any problem. Every student has a different intelligence. This is because there are several factors that influence it, namely the hereditary factor, interest factor, formation factor, maturity factor, and freedom factor.This research are descriptive study which aims to reveal the level of MI of social sciences and linguistcs student grade X crossing biology interest at SMAN 1V Koto KampungDalam. Results of the study, it was faund that the most dominant intelligence in social science students is naturalist intelligence. In the linguistics scienscestudents, the most dominant intelligence is existential intelligence.

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Grigoryevich, Antipenko Leonid. "Linguistics in the Framework of Three-Dimensional Logo: Letter, Note, Numeral." World Journal of English Language 10, no. 2 (July 22, 2020): 39. http://dx.doi.org/10.5430/wjel.v10n239-45.

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The task of the article is return prosody to linguistics, to turn linguistics to speech, to voice content. For this, linguistics rises to the logo. It is shown that the logo as such is divided into three hypostases: the verbal logo, the musical logo (melos) and mathematical logo. The results of objectifications (Entӓusserung, Gegenstӓndlichkeit in German) of these components are expressed respectively by letters, notes and numerals. Each of the three components has two aspects that the author calls styles. The verbal logo has a prosaic and poetic style; musical logo has vocal (voice) and musical-instrumental style; mathematical logo has a logical style and a historical style. Martin Heidegger showed that the logo is inextricable linked with time. The projection of time on the created images ̶ verbal and poetic (letters), musical (notes), mathematical (numеrals) ̶ allows you to fill them with life, to give them a natural look. Thus, orientation to the logos leads the linguist to a wider understanding of the subject of linguistics in comparison with the previous, narrowed version of its interpretation.

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Grigoryevich, Antipenko Leonid. "Linguistics in the Framework of Three-Dimensional Logo: Letter, Note, Numeral." World Journal of English Language 10, no. 2 (July 22, 2020): 39. http://dx.doi.org/10.5430/wjel.v10n2p39.

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The task of the article is return prosody to linguistics, to turn linguistics to speech, to voice content. For this, linguistics rises to the logo. It is shown that the logo as such is divided into three hypostases: the verbal logo, the musical logo (melos) and mathematical logo. The results of objectifications (Entӓusserung, Gegenstӓndlichkeit in German) of these components are expressed respectively by letters, notes and numerals. Each of the three components has two aspects that the author calls styles. The verbal logo has a prosaic and poetic style; musical logo has vocal (voice) and musical-instrumental style; mathematical logo has a logical style and a historical style. Martin Heidegger showed that the logo is inextricable linked with time. The projection of time on the created images ̶ verbal and poetic (letters), musical (notes), mathematical (numеrals) ̶ allows you to fill them with life, to give them a natural look. Thus, orientation to the logos leads the linguist to a wider understanding of the subject of linguistics in comparison with the previous, narrowed version of its interpretation.

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WANG, XIAOLONG, DANIEL S. YEUNG, JAMES N. K. LIU, ROBERT LUK, and XUAN WANG. "A HYBRID LANGUAGE MODEL BASED ON STATISTICS AND LINGUISTIC RULES." International Journal of Pattern Recognition and Artificial Intelligence 19, no. 01 (February 2005): 109–28. http://dx.doi.org/10.1142/s0218001405003934.

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Language modeling is a current research topic in many domains including speech recognition, optical character recognition, handwriting recognition, machine translation and spelling correction. There are two main types of language models, the mathematical and the linguistic. The most widely used mathematical language model is the n-gram model inferred from statistics. This model has three problems: long distance restriction, recursive nature and partial language understanding. Language models based on linguistics present many difficulties when applied to large scale real texts. We present here a new hybrid language model that combines the advantages of the n-gram statistical language model with those of a linguistic language model which makes use of grammatical or semantic rules. Using suitable rules, this hybrid model can solve problems such as long distance restriction, recursive nature and partial language understanding. The new language model has been effective in experiments and has been incorporated in Chinese sentence input products for Windows and Macintosh OS.

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Toirova, Guli. "Creation and importance of language corps in Uzbekistan." BIO Web of Conferences 84 (2024): 04003. http://dx.doi.org/10.1051/bioconf/20248404003.

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The article discusses the transformation of language into the language of the Internet, computer technology, mathematical linguistics, its continuation and the formation and development of computer linguistics, in particular the question of modeling natural languages for artificial intelligence. The Uzbek National Corps plays an important role in enhancing the international status of the Uzbek language. The work carried out in the field of computer linguistics plays an important role in resolving existing problems in the Uzbek language. The question of the linguistic and extralinguistic separation of special tags for marking texts and their components is studied in particular.The coding requirements for important text information are defined. The state analyzes the linguistic module and the algorithm and its types from independent components of the linguistic program code. The need for algorithms for phonological, morphological and spelling rules for the formation of the lexical and grammatical code is scientifically substantiated. The importance of such linguistic modules as phonology, morphology and spelling in the formation of the linguistic base of the national corpus of the Uzbek language is emphasized. The article examines the corpus’s primary purpose as a complex linguistic source, as well as the fact that it primarily contains two sorts of information and its types. The key effective capabilities of the corpus, according to the paper, are reducing time spent on the text analysis process and being able to explain the properties of language units in speech with thousands of instances. The national corpus, the educational corpus, and the parallel corpus are all discussed in the subject of computer linguistics. It was stressed that linguistic and extralinguistic tagging of them, the development of corpus formation algorithms, and the establishment of corpus linguistic support are all societal need. It recognizes the urgency of developing the basis for the creation of the Uzbek language corpus, conducting research in the field of computer linguistics as a scientific and theoretical source.

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Eremeeva, Guzel Rinatovna, Ekaterina Vladimirovna Martynova, Gulnara Firdusovna Valieva, and Sukharev Vladimir Igorevich. "Etymology of Some Mathematical Terms." Journal of Computational and Theoretical Nanoscience 16, no. 11 (November 1, 2019): 4519–22. http://dx.doi.org/10.1166/jctn.2019.8346.

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The article is devoted to the analysis of the history of origin and etymology of some mathematical terms that have identical to the usual things names in natural languages. The research was conducted through analysis of literature, related scientific papers. The terms for study were taken from the field of abstract algebra, some of the terms are technical and used in the whole math. The explanation of the etymology of the terms allows getting deeper into the related area of mathematics, to increase level of the subject understanding and mathematical intuition. The research may be useful to students majoring in mathematics and linguistics.

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Vasilev, A. N., and I. V. Vasileva. "Physics Beyond Physics: Application of Physical Approaches in Quantitative Linguistics." Ukrainian Journal of Physics 65, no. 2 (March 3, 2020): 143. http://dx.doi.org/10.15407/ujpe65.2.143.

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The application of physical methods to solve non-physical problems has been considered. In particular, the prospects of physical approaches in quantitative linguistics are analyzed. The difference between the physical and non-physical methods is illustrated by an example of already existing “classical” models. A few mathematical models which make it possible to determine the rank-frequency dependence for words in a frequency dictionary, as well as the dependence of the dictionary volume on the text length, are proposed. It is shown that the physical approaches and principles that are used in physics can also be successfully applied to create mathematical models in linguistics.

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Mcnamara, O. "Saussurian linguistics revisited: Can it inform our interpretation of mathematical activity?" Science & Education 4, no. 3 (July 1995): 253–66. http://dx.doi.org/10.1007/bf00486623.

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Bala, Romi, and Hemant Pandey. "Mathematical Logic: Foundations and Beyond." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 9, no. 3 (December 17, 2018): 1405–11. http://dx.doi.org/10.61841/turcomat.v9i3.14599.

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Mathematical logic serves as the cornerstone of formal reasoning, providing precise tools for analyzing the structure and validity of arguments. This paper offers a comprehensive exploration of key topics in mathematical logic, spanning from classical propositional and predicate logic to modal logic and non-classical logics. It examines the syntactic and semantic aspects of various logical systems, delves into proof theory and computational complexity, and explores applications in diverse fields such as mathematics, computer science, philosophy, and linguistics. By elucidating the fundamental principles and practical implications of mathematical logic, this paper highlights its pivotal role in advancing knowledge and addressing complex challenges across disciplines.

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Polyakov, O. M. "Linguistic Data Model for Natural Languages and Artificial Intelligence. Part 5. Introduction to Logic." Discourse 6, no. 3 (July 20, 2020): 109–17. http://dx.doi.org/10.32603/2412-8562-2020-6-3-109-117.

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Introduction. The article continues the series of publications on the linguistics of relations (hereinafter R–linguistics) and is devoted to an introduction to the logic of natural language in relation to the approach considered in the series. The problem of natural language logic still remains relevant, since this logic differs significantly from traditional mathematical logic. Moreover, with the appearance of artificial intelligence systems, the importance of this problem only increases. The article analyzes logical problems that prevent the application of classical logic methods to natural languages. This is possible because R-linguistics forms the semantics of a language in the form of world model structures in which language sentences are interpreted.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 logic and semantics, the formulated concept of the interpretation operator is used.Results and discussion. The problems that arise when studying the logic of natural language in the framework of R–linguistics are analyzed. These issues are discussed in three aspects: the logical aspect itself; the linguistic aspect; the aspect of correlation with reality. A very General approach to language semantics is considered and semantic axioms of the language are formulated. The problems of the language and its logic related to the most General view of semantics are shown.Conclusion. It is shown that the application of mathematical logic, regardless of its type, to the study of natural language logic faces significant problems. This is a consequence of the inconsistency of existing approaches with the world model. But it is the coherence with the world model that allows us to build a new logical approach. Matching with the model means a semantic approach to logic. Even the most General view of semantics allows to formulate important results about the properties of languages that lack meaning. The simplest examples of semantic interpretation of traditional logic demonstrate its semantic problems (primarily related to negation).

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Journal articles on the topic 'Mathematical linguistics'

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