title: Ð¯Ð·ÑÐº ÐºÐ°Ðº Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ¸ÑÑÐµÐ¼Ñ
title: Language as a system model
Creators: name: ÐÐ¸ÐºÐ¾Ð½Ð¸, Ð¡ÑÐ°Ð½Ð¸ÑÐ»Ð°Ð²
name: "Ð¡Ð¸ÑÑÐµÐ¼Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð² Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð¾-Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (27; 2023; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2024
Subjects: Ð¡Ð¸ÑÑÐµÐ¼Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·
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Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ·ÑÐº
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Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½Ð°Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ
model
natural language
mathematical language
patterns of system analysis
generalization
coherence
limiting possibility

description: Ð¡Ð¸ÑÑÐµÐ¼Ð½Ð¾ÑÑÑ Ð¼Ð¸ÑÐ° Ð¿ÑÐ¾ÑÐ²Ð»ÑÐµÑÑÑ Ð² ÑÐµÐ»Ð¾Ð²ÐµÑÐµÑÐºÐ¾Ð¼ Ð·Ð½Ð°Ð½Ð¸Ð¸ Ð¾ Ð½ÑÐ¼. ÐÐ½Ð°Ð½Ð¸Ðµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÐµÑÑÑ Ð½Ð° ÐµÑÑÐµÑÑÐ²ÐµÐ½Ð½ÑÑ (Ð½Ð°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½ÑÑ) Ð¸ Ð¸ÑÐºÑÑÑÑÐ²ÐµÐ½Ð½ÑÑ ÑÐ·ÑÐºÐ°Ñ. Ð ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÑÑ ÑÐ¸ÑÑÐµÐ¼Ð½ÑÐµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° ÐµÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ (ÐÐ¯) Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ (ÐÐ¯) ÑÐ·ÑÐºÐ°. Ð¡ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¿ÑÐµÐ´Ð¸ÐºÐ°ÑÐ¾Ð² Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÐµÑÑÑ Ð¿ÐµÑÐµÑÐ¾Ð´ Ð¾Ñ ÐµÐ´Ð¸Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ðº Ð¾Ð±ÑÐµÐ¼Ñ Ð² ÐÐ¯ Ð¸ ÐÐ¯. Ð ÐµÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ¾ÑÐ¼Ð° Ð¿ÑÐµÐ´Ð¸ÐºÐ°ÑÐ° Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÑÑÑ Ð´Ð»Ñ Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¾Ð±ÑÐ½Ð¾ÑÑÐ¸ Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ²ÑÐ·ÐµÐ¹ Ð¿Ð¾ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ðº Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½ÑÐ¼. ÐÑÐ¼ÐµÑÐ°ÐµÑÑÑ ÑÐ¾Ð»Ñ ÑÐ²ÑÐ·ÐµÐ¹ Ð² Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÑÑ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ. ÐÐµÐ¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½Ð½Ð¾ÑÑÑ Ð·Ð½Ð°Ð½Ð¸Ñ ÑÐ²ÑÐ·ÑÐ²Ð°ÐµÑÑÑ Ñ ÑÐ°Ð·Ð¼ÑÑÐ¾ÑÑÑÑ Ð³ÑÐ°Ð½Ð¸Ñ Ð¼ÐµÐ¶Ð´Ñ ÑÑÑÐ½Ð¾ÑÑÑÐ¼Ð¸. ÐÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¾ÑÐ¼Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÑÑ Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½ÑÐµ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð·Ð°Ð¼ÐºÐ½ÑÑÐ¾Ð¹ Ð¸ Ð¾ÑÐºÑÑÑÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. Ð£ÑÐ²ÐµÑÐ¶Ð´Ð°ÐµÑÑÑ, ÑÑÐ¾ Ð·Ð½Ð°Ð½Ð¸Ðµ Ð¸ Ð¿ÑÐ°Ð²Ð¸Ð»ÑÐ½Ð¾Ðµ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ð½ÑÑ ÑÐ²Ð¾Ð¹ÑÑÐ² ÐµÑÑÐµÑÑÐ²ÐµÐ½Ð½ÑÑ Ð¸ Ð¸ÑÐºÑÑÑÑÐ²ÐµÐ½Ð½ÑÑ ÑÐ·ÑÐºÐ¾Ð² Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¿Ð¾Ð²ÑÑÐ¸ÑÑ ÐºÐ°ÑÐµÑÑÐ²Ð¾ Ð½Ð°ÑÑÐ½ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¸ Ð¿ÑÐ±Ð»Ð¸ÐºÐ°ÑÐ¸Ð¹.
description: The systematic nature of the world is manifested in human knowledge about it. Knowledge is presented in natural (national) and artificial languages. The work examines the systemic properties of natural (NL) and mathematical (ML) languages. Using the model of predicate calculus, the transition from the individual to the general in NL and ML is shown. The relational form of the predicate is used to justify the generality of logical connections in relation to subject ones. The role of connections in multi-level models for various purposes is noted. The uncertainty of knowledge is associated with the blurring of boundaries between entities. The model of a formal system shows the limiting possibilities for the development of a closed and open system. It is argued that knowledge and correct application of the systemic properties of natural and artificial languages can improve the quality of scientific research and publications.