LOGIC WITH ELEMENTS OF MATHEMATICAL LOGIC
Authors:
Type:
Textbook
ISBN:
978-5-16-017468-6
Status:
In work
Language:
Russian
Quantity of pages:
418
Publisher:
INFRA-M Academic Publishing LLC.
Abstract (English):
In the textbook, traditional logic is presented from the point of view of mathematical logic. Mathematization begins with the study of the topic "Concept", continues with the topic "Judgment" and reaches its greatest effectiveness in the study of deductive reasoning. Thus, the most effective part of traditional logic is subjected to mathematization. The issues of the relationship between logic and intuition in thought processes, the role of language in them, as well as plausible conclusions and elements of the theory of fuzzy sets and fuzzy logic are considered. Meets the requirements of the federal state educational standards of higher education of the latest generation. It is addressed primarily to students of mathematical fields of study and specialties of universities, especially future teachers of mathematics and computer science, studying both at the bachelor's and master's level at pedagogical and classical universities. It will also be useful for students of humanities and university specialties — lawyers, philosophers, political scientists, sociologists, economists, historians, philologists, linguists who study traditional logic and want to learn how mathematical methods penetrate into humanitarian fields of knowledge, including the direction of "Applied Informatics".
In the textbook, traditional logic is presented from the point of view of mathematical logic. Mathematization begins with the study of the topic "Concept", continues with the topic "Judgment" and reaches its greatest effectiveness in the study of deductive reasoning. Thus, the most effective part of traditional logic is subjected to mathematization. The issues of the relationship between logic and intuition in thought processes, the role of language in them, as well as plausible conclusions and elements of the theory of fuzzy sets and fuzzy logic are considered. Meets the requirements of the federal state educational standards of higher education of the latest generation. It is addressed primarily to students of mathematical fields of study and specialties of universities, especially future teachers of mathematics and computer science, studying both at the bachelor's and master's level at pedagogical and classical universities. It will also be useful for students of humanities and university specialties — lawyers, philosophers, political scientists, sociologists, economists, historians, philologists, linguists who study traditional logic and want to learn how mathematical methods penetrate into humanitarian fields of knowledge, including the direction of "Applied Informatics".
