Математическая логика. Политехнический взгляд from Coursera

Современная математическая логика - обширная, сложная и разнообразная область знаний. Мы рассмотрим в курсе самую простую ее часть - логику высказываний. Методы, приемы решения задач логики высказываний составляют базис всей математической логики. На примере этой логики мы познакомим вас с основными задачами математической логики: проверка истинности высказывания при конкретных значениях переменных, эквивалентность двух высказываний, проверка на логическое следствие. Для твердого математического фундамента в курсе изучается математическая модель логики высказываний - двоичные функции, операции с ними, канонические формы, минимизация двоичных функций, их эффективное представление при программировании. Также в курсе затрагиваются вопросы формализации высказываний на естественном языке. Применение логики высказываний продемонстрируем на задаче программирования в логических ограничениях. К широко известным примерам таких задач относится задача Эйнштейна: "В пяти домах живет пять человек разной национальности..." Эти задачи, например, входят в состав алгоритмов работы интеллектуальных агентов. Наш курс отражает инженерный, политехнический подход. Это означает, что курс насыщен различными примерами из жизни, прикладными задачами, практическими случаями использования математической логики. Если вы хотите повысить свою квалификацию как программиста, инженера, политехника, наш курс - для вас.

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Teaches the basics of propositional logic using mathematical models and sets a strong mathematical foundation using binary functions and their operations

Applies propositional logic to real-world problems, including programming in logical constraints, making it relevant to practical applications

Takes an engineering and polytechnic approach, emphasizing examples and practical applications, which aligns with the target audience of programmers, engineers, and polytechnicians

Focuses on the simplest part of mathematical logic, propositional logic, which provides a basis for understanding more complex logical systems

Covers basic tasks in mathematical logic, such as checking truthfulness, equivalence, and logical implication

Instructor Shoshmina Irina Владимировна brings expertise in the field, as evidenced by their role as a course instructor

Reviews summary

Highly rated logic course

This well-received course offers a detailed look at the basics of mathematical logic. Reviews specifically mention the real-world examples, applicable tasks, and practical use cases as strengths of this course. Students also appreciate the inclusion of practice problems and find the course content to be well-structured and informative.

Helpful Practice Problems

"Позволяет углубить свои знания(благодаря примерам и тестовым заданиям усвоить изложенный материал)."

Applicable Examples and Use Cases

"Наш курс отражает инженерный, политехнический подход. Это означает, что курс насыщен различными примерами из жизни, прикладными задачами, практическими случаями использования математической логики."

Well-Structured and Informative

"Последовательность и объем подачи материала отличные."

Some Assignments Too Large

"Единственный минус - в некоторых разделах неоправданно большие по размеру задания (именно по размеру, а не по сложности), выполнение которых занимает слишком много времени, при этом суть отрабатываемого предмета не требует такой сложности."

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Career center

Learners who complete Математическая логика. Политехнический взгляд will develop knowledge and skills that may be useful to these careers:

Software Developer

A Software Developer analyzes user needs and business requirements to design, construct, implement, test, and maintain software systems. This course may be useful for those wishing to specialize in programming within Software Development. The course will help you to develop strong logical thinking skills, understand the program logic, and the working principles of computing machines.

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Data Scientist

A Data Scientist collects, analyzes, interprets, and visualizes data to extract meaningful insights. This course may be useful for those wishing to pursue a career in Data Science. The course will help you build a foundation in logical thinking, problem-solving, and data analysis.

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Business Analyst

A Business Analyst analyzes an organization's business processes, information systems and technology infrastructure to identify areas for improvement and growth. This course may be useful for those wishing to advance their career as a Business Analyst. The course will help you build a strong foundation in logical thinking, problem-solving, and data analysis.

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Computer Scientist

Computer Scientists conduct research on software and hardware systems, design new technology, and develop new ways to use computing technology to solve problems. This course may be useful for those wishing to advance their career in the field of computer science or related fields. The course may help you build a foundation in the principles that underpin computer science while also developing your problem-solving skills.

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Web Developer

A Web Developer designs, develops, and maintains websites and web applications. This course may be useful for those wishing to pursue a career as a Web Developer. The course will help you build a strong foundation in logical thinking, problem-solving, and web development.

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Network Administrator

A Network Administrator manages and maintains computer networks, ensuring their availability, performance, and security. This course may be useful for those wishing to advance their career as a Network Administrator. The course will help you build a foundation in the principles of networking and network security.

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Information Security Analyst

An Information Security Analyst plans and implements security measures to protect an organization's computer networks and systems from unauthorized access, use, disclosure, disruption, modification, or destruction. This course may be useful for those wishing to advance their career as an Information Security Analyst. The course will help you build a strong foundation in logical thinking, problem-solving, and data analysis.

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Technical Writer

A Technical Writer creates and maintains technical documentation, such as user manuals, white papers, and training materials. This course may be useful for those wishing to pursue a career as a Technical Writer. The course will help you develop strong writing and communication skills, as well as a deep understanding of technical concepts.

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Systems Analyst

A Systems Analyst analyzes and designs business systems to improve efficiency and effectiveness. This course may be useful for those wishing to advance their career as a Systems Analyst. The course will help you build a foundation in the principles of systems analysis and design.

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Database Administrator

A Database Administrator (DBA) manages and maintains databases, ensuring their availability, performance, and security. This course may be useful for those wishing to advance their career as a Database Administrator. The course will help you to develop strong analytical and problem-solving skills, as well as a deep understanding of database management systems.

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Quality Assurance Analyst

A Quality Assurance (QA) Analyst tests and evaluates software products to ensure they meet quality standards. This course may be useful for those wishing to advance their career as a Quality Assurance Analyst. The course will help you build a strong foundation in logical thinking, problem-solving, and software testing.

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Product Manager

A Product Manager defines the vision and roadmap for a product, and works with engineers and designers to bring it to life. This course may be useful for those wishing to pursue a career as a Product Manager. The course will help you build a foundation in the principles of product management, as well as logical thinking and problem-solving.

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Project Manager

A Project Manager plans, organizes, and executes projects, ensuring they are completed on time, within budget, and to the required quality. This course may be useful for those wishing to pursue a career as a Project Manager. The course will help you develop strong leadership, communication, and problem-solving skills.

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Consultant

A Consultant provides advice and guidance to organizations on a variety of topics, including business strategy, technology, and operations. This course may be useful for those wishing to pursue a career as a Consultant. The course will help you develop strong analytical and problem-solving skills, as well as a deep understanding of business and technology.

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Researcher

A Researcher conducts original research in a variety of fields, including science, engineering, and social sciences. This course may be useful for those wishing to pursue a career as a Researcher. The course will help you develop strong analytical and problem-solving skills, as well as a deep understanding of research methods.

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