Mathematical Logic and Algorithms Theory (iversity)

The goals of mathematical logic are:

- To provide a formal language for mathematical statements that is easily translatable into the natural language and that allows compact and convenient notation.

- To offer clear and unambiguous interpretation of such statements that is at the same time simple and close to the natural mathematical concepts.

We made sure to make this course informative and interesting for everyone!

Upon completion of the course, students will have acquired fundamental knowledge that is valuable in itself and will serve as the foundation for other studies. For example, software engineers strongly rely on logic-mathematical theories in their work.

• Natural languages possess a number of flaws - inaccuracy, polysemy, complexity.

• Knowledge of the simple yet powerful methods of mathematical statement transformations made possible by the language of logic is just as vital as is the knowledge of elementary algebra. No need to reinvent the wheel.

• Invented almost a century ago to address the needs of mathematics, mathematical logic has found application in theoretical and practical programming.

• When dealing with applied problems, a researcher has to switch between the descriptive language, mathematical language, the language of numerical methods and algorithms, and specific programming languages. The language of mathematical logic offers a great opportunity to practice this translation between languages and is used as a powerful formalised tool for transmission of information between distant languages.