Knot in mathematics refers to the logical relationship between a group of known propositions in a mathematical system. In other words, these propositions can be closely deduced and related conclusions can be drawn. Knots in mathematics are widely used. For example, in mathematical physics, computer science, finance and other fields, the concept of knot plays an important role.

Knot in mathematics can also refer to the construction of mathematical theory itself. In the study of mathematics, mathematicians will establish a mathematical structure system through reasoning, proof, induction and other methods. These structures can describe problems in different fields and provide solutions. For example, algebra, probability theory and calculus are all important structural systems in mathematics.

Knots in mathematics can also refer to some symbolic expressions. In mathematics, mathematicians will use specific symbols, formulas and terms to express and describe some mathematical concepts. This symbolic way can make mathematics concise and easy to communicate and popularize research results. There are specific symbolic expressions in various disciplines, and these symbolic expressions also constitute an important part of the knowledge system of these disciplines.