1. Axiom and Mathematical Basis
Axiom refers to a proposition or principle that is assumed to be true without proof. Axioms in mathematics can be regarded as the most basic truth, such as Euclid axiom in geometry and ZFC axiom set theory in set theory. The existence of axioms enables mathematics to establish a strict logical system, thus realizing the accurate description and proof of mathematics.
2. Axiom and reasoning
Axiom is the basis of mathematical reasoning. We usually take axioms as the premise, use prescribed reasoning methods to deduce and draw conclusions. This kind of deduction is also called deduction, which can make the mathematical conclusion deterministic and reliable.
3. Development of axioms
The development of axioms began in ancient Greece, but ancient Greek mathematicians did not define axioms as strictly as they do today. The earliest axiomatic method appeared in17th century, such as Cartesian coordinate system. With the passage of time, axiomatic method has been paid more and more attention, and will gradually become the mainstream method of mathematical research.
4. Axiom and application
Axiom is not only useful in pure mathematics, but also widely used in physics, computer science and other scientific fields. In physics, axioms can be used to describe the basic laws of nature, such as the law of conservation of mass and energy. In computer science, axioms are used to describe the correctness and reliability of computer programs.
Axiom is an important foundation of mathematical research, which provides an accurate logic system and proof method for mathematics, and also promotes the development of mathematical research.
Mathematical logic thinking ability is as follows:
It is generally believed that logical thinking ability is closely related to mathematics, and people with strong logical thinking ability are more likely to learn mathematics and other subjects. In fact, logical thinking ability is also very helpful to learn other subjects well. People with strong logical thinking ability will think clearly, not only pay attention to the phenomenon of things, but also have a deeper view of the nature of the problem, and their thinking methods will become more rigorous.
In the process of learning, good learning methods can produce twice the result with half the effort, so it is particularly important to master good learning thinking methods. Therefore, in the teaching process, Modehaba math teacher will cultivate children's mathematical logical thinking ability through various board games, so that children can master logical thinking methods and haba's powerful logical thinking ability, which will be beneficial to the study of other disciplines.