The three main mathematical definitions are called logicians, intuitionists and formalists, each of which reflects a different school of philosophical thought. Everyone has serious problems, and no one generally accepts them.
A Brief History of Western Mathematics with Extended Information
The evolution of mathematics can be regarded as the continuous development of abstraction and the extension of subject matter. Eastern and western cultures have also adopted different angles. European civilization developed geometry, and China developed arithmetic.
The first abstract concept is probably number (China's arithmetic), and its cognition that two apples and two oranges have something in common is a great breakthrough in human thought. Besides knowing how to calculate the number of actual objects, prehistoric humans also knew how to calculate the number of abstract concepts, such as time-date, season and year.
Arithmetic (addition, subtraction, multiplication and division) will naturally occur. In addition, you need writing or other systems that can record numbers, such as Mu Fu or chips used by the Incas. There are many different counting systems in history.
In ancient times, the main principles in mathematics were the study of astronomy, the rational distribution of land and grain, taxation and trade. Mathematics is formed to understand the relationship between numbers, measure land and predict astronomical events. These needs can be simply summarized as the study of quantity, structure, space and time in mathematics.
Western Europe experienced the Renaissance from ancient Greece to16th century, and elementary mathematics such as elementary algebra and trigonometry were basically complete. But the concept of limit has not yet appeared.
/kloc-the emergence of the concept of European variables in the 0/7th century made people begin to study the relationship between the quantity of change and the mutual transformation between graphs. In the process of establishing classical mechanics, the method of combining calculus with geometric accuracy was invented. With the further development of natural science and technology, the fields of set theory, mathematical logic and so on, which are produced for studying the basis of mathematics, have also begun to develop slowly.
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