Why did the world invent mathematics?

Mathematics has a long history. It is thought to have originated in the productive activities of early humans; One of the six arts in ancient China was number, and the word mathematics in the West has a Greek etymology 0 2 0 9 (mathematikós), meaning "the foundation of learning", derived from 0 4 máthema) ("science, knowledge, learning"). Prehistoric humans have tried to use the laws of nature to measure the amount of matter, the length of time and other abstract quantitative relations, such as time, day, season and year.

Arithmetic (addition, subtraction, multiplication, and division) also comes naturally. Ancient steles also confirm the knowledge of geometry at that time. Further, writing or other systems that could record numbers, such as runes or kipp, which were used to store data within the Inca Empire.

There have been many and divergent notation systems throughout history. From the very beginning of the historical era, the main principles of mathematics were formed in order to do tax and other related calculations, to understand the relationship between numbers, to measure land, and to determine astronomical events. These needs can be summarized simply as the mathematical study of quantity, structure, space, and time.

By the 16th century, elementary mathematics such as arithmetic, elementary algebra, and trigonometry were largely complete. In the 17th century, the concept of variables was developed, which led to the study of the interrelationship between quantities and the transformation of graphs in change. In the course of studying classical mechanics, the method of calculus was invented.

With the further development of natural science and technology, set theory and mathematical logic, which were developed to study the foundations of mathematics, also began to develop slowly. Mathematics has been extended since ancient times, and has a rich interaction with science, benefiting both. Mathematics has made many discoveries throughout history, and continues to be discovered to this day.

Mathematics is a logic that is the foundation of other disciplines.

A group of people are idle and bored. Invented!

This is an unexpectedly good question.

My short summary is that certain relationships expressed in sock macros and mathematics exist and will be discovered by humans through the ages. The "language" used to describe this, as well as the technology that could be used to solve practical and intellectual problems, were invented.

Many aspects of mathematics, or numbers, are universal.

These 20,000-year-old "counting sticks" are used to "count" items.

With the development of "civilization" about 6,000 years ago, it became necessary to use this Bilen system to register larger numbers, such as goods.

The Babylonian merchant understood 3 deliveries of 2 items as the same as a single transaction of 6 items.

In fact, they will find out. The way they record it is something they invented.

The Greek mathematician Pythagoras discovered that for a right triangle, "the square on the hypotenuse is equal to the sum of the squares of the other two sides".

The existence of this relationship has nothing to do with the invention of the number system or mathematics.

What Pythagoras invented was a way to describe this relationship and a technique to use it to solve problems.

Mathematics is invented.

Mathematics (Hanyu pinyin: shù xué; Greek: English:

mathematics or maths), derived from the ancient Greek máthēma), which means learning, learning, science. Ancient Greek scholars regarded it as the starting point of philosophy, "the foundation of learning".

In addition, there is a narrower and more technical meaning - "mathematical research". Even within its etymology, its adjective meaning, which is related to learning, is used for exponential purposes.

Mathematics originated in the early production activities of human beings, and the ancient Babylonians had accumulated a certain amount of mathematical knowledge since ancient times and could apply practical problems. From the perspective of mathematics itself, their mathematical knowledge is only obtained through observation and experience, and there is no comprehensive conclusion and proof, but it is also necessary to fully affirm their contributions to mathematics.

The knowledge and application of basic mathematics is an integral part of individual and group life. The refinement of its basic concepts can be seen in ancient mathematical texts in ancient Egypt, Mesopotamia, and ancient India. Since then, there has been a steady stream of development.

But algebra and geometry at that time remained independent for a long time.

Mathematics did not suddenly take full shape from the head of Zeus. It has evolved over the course of thousands of years through the contributions of many people in many cultures.

The earliest form of mathematics is abstract counting, which developed from concrete counting in prehistoric times.

Archaeological evidence suggests that when agriculture-based civilizations emerged, the need to track harvested goods led to the use of specific tokens representing certain goods. For example, a symbol of a certain shape represents a bushel of barley. A token of different shapes represents a bag of grain, and so on.

These concrete markings were later replaced by signs drawn on clay slabs with a stylus. Each type of object still has its own symbol, and counting simply repeats the symbol, corresponding to the object one-to-one. For example, counting four barrels of oil, ten bushels of barley, and two pieces of clothing might look something like this:

Since different markings are used for different amounts of barley grains, a key step towards abstract numbers is taken: a bowl, a container (10 bowls) and a bushel (6 containers or 60 bowls) have different markings. So, if a person has 67 bowls of barley, instead of repeating the symbol of the bowl 67 times, it is better to write the quantity more compactly as a bushel, a vessel, and a bowl.

For the convenience of all types of objects, these symbols of barley units of different sizes are abstracted from the concrete association with barley and become abstract numbers and symbols of 60, which can be counted for any type of object. Once this leap of abstraction took place, the numbers themselves could be vertical, independent of any connection to the objects they might represent, thus laying the groundwork for the birth of arithmetic. The rest, as they say, is history.