Update 1: to. QQ(004) You mean that "human beings" discovered "mathematical principles" and thus "invented" mathematics. So mathematics is an' invention'. "

The laws of nature are realized through human life.

And was "discovered"

Mathematics was invented by human beings.

Use mathematics to concretely express human's understanding of natural laws.

Just as human beings invented language.

Through language and writing

Humans can communicate with each other.

the difference is

Language is based on deepening of human knowledge.

So as to establish identification

Mathematics is "discovered" by human cognition of natural laws.

And was "invented"

therefore

Mathematics is "invented" by human beings from "discovery"

2010-11-04 22: 35: 45 Supplement: Metaphorically, the laws of nature have a cold and hot feeling for human beings.

Hot and cold in nature

Has nothing to do with the value itself.

Not math.

But with "invented" mathematics,

To define the different degrees of hot and cold.

For example, 0 degrees

10 degree

20 degrees

etc

such

Mathematics itself is "invented" by mankind.

By inventing mathematics

As a tool to define the laws of nature.

2010-11-0423:1:12 supplement: human beings have found that natural laws have their regular changes.

Instead of discovering mathematical principles.

Mathematical principles are discovered by human beings through natural laws.

Was invented.

The laws of nature do not change regularly.

Where is the mathematical principle? Mathematics is just a "tool" invented by human beings.

Not natural law itself.

For example, when you see something in the world,

You will know how to call it "apple"

Even if you don't know this thing is called an apple.

This thing in the world won't exist because you don't know how to call it.

therefore

Man invented the word "apple"

Because it defines this thing in the world.

As a communication tool

2010-11-0423:1:41Supplement: Mathematics is the same. The laws of nature will not be because you don't know math.

There is no rule.

Just like hot and cold changes.

Not because you don't know 10 degrees.

20 degrees

30 degrees

Waiting value

there will be no changes.

Humans invented numerical values.

10 degree

20 degrees

30 degrees

And so on to define the degree of cold and hot changes.

Expressed in numerical values.

It is the so-called mathematical principle.

2010-11-0612: 28: 55 Supplement: Give another example to illustrate that mathematics is the discovery of natural phenomena by human beings.

Through "invention"

When we open our eyes

We will "discover" that things in the world are of different sizes.

The size of things

This has nothing to do with mathematics.

It is we who invented the tool of mathematics.

To achieve the purpose of measuring things

1 mm

1CM

What is this?

What about the length scale? 1G

1 kg

What is weighing scale? 1 sec

1 min

What time scale is it now? When we "discover" the phenomenon of time passing.

We "invented" 1 sec.

1 point

1 hour

And so on to divide the time scale.

With the data

And the so-called mathematical principle.

2010-11-0612: 29: 06 supplement: the rectangular area is: length times width.

This is a mathematical principle.

If there is no long and wide scale (numerical value)

Mathematical principle of length multiplied by width

Become meaningless.

Only by numerical values

In order to realize the operation of mathematical principles

finished

Suppose there is a rectangle 3 cm long.

5 cm wide

We can apply mathematical principles.

The area of the rectangle is 15CM.

We will ask: How long is 1CM? What is the solution of 1CM? This is scale.

Not a scale like that, but a scale like 1CM.

It was invented by human beings.

Humans have defined 1CM, which is the scale.

It also defines 1M= 100CM.

These are all "invented" by human beings.

As a "tool" to measure the size of things.

Okay, okay, okay, okay.

The whole formula mathematics = food people find food = people find mathematics ... 1 people invent food = people invent mathematics ... 2 food = people live ... 3 food is earlier than people ... 4 according to 4, so food = 1, not 2, so 2, so 65438+ doesn't hold water.

Mathematical principles have a long history and are the basis for the creator to create this world. We, creatures, with the accumulated experience in life, gradually understand the above principles and create mathematical theories, thinking that we are good. But it's good to be able to do something, just like the creator. Therefore, the department of mathematics was discovered by human beings and never invented by human beings.

natural law

It has existed since ancient times

People find out. Symbolic description

Call it learning.

The invention of mankind.

It is right that man has "discovered" the principle of mathematics. It is always uncomfortable to say that human beings "invented" mathematics. It is better to say that human beings "created" or "established" the subject of mathematics.

The discovery of the department of mathematics is more reasonable than the invention, but the invention of the department of mathematics is not wrong. Because it is related to the basic point of view of mathematics, it seems too rash to simply judge one side. Steam train is an invention, but it is produced by the combination of steam power generation principle and mechanical principle. Inventions are all made up of parts, and the continuous division and pursuit of parts are all produced by simple discoveries. If discovery is a part, then invention is a new whole created by the integration and transformation of all parts. The inventor discovered this "possibility under the cooperation of various principles" and invented this thing. The difference between invention and discovery is that invention is not inevitable; Invention is more subjective. And discovery is the existence of the object. 2010-11-0619: 31:07 Supplement: The reason why the upstairs supports the invention of the department of mathematics is that it needs language to discuss mathematics, and mathematics belongs to the later artificial language set, so it belongs to the invention; For example, the knot notes mentioned above. As for mathematics, it is the dynamic system of discovery and the object of human thinking outside the mathematics department. It is not affected by individual will, and the status system is equivalent to logic. The former invented hypothetical language, while the latter found it in its pure form. If it is a department, it is obviously more reasonable to find it in mathematics, because the mathematics language department uses Li Lai to describe abstract mathematical principles; Its pure form is unspeakable, so it can only be displayed in mathematical language. The principle of sample-Lebanon system predates artificial language. As for four bananas equal to a fish, in fact, the existence of natural numbers has been presupposed, and the number of successors of a natural number is greater than itself, that is, 3 >; 2, 4 >3 and so on. It's just that primitive people didn't have a suitable symbol system to express it, but they already had an intuitive understanding of natural numbers. The record of temperature has nothing to do with mathematics, but a more intuitive digital expression. The real significance of the invention of the Department of Mathematics should be: Is it possible to have a world without mathematics? Is mathematics not like the inevitability of logical existence, but only belongs to several worlds ... It is produced to facilitate the solution and communication of some problems. Its greatness is accidental.

This time, I became an official ... I think the Department of Mathematics was invented by humans ... I think ... before humans understood the principles of mathematics, they knew how to barter ... for example, a primitive man caught a bunch of bananas (A).

I want to trade bananas for another primitive man (b) for a fish ... A holds a banana and tells B what to do, which means I want the other person to eat a fish ... B doesn't want to go ... Only add one banana at a time until I add four bananas.

When both parties are willing, the transaction is successful.

Once again, among the things that happened or were discovered later ... for example, I just learned before ... it was too cold > a little cold ... a little cold > it was cold > a little hot > how hot it was > very hot, and so on. When humans know how to detect temperature, set the standard of temperature by mathematics.

Let's understand how home is .. 2010-1-06 23: 38: 09 Supplement: Indeed, those two savages really should have the concept of left number ... but before making a deal ... this concept alone should be awkward. Above 38+0 ... (the limit can only be regarded as the concept of the remaining number ... there is no formula ...) But we don't know how many bananas, such as 1 fish, have a left formula until the local transaction. (four bananas, such as 1 fish ... if there is a left standard, how many fish can we convert into? (and these four bananas, like a fish, also depend on the knowledge of the parties. It is not inevitable that you can have more or less. Indeed, it is only the left expression and application of the method of creating or inventing this concept ... This method is called mathematics ... 2010-11-0623: 58:17 Supplement: I also want to explain one thing ... any existing invention. Anyway, mathematics is within the logic. It is often said that 1+ 1=2 is well known. As long as you tell me, you will know that the existing logic of the Department of Mathematics is good. You can see everyone's methods.

Appreciate learning a lot.

A more reasonable statement is to invent first and then discover. People in ancient times: taking notes is a method used by people before the invention of writing. That is, tie a knot on the rope to commemorate it. Photo reference: imgsrc.baidu/baike/abbic/item/b87985500507f 3718435247d There were no characters in ancient times, so tie a rope to remember. "Easy. Cohesion: "In ancient times, there was a method of tying ropes, and later sages changed it into a book contract." Confucius said, "Zheng Kangcheng, people tied the rope and put a note on the cloud. If this matter is tied up, this matter will be summarized. " Jin Gehong's "Bao Puzi Shi Jun": "If the boat and the garage can't work, the pen and ink will become knotted, and the latter is better than the former." Later refers to ancient times. For example, kipu (or khipu) is a method used by ancient Incas to tie records with ropes to count or record history. It is made up of many knots of different colors. This method of knotting sounds has been lost, and no one can understand its full meaning yet. Knot notes (counting): a recording method initiated by primitive society to reflect objective economic activities and their quantitative relations in the form of knots. Knotting notes (counting) is one of the recording methods widely used by primitive ancestors. Literature records: "In ancient times, there was a rule of knot, and later there were sages who used books easily, and hundreds of officials could rule, and everyone could observe" (Yi Ci Xia). Although the knotted objects left by primitive ancestors have not been found yet, the net pattern in primitive social paintings, the rope pattern on pottery and the net drop of pottery all show that the net of ancestors was the main condition for fishing and hunting at that time. So there was an objective basis for taking knot notes (counting) as a recording method at that time. According to ancient books, the method of tying rope is: "tying rope for big events;" Small things, sum up their ropes, and the number depends on many things "(19 Yan Jia), that is, according to the nature, scale or quantity of the events involved, different knots are made. Ethnological data show that some ethnic minorities still record objective activities by knotting in modern times. Today, no one keeps records in this way. However, for ancient people, these knots were the only clues they used to recall the past. Reference source: baike.baidu/view/129396, because there is no written record, it will make future generations mistakenly think that mathematics was invented by foreigners! Through knotting, ancient magic, divination, etc. Is the predecessor of mathematics. So mathematics was invented first and then discovered. Thanks ~! 2010-11-08 23: 02: 45 Supplement: "Asking questions is an invention and discovery". As a result, everyone is fooling around somewhere else. Invention equals creation. Found that it already existed and was not seen. For example, this big tree has been decayed for a long time, and now it is discovered!

Reference: Note-taking/Mathematics Source

The bloodline was discovered.

Mathematics has existed for a long time.

But everyone knows my sister. Just like Edison.

He invented the lamp and found it. The terrier was invented.

Did you find Aladdin's magic lamp? In the past, people used fire for lighting.

Didi invented the lamp.

I hope you understand =]]]

Mathematics was not invented. It was discovered because mathematics existed from the beginning. I just didn't find it. Basically, many people will hate who invented this subject. But it's hard to live without math in life. Mathematics is a natural thing. No one invented this kind of thing. Everything in daily life needs addition, subtraction, multiplication and division. Those are math. But in the past, there were no friends. When we use numbers, we always use local materials, such as stones or branches. After Indians invented numbers, they were widely circulated by people. Therefore, the numbers we use are geniuses who light up the mathematical lighthouse with * * * numbers (probably these people invented many formulas ~ ~ which is also mathematics), mathematicians, scientists, inventors and founders of theoretical mechanics in ancient Greece, and they come from practical experience. In his brilliant mathematical career, Yakimi Mead took a big step forward from Euclid's mathematical era. Akmid was born in Syracuse, Sicily and died in the same place. It is said that he is the son of a celestial writer, and he has been interested in studying the universe since he was a child. I went to Egypt to study in my early years and studied with Euclid's students in Alexandria, the cultural center at that time. Naturally, I was influenced by Euclid. After returning to China, he devoted himself to mathematical research and became a great mathematician in Alexandria. Later generations spoke highly of Yakimid, ranking him alongside Newton and Gauss as the three greatest mathematicians in history. Yakimi's life is not recorded in detail, but many interesting deeds and achievements about him are widely circulated and are still talked about by many people: (1) He invented the spiral waterwheel, which is still used for irrigation in rural Egypt. The discovery of hydrostatics is that in order to determine the purity of gold in the crown, he discovered Jacqueline's buoyancy theorem when taking a bath: that is, the buoyancy of an object in liquid is equal to the weight of the liquid displaced by the object. In mechanics, he first discovered the law of lever. Legend has it that King Yero at that time built a luxurious ship for King Ptolemy, but it was impossible to launch the ceremony. Yakimi used the lever principle to make a machine that can be operated by one person, so the ship was launched under the personal operation of King Yero. Archimedes once joked, "If you give me a foothold, I can move the earth". 〈 4 〉 Archimedes made many weapons to defend the city by using the lever principle he discovered, and kept the invading Roman army outside Syracuse for three years. It is said that he also made a convex mirror to concentrate sunlight and burn Roman warships. Yakimi Mead's greatest contribution to mathematics is the study of geometry. The mathematical works handed down from ancient times mainly include the following: 1. In the article "Determination of a Circle", the area of a circle is thoroughly analyzed, and the perimeters of 96 polygons inscribed and circumscribed with the circle are calculated, and the pi is obtained. 2. On Sphere and Cylinder is his proud masterpiece: Yakimi Mead determined the volume and surface area of sphere and related geometry with his almost superhuman wisdom; How to solve the problem equivalent to cubic equation: x 2 (a-x) = b 2c? Third, "On Spiral" Yakimi Mead proved the problem of angle bisection and Fiona Fang with the spiral he invented. Fourth, "Parabolic graphic method for finding area" He used the exhaustive method to find the area of an arch surrounded by a parabola and any string. V. "On Split Cone and Rotating Ellipsoid" This is to study the revolving bodies of several conic curves and the volumes of these solids cut by planes. Jacmy's brilliant achievements in mathematics have been unmatched for thousands of years. It was not until the development of calculus in the 17th century that people's understanding of solid volume and surface area surpassed Jacqueline's principle. Finally, we quote Voltaire's appropriately high evaluation of this great mathematician's achievements: "Yakimi is more imaginative than Homer". Digital symbols were invented by ancient Indians, and later spread to * * *, and then from * * * to Europe. Europeans mistakenly think that it was invented by * * * people, so they call it "* * * numbers". Because it has been circulating for a long time, people call it sleek, so they call it * * * when they make mistakes. Today, the number * * * has become a universal digital symbol all over the world.

Reference:. qid=7006073 10225 1

Department of Mathematics: Man has discovered the existing things.