How was the concept of "0 (zero)" expressing "none" in the form of a thing and made a big contribution to the development of mankind?

The familiar number "0 (zero)" which is now commonly used in everyday life is only a few hundred years ago that the concept was accepted, and the invention of 0 greatly evolved mathematics and science It is known. What was meaningful to expressing the world of "no" shape with figurines (numbers) is the movie "What is Zero? Getting Something from NothingIt is explained in.

What is Zero? Getting Something from Nothing - with Hannah Fry - YouTube


Can you describe "none" with a formality? Although this is a very important number, it is a story of "0 (zero)" that has not always been counted as "number" since ancient times.


0 has traced a strange fate of going back and forth in human history over a long period of 1500 years.


0 has two roles. One role is as a "sign" representing vacancies.


In the scale notation method, it is necessary to put some number in that order, so it is meaning to use 0 for convenience. Thanks to the 0 indicating the vacancy, we can express the magnitude relation 300> 30> 3.


And the other role shows "nothing" state.


0 serves as a neutral existence, and also serves to separate positive and negative numbers.


0 does not change the number even if it adds or subtracts it, and it has the property that it always becomes 0 if it multiplies.


But division by 0 is not allowed.


Since the number gets enormous if you divide by a small number close to 0 without limit, there was an idea that once you divide by 0 it will be "infinite".


But this is incorrect. Infinity is a concept and not a number. It is not allowed to divide by 0.


Mathematics developed to enumerate things. For example, counting days passed ... ...


I count the number of chickens I got.


Humanity had its own number of systems for each civilization. For exampleBabyloniaThen, by combining two symbols, we were able to express from 1 to 60.


Ancient GreeceAnd Maya also had their own number system developed.


And, although the concept of 0 as a symbol for emptying into any civilization was created ... ...


It is said that it is India that first invented 0 as the number itself expressing nothing without anything.


India represented numbers from 1 to 9 and "0" for "·."


Mathematicians of the seventh centuryBlur MagdaUse the term 0 ... ...


We developed addition, subtraction and multiplication using 0.


However, only division suffered ......


Over the hundreds of years since the era of Brahmaputa, the division of 0 has not resolved and the time has passed.


0 as the number itself born in India spread to China, the Islamic area, the Arabian area.


0 is very convenient for calculation in trade.


However, in the European region the concept of 0 in Indian style was not easily accepted because it is incompatible with the number system established by the Roman Empire.


But in the 13th century Italian mathematiciansFibonacciBy completing the system of Arabic numerals ... ...


Eventually 0 was also incorporated into the European number system.


After that, 400 years is the era of mathematics.


Mathematics is used to explain natural phenomena and physical phenomena, 0 is fully utilized and the human civilization greatly develops.


When it became possible to express from a huge world like the universe to an extremely small world like an atom, the world of 0 was explored by the calculus method, but again, only division by 0 was left as a sanctuary .


0 contributes to humanity as a powerful weapon on mathematics.


And with the arrival of computer age expressed by 0 and 1, 0 is increasingly increasing its presence.


In this way, "0" null "0" has come to be expressed in the form of numbers.