Mathematics is called science language. What do we mean in the language, mathematics like English, Spanish or British language?
To answer this question, we will see how the words of mathematics and grammar compile one sentence.
What is the language?
There can be a lot of definition of "Language". Languages may contain some words or signals that are under some rules. It can be said again, a method of communication using words or symbols. World-renowned Linguist Noam Chomsky defines the language as a synthesis of a finite number of elements.
As we can define, we can consider some elements as the characteristics of language characteristics.
There will definitely be a dictionary or a list of words or symbols.
Those words or symbols must have meaning.
Language grammar will be applied. That is, there will be certain rules that will use
the terms used in the language.
Expressions can be expressed or presented through symbols by forming symbols.
It will be possible to present a series
of sentences by presenting sentences through sentences.
And there must be a group of people who understand and use that language.
Looking at mathematics with these conditions, we can see that mathematics is meeting all the requirements. Global math symbol, its meaning, use and grammar are the same. Mathematicians, scientists and others use mathematics to communicate their ideas. As mathematics can describe the real event on one hand, so can the abstract ideas. There is even a branch of math, where itself can describe itself. That branch is Meta-Mathematics.
Please continue to Part-02