In the 21st century, language will definitely become one of the most important theme and target of mathematics for us all

In the 21st century, language will definitely become one of the most important theme and target of mathematics for us all

TANAKA Akio

The main reasons are the following.

 

1.Language is the most convenient tool for human being.

2.Language has the vast variations in natural language and technical language. 

3.Natural language has speech language, written language and their recorded language, for example books, records, CD and so on.

4.Technical language has many computer languages and their related devices.

5.At natural language, there exists many meanings not to confirm clear definitions, for example finite,infinite, discrete, continuity, universal and super. 

6.Technical language has naturally defines the meanings by its discrete arithmetical basic using of discreteness.

7.Mathematics is probably belonged to natural language, that uses speech and written language by usual conversations and papers or books. 

8.But mathematics can clearly define the meaning through a few axioms and derived theorems. for example boundary, continuity, distance, finite, infinite and space.

9.Mathematics has many strong tools for description, for example mapping, projection and identification.

10.Mathematics has solid structure through long historical verifications from ancient Greece.