In Marsigit’s opinion, there are three elementary factors to getting mathematical research. First, you need to references on how to do mathematical research. To find references you can browse in internet. There are many references at there. You should just not to focus in ones author, but you must find it more. Second, the nature mathematics. Mathematics is a science or system which is constructed by deductive method composing definition, axioms and theorems in such a way that there is no contradiction in side. Third, you find out the definitions of mathematics. Formal mathematics of axiomatic mathematics its very easy to construct mathematics system.
There are example of mathematics system, there are :
Grow Theory
Ring Theory
Fied Theory
Numbers Theory
Euclidean Geometry
Non Euclidean Geometry
Number System
The aims of mathematics system is to examine and stabile new system of mathematics. But to reach the aims, there are aspects to be understudied before. There are definition, axioms, theorems, and rule/laws/progdure. Beside it, you must notice the supposing factor, there are:
Your knowledge of mathematics
Your knowledge of the history of mathematics
Your knowledge of the mathematics
Your knowledge of developing mathematics
There are can be do with learning from the history and the philology of mathematics.
Hilbert, a formal mathematics, have statement that, “Just One and Only One System Of Mathematics.” This statement is used for long- long times. But someday, his student can broken-down this statement with “GODEL” Statement. In these theorems, he says that,
You can completing system mathematics, but you can’t do with consistent
You can do consistent in system mathematics, but you can do with complete system.
This mind that you can do more than one system mathematics. To easier understanding, you can look Marsigit’s Opinion Diagram .
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