Mr. Marsigit Opinion
You need references on How to do mathematics research.
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The nature of mathematics
There are many definites
You find out the definations of mathematics
Mathematics is science on system. Which is constructure by deductive method composing definite, axions and theorems in such a way that there is no contradictions in side.
Formal mathematics of axiomatics mathematics.
It is very easy to constructure mathematics system.
Let X₁, X₂, X₃, ..........are real members that fulful following characteristics.
The examples of mathematics system :
1.Group theory
2.Ring theory
3.Field theory
4.Number theory
5.Euclidean Geometry
6.Non-Euclidean geometry
7. Number system
Is to examinated, establish new sistem of mathematics.
Aspects :
Definition
Axioms
Theorems
Rule/Law?procedure
The supporting factors :
Your knowledge of mathematics
Your knowledge of the history of mathematics.
Your knowledge of the mathematicians.
Your experiences of developing mathematics facultatif.
The philosopy of mathematics
Learning from the history and philosophy of mathematics.
Theorem godel : complete system of mathematics ( Not consistent ) and consisten system of mathematics ( Not complete ).
Hilbert
Formal mathematics (SATU DAN HANYA SATU SISTEM MATEMATIKA)
The steps of mathematic research
1.Indepth study references
2.Identify and formula the problems
3.Develope method of research
4.Process of research
5.Finding
6.Publish
7.Journal.
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