How to invent a theory?

[hatemalnaggar]

Hello
I want to invent a mathematics theory
I have been trying for several years
But, I can get any result
Can any one tell me about inventing theories?
Are there any resources on the internet?
Thank you very much

[Phi for All]

!

Moderator Note

Moved from The Lounge to Mathematics.

 

I want to invent a mathematics theory
I have been trying for several years
But, I can get any result

 

Can you describe what you've been working on? Theories rely on mathematical models, but usually start out as hypotheses until a lot of review, tests, modeling, more review, and more tests result in NOT refuting the hypothesis. Then we start calling it a theory, when it's as strong and foundationally sound as we can make it.

[ajb]

I want to invent a mathematics theory

 

 

 

Do you mean by mathematics theory a body of knowledge about some specific branch of mathematics? Meaning you want to discover some new area of investigation within mathematics?

 

If so not many people really invent such a thing, a few great mathematicians do this, while most of us work in new things within such a branch.

Edited June 30, 2014 by ajb

[Acme]

It might be useful to differentiate between 'theory' and 'theorem' in regards to mathematics.

 

theory

3. A set of theorems that constitute a systematic view of a branch of mathematics.

theorem

2. Mathematics A proposition that has been or is to be proved on the basis of explicit assumptions

Often times a 'proposition' is referred to as a conjecture. Once a conjecture is proven, it can properly be referred to as a theorem. In practice, this may vary. Properly speaking, Fermat's-last-theorem was just a conjecture until Wiles proved it, even though it was historically referred to as a theorem.

 

With that out of the way, one 'invents' a proposition or conjecture by making some [unique] observation on mathematics that is true insofar as all examples looked at. If one then can prove it, it becomes a theorem.

Edited July 1, 2014 by Acme

[Unity+]

Hello

I want to invent a mathematics theory

I have been trying for several years

But, I can get any result

Can any one tell me about inventing theories?

Are there any resources on the internet?

Thank you very much

Inventing theory involves looking at something from a completely different perspective. Ask questions about everything in Mathematics. Take a look at current theory and see if something new can be developed.

 

EDIT: Also, take a look at unsolved problems in Mathematics. Many new fields of Mathematics are produced from these.

 

http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics

Edited July 1, 2014 by Unity+