What is required to write a mathematical theory?

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I want to write to theory about math but I don't have enough information about writing process.What can I do to write correct theory or article.
I use theory and article in same meanings.
Example a physicist makes experiments to proof his theory.Whats a mathematician do to proof his theory ?

Thanks
 
Mathematics news on Phys.org
The physicist that would prove a theory by experimental observation must design a very clear experiment. Similarly, the mathematician must write out his proof so clearly that the skeptical observer is instantly convinced.

Karl Popper, in his Logic of Scientific Discovery, suggests that surprise is a powerful argument, albeit for validation or falsification.
 
Doug Huffman said:
Logic of Scientific Discovery
Thanks for the book
 
As a first step, read mathematical papers as published in math journals. Some, but not all, public libraries will carry some math journals. University libraries typically carry a large number.
 
I am 17 years old and I want to write an article but I think it is not easy as I think.Can I write an artice without college knowladge ?
 
An article on what? You certainly are not likely to be able to write a mathematics article that would be of particular interest of professional mathematicians with only knowledge of high school mathematics!
 
Quarlep said:
I am 17 years old and I want to write an article but I think it is not easy as I think.Can I write an artice without college knowladge ?
Would you be able to write an article about the Vietnamese language, in Vietnamese, for educated Vietnamese people, without first studying Vietnamese? It would be much more difficult than that.
 
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