What is required to write a mathematical theory?

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To write a mathematical theory or article, one must first invest significant time in studying mathematics to understand its language and concepts. Clear communication of proofs is essential, akin to how physicists design experiments to validate their theories. Reading published mathematical papers is recommended to grasp the standards and expectations in the field. Without advanced knowledge, particularly beyond high school mathematics, it is challenging to contribute meaningfully to professional discussions. Ultimately, a solid foundation in mathematics is crucial for writing a credible theory or article.
Quarlep
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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.
 
To write and publish a good article about math, you first have to study math for many years. You will have to learn how to talk and think like a mathematician, so that you can state definitions and prove theorems.
 
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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Likes DrewD and gopher_p

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