What is required to write a mathematical theory?

In summary, the conversation discusses the process of writing a theory or article about mathematics. It is highlighted that to write a good article, one must have a deep understanding and knowledge of mathematics. The conversation also mentions the importance of reading mathematical papers and suggests that without proper knowledge and education in mathematics, it would be challenging to write an article that would interest professional mathematicians. The conversation ends with a comparison of writing an article about mathematics without proper knowledge to writing about the Vietnamese language without studying it first.
  • #1
Quarlep
257
4
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
 
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  • #2
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.
 
  • #3
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.
 
  • #4
Doug Huffman said:
Logic of Scientific Discovery
Thanks for the book
 
  • #5
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.
 
  • #6
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 ?
 
  • #7
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!
 
  • #8
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

FAQ: What is required to write a mathematical theory?

What is the purpose of writing a mathematical theory?

The purpose of writing a mathematical theory is to provide a systematic and logical explanation of a mathematical concept or phenomenon. It allows for a deeper understanding of the underlying principles and relationships within a particular mathematical topic.

What are the basic components of a mathematical theory?

The basic components of a mathematical theory include axioms, definitions, propositions, and proofs. Axioms serve as the starting point for the theory and are considered to be self-evident truths. Definitions provide clear and precise descriptions of key terms and concepts. Propositions are statements that are to be proven true or false, and proofs are the logical steps used to support the truth of a proposition.

What skills are required to write a mathematical theory?

To write a mathematical theory, one must possess strong analytical and critical thinking skills, as well as a solid understanding of mathematical concepts and principles. Additionally, a good grasp of logic and the ability to construct well-reasoned arguments are essential.

How does one go about writing a mathematical theory?

The process of writing a mathematical theory typically involves identifying the key concepts and relationships within a topic, formulating axioms and definitions, and using logical reasoning to develop propositions and proofs. It is also important to carefully organize and present the information in a clear and coherent manner.

Can anyone write a mathematical theory?

While anyone can attempt to write a mathematical theory, it requires a high level of mathematical knowledge and skill. Writing a successful theory also requires dedication, patience, and the ability to think abstractly. It is a challenging task that requires a significant amount of time and effort.

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