Write a Paper: Is Environment "Fact" OK?

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SUMMARY

The discussion centers on the appropriateness of using the term "Fact" in academic writing, particularly in mathematical papers. Participants agree that using "Fact" is acceptable if the statement is true. However, they suggest alternatives such as "Corollary," "Proposition," or "Lemma" depending on the context and the need for supporting arguments. The consensus emphasizes clarity and precision in terminology to enhance the rigor of academic discourse.

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  • Understanding of mathematical terminology such as "Corollary," "Proposition," and "Lemma."
  • Familiarity with academic writing standards in mathematics.
  • Knowledge of logical argumentation and proof structures.
  • Experience in writing and reviewing mathematical papers.
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  • Research the differences between "Corollary," "Proposition," and "Lemma" in mathematical writing.
  • Study best practices for academic writing in mathematics.
  • Explore resources on logical argumentation in mathematical proofs.
  • Review examples of well-structured mathematical papers for terminology usage.
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Mathematicians, academic writers, and students involved in writing or reviewing mathematical papers who seek to enhance their understanding of terminology and structure in academic discourse.

wrobel
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Stupid question. Is that possible form the style and language viewpoint to write such things in the article:
Screenshot from 2020-11-24 12-13-56.png

is the environment "Fact" ok?
 
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wrobel said:
is the environment "Fact" ok?
Yes, I don't see anything wrong with a "Fact" environment in a mathematical paper, provided the statement is true. :wink:

If it follows from a previous result, I would prefer "Corollary". If it does need a small argument, maybe I would prefer "Proposition" or "Lemma", depending on future use.
 
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thank you
 
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