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Re:Math writing is dull when it neglects the human dimension by humansareok1 on Friday March 29, 2024 @09:59AM (#39864186)
>whose main theorem is given at the most general possible level with no applications at all.

Outside of Applied Math why would this be an expectation at all?

Re:Math writing is dull when it neglects the human dimension by GTP on Friday March 29, 2024 @10:10AM (#39864324)
Maybe OP means "application to a concrete example" to help the reader understand. If a paper is presenting a theorm, seeing it applied to an example could actually help.
Re:Math writing is dull when it neglects the human dimension by mycologos on Friday March 29, 2024 @10:30AM (#39864541)
Yup. I don't mean "here's how you can use my theorem to build a bridge", I mean "here's an instantiation used to prove a more tangible result". Bonus points if multiple such results fall out of the general theorem. That's good evidence to me that generality is actually accomplishing something.
Re:Math writing is dull when it neglects the human dimension by lupire on Friday March 29, 2024 @11:15AM (#39865075)
Because it's an expository paper, not a reference manual. Applications help communicate and create understanding.