User blog comment:Vel!/FGH Gripe/@comment-30118230-20170220112412/@comment-1605058-20170220145823

"In what way is bounding functions a crime?" The issue is not about bounding functions. It's about making imprecise claims which have no specific meaning to them. If you provide an actual bound (like "\(\text{my function}(n)>f_{\alpha}(n)\) for all \(\alpha<\varepsilon_0\) and large \(n\)"), this is not only valid, but (in my opinion) an actually interesting claim, especially if one can prove it.