LaTeX provides seven sectioning commands:
\part\chapter\section\subsection\subsubsection\paragraph\subparagraph.
For most of the documents I write or come across, \subsubsection seems to be the deepest sectioning level used. Then there's the "rule" (by Tufte perhaps? I am unable to find the source right now) that suggests that the document outline should not be deeper than three levels, which would leave me somewhere between \subsection and \subsubsection depending on the document class being used. At any rate, I have not yet come across a use case for \paragraph and, thinking about it, I realize I don't know when it would be appropriate to use it. So, that's my question: when, if ever, should \paragraph be used?

\paragraphonce in a proposal, but only because I could "safely" redefine it. – Ali Mehrizi Jun 25 '12 at 17:30\paragraphand possibly (much) deeper. – barbara beeton Jun 25 '12 at 17:45\paragraphis also a quick and dirty inline section which I sometimes use for small documents where space is at a premium, like one page abstracts for conferences, where some structure is needed, but you don't need to number everything. – Alan Munn Jun 25 '12 at 17:49\paragraphis "less visible" than some\sub...sections, so might be useful (especially in its unnumbered version). – mbork Jun 25 '12 at 19:44