For example,
is a statement about the substance cheese, while
is a statement about the word cheese.
Putting a statement in quotation marks and attributing it to its originator is a useful way of turning a disputed statement about a subject into an undisputed statement about another statement.
Making a statement mention itself is an interesting way of producing logical paradoxes. There are many examples of this phenomenon in the works of Douglas Hofstadter.
In journalism, the use-mention distinction is often used when reporting on scandals. Rather than saying "Jeffrey Archer is a crook", an article might say "There have been allegations that Jeffrey Archer is a crook". Or, more concisely, "Jeffrey Archer is allegedly a crook". Journalists claim to be reporting allegations, rather than making allegations.
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