I have a grammar question the internet has thus far seemed unable or unwilling to answer. When an article ("a," "an," or "the") appears in the middle of a *business* name, should its first letter be capitalized? I'm aware that it should not in the titles of things like books and articles, but does this rule apply to business names as well? It's fairly important, as the business I want to start is a proofreading/copyediting service.
Like "Pop The Cork," or "Jump the Gun."
This has nothing at all to do with rules of grammar, Sarah. It's all a matter of style which is definitely not determined by grammar rules. We know this because different organizations, NYTimes, Reuters, engineering groups, etc. all have different style manuals.
I'd say that it's your call. After all a name is a name and names are capitalized.
Better, in your business, to not keep advancing all the spurious prescriptions that many of these style manuals have been advancing for years.