The English letters A E and R can produce “are,” “era,” and “ear,” but “aer” and “rae” are not words. A E and T produce “eat,” “ate,” and “tea,” but no others.
Are they any English words whose letters – all of them, no more no less – can produce more words?
If we’re going to go that route, is “mu” an English word or a Greek word? Because it’s not a Greek word, or at least, not a modern Greek word. Modern Greeks call \mu “mi”. Or, I suppose, \mu\iota.
But the Greek letters (at least, in their classical spellings) show up in most English dictionaries, so I think I’m OK with calling them English words.
If using something as unseemly as the Scrabble Dictionary as your guide, “tae” is a word in addition to already mentioned letters used in math and physics, often for small values.
This is exactly right. Any headword (which are virtually always in boldface) in an English dictionary is an English word. If it wasn’t then they wouldn’t be defining it in an English dictionary.
Note that I’m not saying that all English words are headwords in some dictionary. There are lots of English words that don’t make it into dictionaries.