“Cyberquill”, “fern” was correct: The “i” in “naïve” is /called/ a dieresis. Though the dieresis and umlaut could be /described/ as a double tittle, that would be a non-standard name, which would tend to interfere with successful communication. (Ya, I do that “alot”.)
Junoesque, your comment is similarly mistaken (but less so). The “dieresis” and “umlaut”(¨, ISO 8859-1 0168) share the same form but are distinct in function, like one of the differences between a “dash” and a “hyphen”. (The hyphen is a connector, browse/hyphen, but the dash[13] is a separator, browse/dash, regardless whether the same or a different character is used: 45, 0150 or 0151 in Windows-1252.) The dieresis serves to avoid orthographic (spelling) ambiguity amongst two letters, while the umlaut serves to mark a phonetic and phonemic change in the symbolism of one letter which the orthography otherwise would not reveal.
Specifically, the dieresis, like a short dash (-), serves to separate /two abutting letters/, to mark them as not a digraph, browse/digraph, to mark them as pronounced individually. In the cited example, naïve is pronounced /naiv/ in French (four phonemes), but naive /would/ be pronounced as /nɛv/ (three phonemes). (The French /ɛ/ is pronounced somewhat like the letter “e” in the English word “never”, but the tongue position is not centralized, as the English “e” is somewhat.) If the dieresis were not used, then a short dash (-) would be used to serve the same function. (One archaic spelling of the English word “cooperate” is “coöperate”; like “co-operate”, it serves to teach the correct pronunciation—not /kuˡɒpɚet/! It’s “too bad” that the English word “dieresis” itself may not be spelled “diëresis” to teach its pronunciation.)
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