Generally, I agree with the linguist. I hear "not hot" as meaning that something is perhaps lukewarm or warm. It could also mean cold if the person speaking somehow expected the object to be hot but found that it wasn't - accentuating the fact that it should be hot and is, in fact, cold.
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Palinkasocsi'Not hot' means 'less than hot' rather than 'cold'.True. My forehead is not hot just now. (I don't have a fever and I haven't been working hard.) But that doesn't mean that my forehead is cold.
PalinkasocsiSo, are you suggesting that 'The soup is not hot' cannot under any circumstances mean that 'The soup is cold'?Exactly, when using the words "hot" and "cold" in their literal senses and considering the full spectrum of temperatures and the usual names for various ranges of temperature.