In speaking of propositions, not buildings, are premise and premiss variant spellings of the same word, or are they different terms with different usages? The American Heritage Dictionary (3/e) gives premise as the main entry, with premiss as a variant spelling, which I've assumed was British. But one internet source asserts that premiss is preferable because of its etymology; another suggests that premiss is always the correct term in logic.
Learn English – Difference between “premiss” and “premise”
meaningword-choice
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Best Answer
The OED has premiss only as a variant spelling of premise, and has a note "In Logic still freq. in form premiss, but in general use now usu. in form premise. (I can't find a date on the entry, but it includes a citation from 2000) "