 Is there just one proper name “Alice” or are there many homonyms, one for each person or thing so named? It is tempting to infer the uniqueness of the name, on syntactic grounds, from the uniqueness of the proper noun. Arguably the same noun recurs in the different names “Alice Waters” and “Alice Walker”, as well as in the phrase “two famous Alices” (though see Sainsbury 2015 and Gray 2015 on the latter). And if the name “Alice” is a complex expression built up from a unique noun, then presumably there should be only one such expression built up in that particular way.