Rigid designation, existence and semantics for quantified modal logic

Abstract
In an English article (‘On Expressions’) Professor Shen Youding writes, ‘the meaning of a name is not the object which is mentioned by means of it’ (Shen 1992: 11). This remark touches on a big issue that has divided contemporary philosophers of language. On the one side is the Millian (after J.S. Mill), who maintains that the semantic value of a name is the object which it designates, denotes, or refers to (as I use them here, these three terms are interchangeable). [1] On the other side is the Fregean (after Gottlob Frege), who thinks that a name has a sense in addition to a reference. [2] Though Professor Sheng’s remark is too brief for us to claim that he would have been prepared to endorse the Fregean idea, it is clear that he was not a Millian.
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