If Bill and Bill* produce phenomenally indistinguishable sense data in Sally, her demonstrative reference to 'these sense data' fails to privilege Bill over Bill* as the referent of her thought.
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referent(what Russell says is the sole meaning of proper names)
The actual thing in the real world that a word points to or stands for—for example, the referent of 'Abraham Lincoln' is the actual historical person.
sense data(Posited as what we directly perceive in place of physical objects)
Mind-dependent objects of immediate perceptual awareness that possess the properties things appear to have (e.g., the elliptical appearance when viewing a round penny)