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The problem arises from treating nobody as a singular term, one that must refer to some thing in this case to a mysterious being that does not exist.
Crucially, since the present King of France does not function as a singular term in the analysis, no referent for it is required to make the description or the sentence meaningful.
We study the convergence of a sequence of distributions SH to a singular term S as a parameter H (associated with the support size of SH) shrinks to zero.
So, a singular term is defined via a singular term; a general term via a general term; a sentence via a sentence; and so on.
If this intuition is taken seriously, then a mass noun isn't a singular term.
The expression 'my dog', according to Frege, is a singular term.
Sometimes a variable is used as a singular term to denote a specific, but unspecified (or arbitrary) object.
Now, any sentence that this operator embeds has to be analyzed in Russellian terms if it contains a singular term.
Some theorists, for instance, hold that 'you' is not a singular term that refers to an individual in a context.
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The answer will depend on what is required for a mathematical singular term to have a semantic value.
The answer is that a definite description, under Russell's theory, is not a genuine singular term; it is not even a meaningful unit.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com