A representation is singular if its reference is fixed by the object itself rather than by satisfaction of descriptive conditions, regardless of how many objects satisfy those conditions.

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Singular reference(the main concept being explained): When a word or name picks out one specific thing in the world—like how the name 'Barack Obama' refers to one particular person, rather than a general category.
descriptive conditions(philosophy of language and logic): A set of features or characteristics that define what something is or how we identify it—like describing a person by their height, hair color, and age.
reference(Distinguished from intension in the context of possible worlds semantics): The actual-world referent of an expression; what the expression picks out in the actual world.
representation(Schopenhauer's Kantian framework; the empirical/phenomenal side of reality): The world as it appears to a knowing subject; objects as they are given through the subject's cognitive forms

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