On an intensional conception of concepts (Frege's own Begriffe), distinct concepts with identical extensions remain distinct objects, leaving the direction of correlation from concept to extension under-determined.
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Intensional conception(as the main philosophical approach being discussed)
A way of understanding concepts based on their *internal meaning* or definition (what they mean), rather than just what objects they refer to in the world.
Under-determined(as describing the uncertain relationship between concepts and what they refer to)
Not fully settled or decided; left open to multiple possible interpretations or answers because there isn't enough information to pin it down.
extension(Semantics and philosophy of language)
Another term for reference, i.e., the object or set of objects a term picks out