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It is not the case that Frege's puzzle about cognitive significance shows that coreferential terms can differ in meaning based on the epistemic states of speakers.
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Reasons For
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1.
Cognitive significance may reflect metalinguistic beliefs about terms rather than differences in the terms' actual meanings themselves.
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2.
Meaning can be purely referential while informativeness arises from asymmetric speaker knowledge, without requiring meaning to vary with epistemic states.
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3.
Appealing to epistemic states makes meaning subjective and speaker-relative, conflicting with meaning's role in objective semantic truth conditions.
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Reasons Against
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Reason against
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1.
Speakers can rationally believe 'Hesperus is Phosphorus' is informative, which requires different cognitive contents despite identical referents.
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2.
Meaning determines reference, so if reference alone determined meaning, Frege's informativeness puzzle would be unsolvable.
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3.
Epistemic modes of presentation (how we know about objects) are psychologically real and shape how speakers understand coreferential terms.
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