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It is not the case that Frege's distinction between sense and reference shows that identity statements can carry substantive cognitive content, even when the relata are identical.
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Reasons For
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1.
The informativeness of identity statements derives from linguistic/epistemic factors, not from the distinction between sense and reference itself.
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2.
If identity is a relation between objects, then "a=b" expresses the same fact regardless of sense; cognitive content differences lie elsewhere in cognition.
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3.
Frege's framework conflates semantic meaning with psychological processing, making sense-based explanations unclear about what makes claims substantive.
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Reasons Against
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Reason against
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1.
"Morning Star" and "Evening Star" refer to the same object (Venus) but have different senses, making "Morning Star is Evening Star" informatively valuable.
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2.
Sense involves the mode of presentation of a reference; two names can present the same object through different conceptual routes, enabling genuine discovery.
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3.
Identity statements between co-referential terms convey substantive information about how we conceptually access reality, not merely about metaphysical identity.
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