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It is not the case that Coreferential names can differ in sense
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Names are rigid designators that directly refer to objects without any descriptive sense mediating the reference (Kripke, Naming and Necessity).
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2.
If names lack senses entirely, no two coreferential names can differ in something they do not possess.
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Reason for 2 of 2
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1.
The cognitive significance of 'Hesperus is Phosphorus' is fully explained by our ignorance of an empirical identity, not by names encoding distinct descriptive senses.
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2.
Frege's puzzle about informative identity statements requires only an epistemic, not a semantic, distinction between coreferential names.
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Reasons Against
1 perspective
Reason against
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1.
The sense of a name is a condition which the referent uniquely satisfies
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2.
Any given object uniquely satisfies more than one condition
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