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It is not the case that Kant's analytic-synthetic distinction shows that analytically true propositions can be both self-evident and formally demonstrable via conceptual analysis.
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Reasons For
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Reason for
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1.
The 'containment' criterion for analyticity is obscure—it's unclear what conceptual containment means or how to identify it objectively.
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2.
Quine's holism challenges whether any propositions are purely analytic, suggesting all beliefs face potential revision together.
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3.
Self-evidence and formal demonstrability are distinct properties; conflating them obscures whether analyticity guarantees both.
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Reasons Against
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Reason against
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1.
Analytic truths like 'bachelors are unmarried' are self-evident because the predicate is contained in the subject's concept.
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2.
Conceptual analysis can rigorously demonstrate analytic propositions by unpacking logical relationships inherent in definitions.
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3.
Kant's distinction preserves necessity and apriority for analytic truths, explaining why they require no empirical confirmation.
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