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It is not the case that Tarski's hierarchy of metalanguages shows that 'all propositions' can be rendered meaningful by stratifying truth-talk across object and meta-levels.
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Reasons For
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Reason for
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1.
The hierarchy is arbitrary and stipulative; nothing in reality requires infinite metalanguage levels for coherent discourse.
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2.
Stratification prevents legitimate cross-level reasoning humans naturally perform without paradox or confusion in practice.
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3.
The claim conflates solving paradoxes within formal systems with explaining what makes propositions meaningful in natural language.
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Reasons Against
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Reason against
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1.
Self-referential paradoxes (like the liar sentence) arise from conflating object and metalanguage levels without distinction.
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2.
Stratification successfully eliminates semantic paradoxes by assigning each truth-claim to a specific hierarchical level.
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3.
Natural language can be formally reconstructed with explicit level-markers, making all meaningful propositions expressible.
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