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    Tarski's hierarchy of metalanguages shows that 'all propo... — Carmelics
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    Challenges→Statements about 'all propositions' are meaningless.

    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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    1 reason for
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    Reasons For

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    Reason for
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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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    Reasons Against

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    Reason against
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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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    2 topics

    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    Natural language can be formally reconstructed with explicit level-markers, maki...Self-referential paradoxes (like the liar sentence) arise from conflating object...Statements about 'all propositions' are meaningless.Stratification prevents legitimate cross-level reasoning humans naturally perfor...
    +3 moreShow less
    Stratification successfully eliminates semantic paradoxes by assigning each trut...The claim conflates solving paradoxes within formal systems with explaining what...The hierarchy is arbitrary and stipulative; nothing in reality requires infinite...

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    claim
    Perspectives
    2 (1 for, 1 against)
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    1 edit