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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that A formal property theory that resolves Russell's paradox through typing while leaving semantic paradoxes intact has not achieved a principled solution but only a piecemeal one.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Semantic paradoxes involve language/interpretation, not set membership—they require separate solutions from logical paradoxes.
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    • 2.A principled solution need not be monolithic; different domains can have legitimately different foundations without being unprincipled.
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    • 3.Type theory's systematic hierarchy reflects a principled metaphysical insight: properties require stratification across logical levels.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Type theory solves set-theoretic paradoxes but leaves self-reference paradoxes (liar, heterological) completely unaddressed.
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    • 2.A principled solution should address the root cause of paradoxes uniformly, not apply different mechanisms to different classes.
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    • 3.Typing restrictions are ad hoc syntactic constraints that prevent paradoxes without explaining why self-reference itself is problematic.
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