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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Perspectives
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    Home/Original/inverse
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    Inverse View

    It is not the case that Bilateral proof systems, as developed by Rumfitt, assign assertoric and rejective forces to sentences, allowing negation introduction to be stated purely in terms of denial without invoking falsum.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Bilateral systems require independently justified norms for rejection; simply relocating the burden doesn't explain what makes denial logically constitutive.
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    • 2.The claim that falsum invocation is avoided is misleading—bilateral systems implicitly reconstrue falsum as rejection, not eliminating it conceptually.
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    • 3.Empirical evidence from actual reasoning shows we often use negation without conscious commitment to bilateral force-theoretic structures.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Negation introduction via denial avoids classical logic's commitment to abstract falsum, grounding logical operators in concrete speech acts.
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    • 2.Bilateral systems preserve classical validity while offering proof-theoretic harmony without requiring explosion or vacuous truth principles.
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    • 3.Treating assertion and rejection symmetrically respects the intuition that denial is logically fundamental, not derivative from negation.
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