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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 An argument is valid if it can be reduced to one of the five indemonstrable argument forms through the use of certain ground rules (themata).

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.The themata themselves require justification, creating a regress problem that undermines the claim that reduction to indemonstrables establishes validity.
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    • 2.Aristotle's Prior Analytics demonstrates that syllogistic reduction to perfect syllogisms requires metalogical principles not captured within the system itself.
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    • 3.If the ground rules (themata) are not themselves indemonstrable, validity becomes circular; if they are, the five forms are not uniquely foundational.
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    Reason for 2 of 2
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    • 1.Frege's formalization of logic shows that propositional inference schemas require a semantics grounding validity in truth-preservation, not syntactic reduction.
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    • 2.The Stoic account conflates proof-theoretic derivability with semantic validity, a distinction Tarski's work on logical consequence makes philosophically untenable.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.The Stoics held that validity can be established by reduction to basic argument forms.
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    • 2.The five indemonstrable forms are foundational argument forms not requiring further demonstration.
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