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    An argument whose conclusion about cardinality position d... — Carmelics
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    Challenges→A weakly compact inaccessible cardinal cannot be the first, second, or any finitely indexed inaccessible cardinal

    An argument whose conclusion about cardinality position depends on premises requiring stronger axioms than those cited commits a suppressed-premise fallacy that undermines the claim's generality.

    ?Rate how convincing each reason is below to see the overall strength.

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    Key Terms

    Suppressed-premise fallacy(as used in logic and argumentation)
    A logical mistake where an argument relies on an unstated assumption that, if revealed, would weaken or break the argument.
    axioms(Stumpf, 1891)
    Propositions that we assume to be true and necessary, originating in the content of judgments.
    cardinality(Central to comparing infinite sets and establishing that no universal set exists.)
    A measure of the size of a set, indicating the number of elements it contains.
    generality(The statement suggests the claim doesn't work as broadly as it seems to.)
    The quality of applying broadly or widely to many cases; when something is general, it works across different situations rather than just one specific case.
    premises

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    (as used in logic and philosophical arguments)
    Starting statements or assumptions that are used to support a conclusion—like the opening claims in an argument that lead to a final point.

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    Modality & Possibility1 linked

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    A weakly compact inaccessible cardinal cannot be the first, second, or any finit...

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