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Inverse View
It is not the case that If the shared modal inference is fallacious, then the family of arguments fails collectively, not merely version by version.
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Reasons For
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Reason for
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1.
Some argument versions may contain independent supporting premises that survive even if shared inference fails.
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2.
Fallacy in a shared inference step doesn't automatically poison premises used only in particular versions.
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3.
Arguments can be overdetermined—succeeding via multiple routes—so shared fallacy needn't doom every version.
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Reasons Against
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Reason against
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1.
A shared modal inference operates as a common logical foundation across all argument versions in a family.
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2.
If that foundation is fallacious, it undermines every instance relying on it, not just isolated cases.
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3.
Individual argument versions gain their force from the collective structure, so structural collapse affects all.
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