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    A definition of counter-example that excludes absence ran... — Carmelics
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    Challenges→A genuine counter-example to an inference rule must be defined in terms of presence ranges, not absence ranges

    A definition of counter-example that excludes absence ranges cannot account for cases where partial location generates genuine epistemic defeat of the inference relation itself.

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    Reasons For

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    • 1.Partial location creates genuine epistemic gaps where absence ranges fail to capture the actual defeat mechanism.
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    • 2.Standard counter-example definitions assume complete propositional content, but partial location operates at a different logical level.
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    • 3.Inference relations can be defeated by what is structurally absent, not just by positive counter-instances present in a domain.
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    Reasons Against

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    • 1.Absence ranges already formalize gaps; excluding them arbitrarily removes tools needed for this specific logical problem.
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    • 2.Partial location's defeat effects can be modeled within standard counter-example frameworks without redefining core concepts.
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    • 3.The claim conflates epistemological defeat with definitional inadequacy; the definition may be fine, the application unclear.
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    Related

    A genuine counter-example to an inference rule must be defined in terms of prese...Absence ranges already formalize gaps; excluding them arbitrarily removes tools ...Inference relations can be defeated by what is structurally absent, not just by ...Partial location creates genuine epistemic gaps where absence ranges fail to cap...
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    Partial location's defeat effects can be modeled within standard counter-example...Standard counter-example definitions assume complete propositional content, but ...The claim conflates epistemological defeat with definitional inadequacy; the def...

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