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    Degrees of entailment can be construed in terms of entail... — Carmelics
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    Degrees of entailment can be construed in terms of entailment probabilities between logical forms of premise and hypothesis sentences.

    Philosophy of LanguageTruth & Knowledge
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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    • 1.Each sentence may have multiple possible logical forms.
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    • 2.Clarke's vector-algebraic framework allows statistical relationships between these logical forms.
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    • 3.Entailment probability can be computed by relating each possible logical form of a premise sentence to each possible logical form of a hypothesis sentence.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Logical entailment is a truth-preserving relationship that holds necessarily, not probabilistically, between propositions (Frege, Tarski).
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    • 2.Assigning probabilities to entailment relations conflates epistemic uncertainty about logical form with the semantic relation of entailment itself.
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    • 3.A probabilistic 'degree' of entailment is therefore a category error: it measures parser confidence, not a property of the entailment relation.
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    Reason against 2 of 2
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    • 1.Natural language sentences routinely underdetermine their logical form in ways no finite enumeration of candidate forms can exhaust (Davidson, Quine on indeterminacy).
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    • 2.If the space of possible logical forms is open-ended, computing a probability distribution over them lacks a well-defined sample space.
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    • 3.Clarke's vector-algebraic framework therefore cannot yield genuine entailment probabilities, only heuristic similarity scores mislabeled as such.
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    Related

    A probabilistic 'degree' of entailment is therefore a category error: it measure...Assigning probabilities to entailment relations conflates epistemic uncertainty ...Clarke's vector-algebraic framework allows statistical relationships between the...Clarke's vector-algebraic framework therefore cannot yield genuine entailment pr...
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    Each sentence may have multiple possible logical forms.Entailment probability can be computed by relating each possible logical form of...If the space of possible logical forms is open-ended, computing a probability di...Logical entailment is a truth-preserving relationship that holds necessarily, no...Natural language sentences routinely underdetermine their logical form in ways n...

    Similar

    Entailment probability can be computed by relating each possible logic...85%Bolzano's semantic notion of entailment requires that from the smalles...80%Research in textual entailment treats sentences as structured syntacti...78%Recognizing textual entailment requires judgments that accord with hum...78%

    Source

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    SEP: computational-linguistics
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    It is noteworthy that the conception of sentences as meaning representations echoes Montague's contention that language is logic. Of course, Montague understood “sentences” as unambiguous syntactic trees. But research in textual entailment seems to be moving towards a similar conception, as exemplified in the work of Dagan et al. (2008), where statistical entailment relations are based on syntactic trees, and these are generalized to templates that may replace subtrees by typed variables. Also C
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    Details

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    Perspectives
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