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    The ad hoc denial singles out one predicate arbitrarily w... — Carmelics
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    Supports→Denying a property corresponds to the predicate 'does not exemplify itself' is ad hoc and a poor strategy for resolving Russell's paradox

    The ad hoc denial singles out one predicate arbitrarily while leaving the abundant framework's underlying unrestricted comprehension principle otherwise intact and still vulnerable.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Unrestricted comprehension generates paradoxes; ad hoc fixes that remove only problematic predicates leave the system fundamentally unstable.
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    • 2.A principled solution requires constraining comprehension itself, not arbitrarily carving out exceptions that lack theoretical justification.
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    • 3.Selective denial of one predicate while preserving the general principle is logically inconsistent—either comprehension is safe or it isn't.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Targeted restrictions (like excluding self-membership) can be principled if grounded in a coherent semantic theory, not merely ad hoc.
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    • 2.Mathematical practice routinely uses localized domain restrictions without abandoning underlying frameworks—this is pragmatic, not intellectually dishonest.
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    • 3.The claim assumes 'ad hoc' and 'principled' are mutually exclusive; restrictions can be justified post-hoc by their explanatory power and consistency.
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    Key Terms

    Ad hoc(general philosophy (criticism of arguments))
    A solution or explanation created just to fix one specific problem, rather than being part of a coherent overall theory.
    Denial(in logic and language)
    The act of saying something is not true or rejecting a statement that was previously made.
    Unrestricted comprehension(what Russell's paradox attacks)
    The idea that you can create a set or group based on any property you can describe, without any limits on what that property is.
    comprehension principle(Parsons's restricted version of the naive comprehension principle for nonexistent objects)
    A principle that entails that for any condition composed of nuclear properties, there is an object that instantiates all of those properties
    framework(Carnap's philosophy of language and logic)
    A structured system of rules or language that must be in place for rational discourse to be possible.
    predicate(Logical/grammatical ontology in Eisagoge)
    Either a sound signifying a meaning or a meaning signified by a certain sound
    vulnerable(as used in describing our relationship to death)
    Exposed to the possibility of being hurt or damaged; unable to protect yourself from harm.

    Connections

    2 topics

    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    A principled solution requires constraining comprehension itself, not arbitraril...Denying a property corresponds to the predicate 'does not exemplify itself' is a...

    Details

    Type
    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit
    Mathematical practice routinely uses localized domain restrictions without aband...
    Selective denial of one predicate while preserving the general principle is logi...
    +3 moreShow less
    Targeted restrictions (like excluding self-membership) can be principled if grou...The claim assumes 'ad hoc' and 'principled' are mutually exclusive; restrictions...Unrestricted comprehension generates paradoxes; ad hoc fixes that remove only pr...