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    If Qc can hold for a non-existent object c while the numb... — Carmelics
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    Challenges→No number precedes zero

    If Qc can hold for a non-existent object c while the number of Q remains zero, then P2 and P3 are simultaneously satisfiable, dissolving the intended contradiction.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Properties can be instantiated without contributing to cardinality: redness exists in a painting despite zero red objects existing independently.
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    • 2.Non-existent objects in modal logic consistently bear properties: a unicorn is necessarily single-horned without populating any actual domain.
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    • 3.Quantification and predication are logically distinct: 'Q holds of c' doesn't entail 'there exists an object in the Q-count.'
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.If Qc holds, then c must be in the domain of discourse; if c is in the domain, the count of Q-things cannot remain zero.
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    • 2.Allowing properties to hold of non-existent objects while excluding them from cardinality counts creates an ad-hoc distinction without principled justification.
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    • 3.P2 and P3 likely entail that Qc and the count being zero are genuinely incompatible; dissolving their contradiction requires rejecting one premise, not reinterpreting domains.
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    Connections

    2 topics

    Proof of definition segments1 linkedTruth & Knowledge1 linked

    Related

    Allowing properties to hold of non-existent objects while excluding them from ca...If Qc holds, then c must be in the domain of discourse; if c is in the domain, t...No number precedes zeroNon-existent objects in modal logic consistently bear properties: a unicorn is n...
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    P2 and P3 likely entail that Qc and the count being zero are genuinely incompati...Properties can be instantiated without contributing to cardinality: redness exis...Quantification and predication are logically distinct: 'Q holds of c' doesn't en...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit