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    The existence of a is not sufficient for the existence of... — Carmelics
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    Challenges→The truthmaker criterion for particulars fails to capture the ontological commitment of '{a, b} exists' to its member a.

    The existence of a is not sufficient for the existence of {a, b}.

    Modality & PossibilityPhilosophy of Language
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    Related propositions within the same area of thought.
    A is therefore not a truthmaker for '{a, b} exists'.Entailment accounts of ontological commitment capture that '{a, b} exists' is co...The existence of a set necessitates the existence of any of its members.The truthmaker criterion for particulars fails to capture the ontological commit...

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    The theory contains '∃x x = {a, b}', asserting the existence of the se...81%A is therefore not a truthmaker for '{a, b} exists'.80%A theory containing '∃x x = {a, b}' is ontologically committed to the ...79%Therefore, establishing that God's existence is not impossible is suff...79%

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    To illustrate the problem of sufficiency, consider the following examples. Suppose, as is standard, that the existence of a set necessitates the existence of any of its members. Then, intuitively, the sentence ‘{a, b} exists’ is implicitly committed to a, a result that is captured by entailment accounts of ontological commitment. But since the existence of a is not sufficient for the existence of {a, b}, a is not a truthmaker for ‘{a, b} exists’, and the truthmaker criterion for particulars fail

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