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    The formula is true only of sets — Carmelics
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    Supports→The Axiom of Pairing is true for sets

    The formula is true only of sets

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    Any formula that does not mention sethood, has only sets as parameters, and is t...The Axiom of Pairing is true for setsThe formula has only the sets a and b as parametersThe formula x = a ∨ x = b (where a and b are sets) does not mention sethood

    Similar

    Therefore the formula is true only of sets99%The Axiom of Pairing is true for sets90%The formula ∀y(y ∈ x → y ∈ a) is true only of sets by the Axiom of Sub...88%Any formula that does not mention sethood, has only sets as parameters...85%

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    SEP: settheory-alternative
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    The formula \(x = a \lor x = b\) (where \(a\) and \(b\) are sets) does not mention sethood, has only the sets \(a\) and \(b\) as parameters, and is true only of sets. Thus it defines a set, and Pairing is true for sets.

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