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Logic  /  Logic 268  ·  Atom · ~20 seconds

Universal Generalization

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From Fy, where y is arbitrary, derive (x)Fx. Restriction: y must not have been introduced by EI, nor be free in an undischarged assumption.

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Proved for an arbitrary y, with no smuggled specifics — then proved for all.

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"Arbitrary" is load-bearing. Generalizing from a name is how one proves that everything is Socrates.