The universal closure of a formula φ is the formula with no free variables obtained by adding a universal quantifier for every free variable in φ. For example, the universal closure of
is
- .
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“A universal and perpetual peace, it is to be feared, is in the catalogue of events which will never exist but in the imaginations of visionary philosophers, or in the breasts of benevolent enthusiasts.”
—James Madison (17511836)
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