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The Unbounded Existential Quantifier of Lyceum Arabica

An existential quantifier is that backwards E in math proofs which reads: "There Exists a... ". A 'bounded' existential quantifier would have a domain, i.e. "There exists a _____ *in* __[domain]__ such that..." But i'm just a poor grad student, and i barely have an office, much less a domain. Anyway, basically, the journal just shows I exist. unboundedly.