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Fall 2014

Tedder, Andrew J

Inconsistent and collapse models of arithmetic are presented in the language and semantics of the simple paraconsistent logic LP. I present a logic which extends LP by the addition of a sensible conditional connective and quantifiers. This logic, called A 3 , is specified as a Hilbert style axiom...

Spring 2020

Ferenz, Nicholas

Applications of formal logic often require the language of the logics to be sufficiently expressive, capturing notions such as necessity, possibility, subject-predicate sentences, quantified sentences, and identity. To this end, logics employ modal operators, first order quantifiers, and an...