About this Event
TRUTH VALUES AND SEMANTIC PARADOXES
ABSTRACT:
Classical logic operates with two truth values: true and false, every sentence falling into one of these two categories. In his seminal work, Łukasiewicz investigated logics with additional truth values, most importantly allowing formally a sentence to be "indetereminate": neither really true nor really false.
One of the areas influenced by the developement of the multi-valued logics is the study of semantic paradoxes. The most famous of these is probably Liar's Paradox: it seems that there is no consistent way in ascribing a classical truth value to the sentence "This sentence is false." The developement of logic has significantly narrowed the scope of possible solutions to this paradox and we currently much better understand their ramifications. One of these solutions is to embrace one of the nonclassical logics and to deny that Liar's Sentence is either true or false. In our talk, we will present certain variants of this approach and formal and philosophical challenges it faces.
BIOGRAPHY:
Bartosz Wcisło is a logician whose main area of research is metamathematics of foundational theories, models of arithmetic, and, more recently, inner models of set theory. His main interest lies in applying formal tools to topics of philosophical significance. Currently he is an assistant professor at the University of Gdańsk.
He has defended his PhD thesis "Understanding the strength of compositional truth" in 2018 at the University of Warsaw. Its main topic was to understand which axiomatic truth theories are conservative over Peano Arithmetic. Loosely speaking, the goal was to isolate assumptions about the truth predicate which allow us to draw new conclusions about mathematical facts. He has been exploring this topic for several more years. The research programme has been named "Tarski Boundary" by Ali Enayat. More recently, he became interested in models of detereminacy and exploring absoluteness phenomena in set theory.
Organized by the School of Mathematical and Statistical Sciences, University of Galway, with the support of the Embassy of the Republic of Poland in Dublin
Event Venue & Nearby Stays
Áras Moyola, Theatre MY129, University of Galway, Ireland
EUR 0.00