Obiettivo A fundamental philosophical question is whether the mind can be mechanised. Attempts to answer it so far have been inconclusive; I argue that with the tools of mathematical logic this question can be sharpened and addressed in a framework where genuine progress can be achieved.I will consider a disjunctive thesis proposed by Gödel (known as Gödel's Disjunction) as a precise version of this question. Once sharpened, the question becomes whether a Turing machine (an idealised computer) can output exactly the statements that are 'absolutely provable'—i.e. the mathematical statements that can be proved in principle by an idealised mathematician not bound by limitations of time and cognitive resources. Gödel's Disjunction states that either the powers of the human mind exceed those of a Turing machine, or there are true but unprovable mathematical statements—i.e. mathematical statements that are beyond the reach of human reason. My proposed research will provide a novel account of 'absolute provability' or 'provability in principle' by developing a formal framework that overcomes the philosophical and technical shortcomings of the previous approaches. Having formulated the correct framework for absolute provability and uncovered its underlying mechanisms, I will be able to determine the status of Gödel’s disjunction. This will shed considerable light on the question of whether mind can be mechanised, a question central to philosophy of mind and artificial intelligence, and on the scope and limits of mathematical knowledge. Campo scientifico natural sciencescomputer and information sciencesartificial intelligencenatural sciencesmathematicspure mathematicsdiscrete mathematicsmathematical logicnatural sciencesmathematicspure mathematicsarithmeticsnatural sciencescomputer and information sciencescomputational sciencehumanitiesphilosophy, ethics and religionphilosophy Programma(i) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Argomento(i) MSCA-IF-2015-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Invito a presentare proposte H2020-MSCA-IF-2015 Vedi altri progetti per questo bando Meccanismo di finanziamento MSCA-IF-EF-ST - Standard EF Coordinatore LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN Contribution nette de l'UE € 159 460,80 Indirizzo GESCHWISTER SCHOLL PLATZ 1 80539 Muenchen Germania Mostra sulla mappa Regione Bayern Oberbayern München, Kreisfreie Stadt Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 159 460,80
