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dc.contributor.advisorBerto, Francesco
dc.contributor.authorBonatti, Nicola
dc.coverage.spatial75 p.en_US
dc.date.accessioned2021-02-22T13:10:36Z
dc.date.available2021-02-22T13:10:36Z
dc.date.issued2020-12-02
dc.identifier.urihttp://hdl.handle.net/10023/21474
dc.description.abstractThis work argues that the expressive and inferential powers of quantified logic are not exhausted by the classical quantifiers ∀ and ∃. Indeed, based on both the Model and Proof theoretic semantics frameworks, the work will highlight two relations of dependence as arising within formulas and inferences which are not correctly represented by the standard interpretation of ∀ and ∃. Instead, I will claim that the quantifiers ‘for all’ and ‘there exists’ should be interpreted as choice functions − according to the ε-operator of the Epsilon Calculus. Finally, I will consider as a case study the Set theory formulated in the Epsilon Calculus so as to consider how the choice functions interpretation of quantifiers affects debates concerning impredicative definitions and the logical/combinatorial view of collections.en_US
dc.language.isoenen_US
dc.publisherUniversity of St Andrews
dc.subjectPhilosophy of logicen_US
dc.subjectQuantifiersen_US
dc.subjectEpsilon calculusen_US
dc.subject.lccP299.Q3B7
dc.subject.lcshLanguage and logicen
dc.subject.lcshGrammar, Comparative and general--Quantifiersen
dc.titleThe meaning of quantifiers and the epsilon calculus : on the logical formalization of dependence relationsen_US
dc.typeThesisen_US
dc.type.qualificationlevelDoctoralen_US
dc.type.qualificationnameMPhil Master of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US
dc.identifier.doihttps://doi.org/10.17630/sta/27


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