Some Set-Theoretical traces in Leibniz's works

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Felsefe Bölümü, Türkiye

Tezin Onay Tarihi: 2010

Öğrenci: NUSRET ERTEMİZ

Danışman: DAVİD GRÜNBERG

Özet:

The purpose of this dissertation is to search the primitives of Axiomatic Set Theory in Leibnizian Philolosophy, nourishing, roughly, from Platonic idea of universal-particular distinction, Aristotelian syllogistic propositions of Organon-Categoria and Euclidean Methodology in Elements. The main focus of the dissertation intends to examine the analyticity of Leibnizian Metaphysics and the anologies between the subject-predicate relation in The Philosophy of Leibniz and Axiomatic Method in general and Set Theory in particular. In doing this, special emphasis will be ascribed to the notion of sets as to universality and/or nullness of a class, probable causes of paradoxes and in this context a critical analysis of Russell Paradox.