David Lewis und seine mereologische Interpretation der by Philipp Werner

By Philipp Werner

In seinem wichtigen Buch "Parts of periods" hat David Lewis eine Reduktion von ZFC auf eine Mereologie zweiter Stufe skizziert. Sein Resultat nimmt in vorliegender Rekonstruktion folgende shape an: ZFC ist in M (der klassischen Mereologie zweiter Stufe) plus "Es gibt eine stark unerreichbare Partition" parametrisiert interpretierbar. In den Beweis geht ein, dass geordnete Paare in M plus "Es gibt eine unendliche Partition" parametrisiert interpretierbar sind. Die Arbeit beleuchtet den logischen und philosophie-geschichtlichen Hintergrund von "Parts of Classes", gibt eine Einführung in die Mereologie zweiter Stufe und schließt mit einem recht einfachen Beweis für "ZFC ist (die Konsistenz von ZFC vorausgesetzt) in einer konsistenten Mereologie zweiter Stufe parametrisiert interpretierbar".

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