Carnap on extremal axioms and categoricity
MCMP – Mathematical Philosophy (Archive 2011/12)
English - April 20, 2019 18:28 - 59 minutes - 562 MB Video - ★★★★★ - 6 ratingsPhilosophy Society & Culture philosophy logic science language mathematics hannes leitgeb stephan hartmann mcmp lmu Homepage Download Apple Podcasts Google Podcasts Overcast Castro Pocket Casts RSS feed
Georg Schiemer (MCMP/LMU) gives a talk at the MCMP Workshop on Carnap titled "Carnap on extremal axioms and categoricity". Abstract: The talk will investigate Carnap's early contributions to formal semantics in his work on general axiomatics between 1928 and 1936. Inparticular, we give a historically sensitive discussion of Carnap's theoryof extremal axioms from the late 1920s onwards. The main focus is seton the unpublished documents of the projected second part of UntersuchungenzurallgemeinenAxiomatik (RC 081-01-01 to 081-01-33).We present a formal reconstruction of the semantic notions 'formalmodel', 'model structure', und 'submodel' first formulated there. Themain interprctive issue addressed in the talk concerns Carnap's understandingof the relationship between the "completenessof the models"of an axiomatic theory and other metatheoretic notions investigatedby him at the time, most notably that of semantic completeness andcategoricity.