Ein pragmatisierter Kalkul des naturlichen Schlieβens nebst Metatheorie



Inhaltsverzeichnis

VORBEMERKUNG .............................................................................................................................. III

1 ZUM GRAMMATISCHEN RAHMEN ............................................................................................ 1

1.1 Inventar und Syntax ...................................................................................................................... 1

1.2 Substitution ................................................................................................................................ 26

2 Verfugbarkeit von aussagen..........................................................................................47

2.1 Abschnitte und Abschnittsfolgen................................................................................................. 47

2.2 Geschlossene Abschnitte .............................................................................................................. 63

2.3 VERS, VANS, VER UND VAN ........................................................................................................ 103

3 DER REDEHANDLUNGSKALKuL ..............................................................................................119

3.1   Der Kalkul.................................................................................................................................119

3.2   Ableitungsbegriff und deduktive Konsequenzschaft................................................................... 127

3.3 VERS, VANS, VER und VAN in Ableitungen und bei einzelnen Ubergangen...................................141

4 THEOREME ZUR DEDUKTIVEN KONSEQUENZSCHAFT .............................................................157

4.1 Vorbereitungen ......................................................................................................................... 157

4.2 Eigenschaften der deduktiven Konsequenzschaft ....................................................................... 196

5    MODELLTHEORIE ..................................................................................................................211

5.1 Erfüllungsrelation und modelltheoretische Konsequenz .......................................................... 211

5.2 Abgeschlossenheit der modelltheoretischen Konsequenzschaft ................................................. 230

6 Korrektheit und Vollstandigkeit des RedehandlungskalkUls.................................239

6.1 Korrektheit des Redehandlungskalküls ...................................................................................... 239

6.2 Vollständigkeit des Redehandlungskalküls ................................................................................ 245

7    RUCK- UND AUSBLICK...........................................................................................................263

LiTERATuR ......................................................................................................................................265

DEFiNiTioNsVERZEiCHNis ...............................................................................................................267

THEoREMVERZEiCHNis ...................................................................................................................271

REGELVERZEiCHNis .........................................................................................................................279



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