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1、LectureNotesinMathematicsEditedbyA.DoldandB.Eckmann872SetTheoryandModelTheoryProceedingsofanInformalSymposiumHeldatBonn,June1-3,1979EditedbyR.B.JensenandA.PrestelSpringer-VerlagBerlinHeidelbergNewYork1981EditorsRonaldBj6rnJensenAllSoulsCollegeOxfordOXl4AL,EnglandAlexander
2、PrestelFakult~,tfL~rMathematik,Universit~tKonstanzPostfach5560,7750Konst&nz,FederalRepublicofGermanyAMSSubjectClassifications(1980):03Cxx,03ExxISBN3-540-10849-1Springer-VerlagBerlinHeidelbergNewYorkISBN0-387-10849-1Springer-VerlagNewYorkHeidelbergBerlinThisworkissubjectto
3、copyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallythoseoftranslation,reprinting,re-useofillustrations,broadcasting,reproductionbyphotocopyingmachineorsimilarmeans,andstorageindatabanks.Under§54oftheGermanCopyrightLawwherecopiesaremad
4、eforotherthanprivateuse,afeeispayableto"VerwertungsgesellschaftWort",Munich.©bySpringer-VerlagBerlinHeidelberg1981PrintedinGermanyPrintingandbinding:BeltzOffsetdruck,Hemsbach/Bergstr.2141/3140-543210FOREWORDOntheoccasionofGisbertHasenjaeger's60-thbirthdayaninformalsymposi
5、umonsettheoryandmodeltheorywasheldatBonnfromI.-3.ofJ~ne1979.ThepaperspublishedintheseproceedingsarealldedicatedtoProfessorHasenjaeger.Sincethemeetingtookplacesomeofthepapershavebeenrevisedandextended.Allofthecontri-butorstothisvolumeareformerstudentsorco-workersofProfesso
6、rHasenjaeger.Eachwasatonetimeoranotherhisassistant.Eachofus,inhisownapproachtomathematics,bearsdeeptracesofHasenjaeger'sinfluence.Hasenjaegerhimselfisaneagerproponentoftheplatonicviewadvocatedbyhisteacher,HeinrichScholz.Thoughnotallofuswouldcallourselvesplatoniststoday,we
7、retainaprofoundsensethatmathematicsmusthavea'realcontent'-andthataproblemshouldbejudgedbyitscontent,ratherthanitsdifficultyorestheticvalue.AllofuslearnedfromHasenjaegertoregardtheconceptofmodelascentralinlogic-aconvictiontowhichthisbookbearswitness.Thepreponderanceofsetth
8、eoreticalcontributionstothisvolumeisrelateddirectlytoHasenjaeger'sinsistenceontheimportanceofont
