{"title":"布尔值模型与广义量词","authors":"Jouko Väänänen","doi":"10.1016/0003-4843(80)90005-4","DOIUrl":null,"url":null,"abstract":"<div><p>A theory of Boolean valued models for generalize quantifiers is developed with a special emphasis on the Härtig-quantifier. As an application a Boolean extension is obtained in which the decision problem of the Härtig-quantifier is <span><math><mtext>Δ</mtext><mtext>1</mtext><mtext>2</mtext></math></span>.</p></div>","PeriodicalId":100093,"journal":{"name":"Annals of Mathematical Logic","volume":"18 3","pages":"Pages 193-225"},"PeriodicalIF":0.0000,"publicationDate":"1980-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0003-4843(80)90005-4","citationCount":"11","resultStr":"{\"title\":\"Boolean valued models and generalized quantifiers\",\"authors\":\"Jouko Väänänen\",\"doi\":\"10.1016/0003-4843(80)90005-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A theory of Boolean valued models for generalize quantifiers is developed with a special emphasis on the Härtig-quantifier. As an application a Boolean extension is obtained in which the decision problem of the Härtig-quantifier is <span><math><mtext>Δ</mtext><mtext>1</mtext><mtext>2</mtext></math></span>.</p></div>\",\"PeriodicalId\":100093,\"journal\":{\"name\":\"Annals of Mathematical Logic\",\"volume\":\"18 3\",\"pages\":\"Pages 193-225\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1980-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0003-4843(80)90005-4\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Mathematical Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0003484380900054\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematical Logic","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0003484380900054","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A theory of Boolean valued models for generalize quantifiers is developed with a special emphasis on the Härtig-quantifier. As an application a Boolean extension is obtained in which the decision problem of the Härtig-quantifier is .