{"title":"N2 and other Successors of Regulars","authors":"","doi":"10.1017/9781108303866.016","DOIUrl":"https://doi.org/10.1017/9781108303866.016","url":null,"abstract":"","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"248 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126047274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Iterated Forcing and Martin’s Axiom","authors":"","doi":"10.1017/9781108303866.012","DOIUrl":"https://doi.org/10.1017/9781108303866.012","url":null,"abstract":"","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"465 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123281641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Alan, Christensen Beth, Elena Dave, Beth Alan, Chris, Fred Dave, Chris Alan, Beth, Fred Elena, Dave Alan, Elena, Fred, Elena Alan, Dave, Fred Beth
{"title":"Axiomatic Systems","authors":"Alan, Christensen Beth, Elena Dave, Beth Alan, Chris, Fred Dave, Chris Alan, Beth, Fred Elena, Dave Alan, Elena, Fred, Elena Alan, Dave, Fred Beth","doi":"10.1017/9781108303866.002","DOIUrl":"https://doi.org/10.1017/9781108303866.002","url":null,"abstract":"Notice that in the second example, the axioms defined a new term (“identity”). This isn’t an undefined term because the axiom includes a definition. Also, these axioms refer to basic set theory that you learned in Discrete Math. For our purposes, we will assume all of those basic set theory terms are known. It is possible to view set theory itself as another axiomatic system, but that is beyond the scope of this course.","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"242 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123023715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Zermelo–Fraenkel Axioms and the Axiom of Choice","authors":"","doi":"10.1017/9781108303866.003","DOIUrl":"https://doi.org/10.1017/9781108303866.003","url":null,"abstract":"","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132645818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some Class Models of ZFC","authors":"M. Džamonja","doi":"10.1017/9781108303866.007","DOIUrl":"https://doi.org/10.1017/9781108303866.007","url":null,"abstract":"","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125276672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Well Orderings and Ordinals","authors":"","doi":"10.1017/9781108303866.004","DOIUrl":"https://doi.org/10.1017/9781108303866.004","url":null,"abstract":"","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125853163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Models and Independence","authors":"","doi":"10.1017/9781108303866.006","DOIUrl":"https://doi.org/10.1017/9781108303866.006","url":null,"abstract":"","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130582075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Limitations of Martin’s Axiom and Countable Supports","authors":"","doi":"10.1017/9781108303866.014","DOIUrl":"https://doi.org/10.1017/9781108303866.014","url":null,"abstract":"","PeriodicalId":137825,"journal":{"name":"Fast Track to Forcing","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121759263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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