{"title":"5 Long-Distance Meaning Relationships","authors":"","doi":"10.1515/9780748677771-008","DOIUrl":"https://doi.org/10.1515/9780748677771-008","url":null,"abstract":"","PeriodicalId":233534,"journal":{"name":"Elements of Formal Semantics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120964065","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":"7 Conclusion and Further Topics","authors":"","doi":"10.1515/9780748677771-010","DOIUrl":"https://doi.org/10.1515/9780748677771-010","url":null,"abstract":"","PeriodicalId":233534,"journal":{"name":"Elements of Formal Semantics","volume":"35 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120913019","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":"Appendix to Chapter 3","authors":"Jeffrey J. Harden","doi":"10.1017/CBO9781316442920.007","DOIUrl":"https://doi.org/10.1017/CBO9781316442920.007","url":null,"abstract":"The study of mathematics goes well beyond a knowledge of the real numbers. In this chapter, we discuss some topics which are tangentially related to the material of this course, but which can take a willing student a bit further into more advanced mathematics. 1. Cardinality Intuitively, cardinality is the major of the 'size' of a set. For example , we should predict that a set containing two elements (regardless of what they are) should be 'larger' in some essential way than a set containing only one. In fact, mathematicians were surprised to discover that an infinite set can actually be essentially larger than another, a fact we will prove. Definition. If A and B are sets, we write |A| = |B| if there exists a bijection f : A → B. We read |A| = |B| as \" the cardinality of A equals the cardinality of B. Again |A| = |B| intuitively means that both sets have the \" same number of elements \". This is not startling for finite sets. It is no surprise that |{a, b, c}| = |{1, 2, 3}|. However this definition can lead to non-intuitive results. We can have A ⊆ B, A = B yet |A| = |B| (how?).","PeriodicalId":233534,"journal":{"name":"Elements of Formal Semantics","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126285390","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":"6 Intensionality and PossibleWorlds","authors":"","doi":"10.1515/9780748677771-009","DOIUrl":"https://doi.org/10.1515/9780748677771-009","url":null,"abstract":"","PeriodicalId":233534,"journal":{"name":"Elements of Formal Semantics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126920039","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":"3 Types and Meaning Composition","authors":"","doi":"10.1515/9780748677771-006","DOIUrl":"https://doi.org/10.1515/9780748677771-006","url":null,"abstract":"","PeriodicalId":233534,"journal":{"name":"Elements of Formal Semantics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125569197","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":"2 Meaning and Form","authors":"","doi":"10.1515/9780748677771-005","DOIUrl":"https://doi.org/10.1515/9780748677771-005","url":null,"abstract":"","PeriodicalId":233534,"journal":{"name":"Elements of Formal Semantics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126585983","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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