Pub Date : 1900-01-01DOI: 10.5040/9781350102934.0007
{"title":"Frege’s Theory of Concepts","authors":"","doi":"10.5040/9781350102934.0007","DOIUrl":"https://doi.org/10.5040/9781350102934.0007","url":null,"abstract":"","PeriodicalId":146287,"journal":{"name":"Knowledge and the Philosophy of Number","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116341140","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}
Pub Date : 1900-01-01DOI: 10.5040/9781350102934.0012
{"title":"Multiplication","authors":"","doi":"10.5040/9781350102934.0012","DOIUrl":"https://doi.org/10.5040/9781350102934.0012","url":null,"abstract":"","PeriodicalId":146287,"journal":{"name":"Knowledge and the Philosophy of Number","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120988970","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}
Pub Date : 1900-01-01DOI: 10.5040/9781350102934.0015
Hao Wang
were it not for the excessive demands on class existence for the values of y . A trick of inversion (see [l]) obviated the need of infinite values of y in the definition of natural numbers: give the role of y to its complement y (without assuming existence of y) and then reduce. I.e., put bars over the occurrences of y after the quantifier and reduce. The same trick on (1) gives (2) NO(x) for (y)(x G y • S"y Q y O ( 3*)(Us G y y r z = A)).
如果不是因为阶级存在对y值的过分要求。一个反转的技巧(见[l])在自然数的定义中消除了y的无穷值的需要:将y的作用赋予它的补元y(不假设y存在)，然后进行约简。也就是说，在量词和略读之后的y出现的地方加上横杠。在(1)上同样的技巧得到(2)NO(x)对于(y)(x G y•S ' y Q y O(3*)(Us G y y r z = A))。
{"title":"The Ordinals","authors":"Hao Wang","doi":"10.5040/9781350102934.0015","DOIUrl":"https://doi.org/10.5040/9781350102934.0015","url":null,"abstract":"were it not for the excessive demands on class existence for the values of y . A trick of inversion (see [l]) obviated the need of infinite values of y in the definition of natural numbers: give the role of y to its complement y (without assuming existence of y) and then reduce. I.e., put bars over the occurrences of y after the quantifier and reduce. The same trick on (1) gives (2) NO(x) for (y)(x G y • S\"y Q y O ( 3*)(Us G y y r z = A)).","PeriodicalId":146287,"journal":{"name":"Knowledge and the Philosophy of Number","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123876727","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}
Pub Date : 1900-01-01DOI: 10.5040/9781350102934.0008
{"title":"The Logic of Quantity","authors":"","doi":"10.5040/9781350102934.0008","DOIUrl":"https://doi.org/10.5040/9781350102934.0008","url":null,"abstract":"","PeriodicalId":146287,"journal":{"name":"Knowledge and the Philosophy of Number","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115970259","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}
Pub Date : 1900-01-01DOI: 10.1007/978-1-4612-9855-7_12
P. Halmos
{"title":"The Homomorphism Theorem","authors":"P. Halmos","doi":"10.1007/978-1-4612-9855-7_12","DOIUrl":"https://doi.org/10.1007/978-1-4612-9855-7_12","url":null,"abstract":"","PeriodicalId":146287,"journal":{"name":"Knowledge and the Philosophy of Number","volume":"225 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133683621","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}
Pub Date : 1900-01-01DOI: 10.5040/9781350102934.0006
{"title":"Properties","authors":"","doi":"10.5040/9781350102934.0006","DOIUrl":"https://doi.org/10.5040/9781350102934.0006","url":null,"abstract":"","PeriodicalId":146287,"journal":{"name":"Knowledge and the Philosophy of Number","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126425052","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}
Pub Date : 1900-01-01DOI: 10.5040/9781350102934.0009
{"title":"Mereology","authors":"","doi":"10.5040/9781350102934.0009","DOIUrl":"https://doi.org/10.5040/9781350102934.0009","url":null,"abstract":"","PeriodicalId":146287,"journal":{"name":"Knowledge and the Philosophy of Number","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133608446","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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