Any history of logic from Kant to the 20th century needs to take into account the emergence of logicism, since it is largely in this context that logic as we know it became prominent. Usually Gottlob Frege and Bertrand Russell are seen as its two main representatives, especially early on, and the more recent rise of neo-logicism, in writings by Crispin Wright, Bob Hale and others, proceeds along Fregean lines as well. In this chapter, I will focus on Richard Dedekind instead. Today Dedekind is sometimes mentioned in connection with logicism; yet at the end of the 19th century, he was the most prominent logicist, ahead of Frege. This alone invites further reflection. Reconsidering Dedekind also leads naturally to questions about what was, or could be, understood by “logic” in this context. Addressing them will involve developments in 19thcentury mathematics that are relevant in two respects: by forming core parts of the background for the emergence of modern logic; and by pointing towards a distinction between two conceptions of logic that deserve more attention, both historically and philosophically.
{"title":"The Logic in Dedekind’s Logicism","authors":"E. Reck","doi":"10.4324/9781351182249-9","DOIUrl":"https://doi.org/10.4324/9781351182249-9","url":null,"abstract":"Any history of logic from Kant to the 20th century needs to take into account the emergence of logicism, since it is largely in this context that logic as we know it became prominent. Usually Gottlob Frege and Bertrand Russell are seen as its two main representatives, especially early on, and the more recent rise of neo-logicism, in writings by Crispin Wright, Bob Hale and others, proceeds along Fregean lines as well. In this chapter, I will focus on Richard Dedekind instead. Today Dedekind is sometimes mentioned in connection with logicism; yet at the end of the 19th century, he was the most prominent logicist, ahead of Frege. This alone invites further reflection. Reconsidering Dedekind also leads naturally to questions about what was, or could be, understood by “logic” in this context. Addressing them will involve developments in 19thcentury mathematics that are relevant in two respects: by forming core parts of the background for the emergence of modern logic; and by pointing towards a distinction between two conceptions of logic that deserve more attention, both historically and philosophically.","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125591542","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 : 2019-01-15DOI: 10.4324/9781351182249-11
S. Morris
{"title":"Sigwart, Russell and the Emergence of Scientific Philosophy","authors":"S. Morris","doi":"10.4324/9781351182249-11","DOIUrl":"https://doi.org/10.4324/9781351182249-11","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129223623","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 : 2019-01-15DOI: 10.4324/9781351182249-10
Consuelo Preti
{"title":"What Russell Meant When He Called Moore a Logician","authors":"Consuelo Preti","doi":"10.4324/9781351182249-10","DOIUrl":"https://doi.org/10.4324/9781351182249-10","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114982890","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":"Platonism in Lotze and Frege","authors":"Nicholas F. Stang","doi":"10.4324/9781351182249-7","DOIUrl":"https://doi.org/10.4324/9781351182249-7","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132170277","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":"Hegel’s Conception of Thinking in His Logics","authors":"Clinton Tolley","doi":"10.4324/9781351182249-4","DOIUrl":"https://doi.org/10.4324/9781351182249-4","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124273404","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":"Kant’s Excessive Tenderness for Things in the World, and Hegel’s Dialetheism","authors":"G. Priest","doi":"10.4324/9781351182249-3","DOIUrl":"https://doi.org/10.4324/9781351182249-3","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124044910","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":"Bolzano on Logic in Mathematics and Beyond 1","authors":"Sandra Lapointe","doi":"10.4324/9781351182249-5","DOIUrl":"https://doi.org/10.4324/9781351182249-5","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128271583","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 : 2019-01-15DOI: 10.4324/9781351182249-12
N. Griffin
{"title":"Kant and Formalism","authors":"N. Griffin","doi":"10.4324/9781351182249-12","DOIUrl":"https://doi.org/10.4324/9781351182249-12","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132651454","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":"Demystifying Cohen’s Logik","authors":"Frederick C. Beiser","doi":"10.4324/9781351182249-8","DOIUrl":"https://doi.org/10.4324/9781351182249-8","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113936530","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":"The Logicians of Kant’s School","authors":"J. Heis","doi":"10.4324/9781351182249-2","DOIUrl":"https://doi.org/10.4324/9781351182249-2","url":null,"abstract":"","PeriodicalId":118047,"journal":{"name":"Logic from Kant to Russell","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132773799","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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