{"title":"Knowledge and the Philosophy of Number","authors":"Richard Lawrence","doi":"10.1080/01445340.2022.2080373","DOIUrl":null,"url":null,"abstract":"project to provide a new for the philosophy of number inspired by the idea that numbers are magnitudes . Hossack advocates understanding magnitudes as properties of , a which pluralities, continua, and series a natural is a property of a plurality, a real is a property of a continuum, and an ordinal is a property of a series. The out a modern theory of quantity and magnitude, based on the ancient theory of quantity in and in order to argue that we can have a priori knowledge of the natural numbers, the real numbers, and the ordinals. It is a refreshing and innovative attempt at that longstanding goal.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"43 1","pages":"404 - 406"},"PeriodicalIF":0.7000,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"History and Philosophy of Logic","FirstCategoryId":"98","ListUrlMain":"https://doi.org/10.1080/01445340.2022.2080373","RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
project to provide a new for the philosophy of number inspired by the idea that numbers are magnitudes . Hossack advocates understanding magnitudes as properties of , a which pluralities, continua, and series a natural is a property of a plurality, a real is a property of a continuum, and an ordinal is a property of a series. The out a modern theory of quantity and magnitude, based on the ancient theory of quantity in and in order to argue that we can have a priori knowledge of the natural numbers, the real numbers, and the ordinals. It is a refreshing and innovative attempt at that longstanding goal.
期刊介绍：
History and Philosophy of Logic contains articles, notes and book reviews dealing with the history and philosophy of logic. ’Logic’ is understood to be any volume of knowledge which was regarded as logic at the time in question. ’History’ refers back to ancient times and also to work in this century; however, the Editor will not accept articles, including review articles, on very recent work on a topic. ’Philosophy’ refers to broad and general questions: specialist articles which are now classed as ’philosophical logic’ will not be published.
The Editor will consider articles on the relationship between logic and other branches of knowledge, but the component of logic must be substantial. Topics with no temporal specification are to be interpreted both historically and philosophically. Each topic includes its own metalogic where appropriate.
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