{"title":"Dimitry Gawronsky: Reality and Actual Infinitesimals","authors":"H. Pringe","doi":"10.1515/kant-2023-2012","DOIUrl":null,"url":null,"abstract":"Abstract The aim of this paper is to analyze Dimitry Gawronsky’s doctrine of actual infinitesimals. I examine the peculiar connection that his critical idealism establishes between transcendental philosophy and mathematics. In particular, I reconstruct the relationship between Gawronsky’s differentials, Cantor’s transfinite numbers, Veronese’s trans-Archimedean numbers and Robinson’s hyperreal numbers. I argue that by means of his doctrine of actual infinitesimals, Gawronsky aims to provide an interpretation of calculus that eliminates any alleged given element in knowledge.","PeriodicalId":45952,"journal":{"name":"KANT-STUDIEN","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"KANT-STUDIEN","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/kant-2023-2012","RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract The aim of this paper is to analyze Dimitry Gawronsky’s doctrine of actual infinitesimals. I examine the peculiar connection that his critical idealism establishes between transcendental philosophy and mathematics. In particular, I reconstruct the relationship between Gawronsky’s differentials, Cantor’s transfinite numbers, Veronese’s trans-Archimedean numbers and Robinson’s hyperreal numbers. I argue that by means of his doctrine of actual infinitesimals, Gawronsky aims to provide an interpretation of calculus that eliminates any alleged given element in knowledge.
期刊介绍：
Publications in the Kant-Studien have a dual focus: firstly contributions to the interpretation, history and editorial questions of Kant"s philosophy, and secondly systematic debates on transcendental philosophy. In addition, there are investigations on Kant"s precursors and on the effects of his philosophy. The journal also contains a documentation section, in which the current state of research is indicated by means of a continually updated bibliography with reviews and references.
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