{"title":"图的物质性在数学中的作用","authors":"A. Steensen, M. W. Johansen","doi":"10.1515/cogsem-2016-0008","DOIUrl":null,"url":null,"abstract":"Abstract Based on semiotic analyses of examples from the history of mathematics, we claim that the influence of the material aspects of diagram tokens is anything but trivial. We offer an interpretation of examples of diagrammatic reasoning processes in mathematics according to which the mathematical ideas, arguments, and concepts in question are shaped by the physical features of the chosen diagram tokens.","PeriodicalId":52385,"journal":{"name":"Cognitive Semiotics","volume":"1 1","pages":"183 - 201"},"PeriodicalIF":0.0000,"publicationDate":"2018-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"The role of diagram materiality in mathematics\",\"authors\":\"A. Steensen, M. W. Johansen\",\"doi\":\"10.1515/cogsem-2016-0008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Based on semiotic analyses of examples from the history of mathematics, we claim that the influence of the material aspects of diagram tokens is anything but trivial. We offer an interpretation of examples of diagrammatic reasoning processes in mathematics according to which the mathematical ideas, arguments, and concepts in question are shaped by the physical features of the chosen diagram tokens.\",\"PeriodicalId\":52385,\"journal\":{\"name\":\"Cognitive Semiotics\",\"volume\":\"1 1\",\"pages\":\"183 - 201\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-03-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cognitive Semiotics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/cogsem-2016-0008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cognitive Semiotics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/cogsem-2016-0008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
Abstract Based on semiotic analyses of examples from the history of mathematics, we claim that the influence of the material aspects of diagram tokens is anything but trivial. We offer an interpretation of examples of diagrammatic reasoning processes in mathematics according to which the mathematical ideas, arguments, and concepts in question are shaped by the physical features of the chosen diagram tokens.
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