{"title":"柏拉图关于接受事物在形式上的参与（ei；dh）的批判（）是对数学基础中二律背反根源讨论的贡献","authors":"Kondrad Dydak Rycyk","doi":"10.15633/ss.3514","DOIUrl":null,"url":null,"abstract":"This article is an attempt to answer the question about possible philosophical (non-mathematical) sources of antinomies revealed in mathematics at the turn of the 19th and 20th centuries. Mathematical Platonism seems to be one of such sources. Is it possible, in Plato’s way of thinking, to really find the problem of the existence of objects, which in the context of the infinite set theory was mentioned by Georg Cantor? And if so, how does this problem solve Plato himself?","PeriodicalId":30875,"journal":{"name":"Semina Scientiarum","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Krytyka Platona przyjmowania uczestniczenia (ei;dh) rzeczy w postaciach () jako przyczynek do dyskusji na temat źródeł antynomii w podstawach matematyki\",\"authors\":\"Kondrad Dydak Rycyk\",\"doi\":\"10.15633/ss.3514\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is an attempt to answer the question about possible philosophical (non-mathematical) sources of antinomies revealed in mathematics at the turn of the 19th and 20th centuries. Mathematical Platonism seems to be one of such sources. Is it possible, in Plato’s way of thinking, to really find the problem of the existence of objects, which in the context of the infinite set theory was mentioned by Georg Cantor? And if so, how does this problem solve Plato himself?\",\"PeriodicalId\":30875,\"journal\":{\"name\":\"Semina Scientiarum\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Semina Scientiarum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15633/ss.3514\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Semina Scientiarum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15633/ss.3514","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Krytyka Platona przyjmowania uczestniczenia (ei;dh) rzeczy w postaciach () jako przyczynek do dyskusji na temat źródeł antynomii w podstawach matematyki
This article is an attempt to answer the question about possible philosophical (non-mathematical) sources of antinomies revealed in mathematics at the turn of the 19th and 20th centuries. Mathematical Platonism seems to be one of such sources. Is it possible, in Plato’s way of thinking, to really find the problem of the existence of objects, which in the context of the infinite set theory was mentioned by Georg Cantor? And if so, how does this problem solve Plato himself?
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