{"title":"19世纪波兰数学哲学的范式转变","authors":"Polak Paweł","doi":"10.4467/2543702xshs.22.006.15972","DOIUrl":null,"url":null,"abstract":"The Polish philosophy of mathematics in the 19th century had its origins in the Romantic period under the influence of the then-predominant idealist philosophies. The decline of Romantic philosophy precipitated changes in general philosophy, but what is less well known is how it triggered changes in the philosophy of mathematics. In this paper, we discuss how the Polish philosophy of mathematics evolved from the metaphysical approach that had been formed during the Romantic era to the more modern positivistic paradigm. These evolutionary changes are attributed to the philosophers Henryk Struve, Antoni Molicki and Julian Ochorowicz, and mathematicians Karol Hertz and Samuel Dickstein. We also show how implicit ideas (i.e., those not declared openly) from the area between the philosophy of science and general philosophy played a crucial role in the paradigm shift in the Polish philosophy of mathematics.","PeriodicalId":36875,"journal":{"name":"Studia Historiae Scientiarum","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Paradigm Shift in the 19th-century Polish Philosophy of Mathematics\",\"authors\":\"Polak Paweł\",\"doi\":\"10.4467/2543702xshs.22.006.15972\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Polish philosophy of mathematics in the 19th century had its origins in the Romantic period under the influence of the then-predominant idealist philosophies. The decline of Romantic philosophy precipitated changes in general philosophy, but what is less well known is how it triggered changes in the philosophy of mathematics. In this paper, we discuss how the Polish philosophy of mathematics evolved from the metaphysical approach that had been formed during the Romantic era to the more modern positivistic paradigm. These evolutionary changes are attributed to the philosophers Henryk Struve, Antoni Molicki and Julian Ochorowicz, and mathematicians Karol Hertz and Samuel Dickstein. We also show how implicit ideas (i.e., those not declared openly) from the area between the philosophy of science and general philosophy played a crucial role in the paradigm shift in the Polish philosophy of mathematics.\",\"PeriodicalId\":36875,\"journal\":{\"name\":\"Studia Historiae Scientiarum\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studia Historiae Scientiarum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4467/2543702xshs.22.006.15972\",\"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":"Studia Historiae Scientiarum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4467/2543702xshs.22.006.15972","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
引用次数: 0
摘要
19世纪的波兰数学哲学起源于浪漫主义时期,受到当时占统治地位的唯心主义哲学的影响。浪漫主义哲学的衰落促成了一般哲学的变化,但鲜为人知的是它是如何引发数学哲学的变化的。在本文中,我们讨论了波兰数学哲学是如何从浪漫主义时期形成的形而上学方法发展到更现代的实证主义范式的。这些进化变化归功于哲学家Henryk Struve, Antoni Molicki和Julian Ochorowicz,以及数学家carol Hertz和Samuel Dickstein。我们还展示了科学哲学和一般哲学之间的隐含思想(即那些未公开宣布的思想)如何在波兰数学哲学的范式转变中发挥关键作用。
The Paradigm Shift in the 19th-century Polish Philosophy of Mathematics
The Polish philosophy of mathematics in the 19th century had its origins in the Romantic period under the influence of the then-predominant idealist philosophies. The decline of Romantic philosophy precipitated changes in general philosophy, but what is less well known is how it triggered changes in the philosophy of mathematics. In this paper, we discuss how the Polish philosophy of mathematics evolved from the metaphysical approach that had been formed during the Romantic era to the more modern positivistic paradigm. These evolutionary changes are attributed to the philosophers Henryk Struve, Antoni Molicki and Julian Ochorowicz, and mathematicians Karol Hertz and Samuel Dickstein. We also show how implicit ideas (i.e., those not declared openly) from the area between the philosophy of science and general philosophy played a crucial role in the paradigm shift in the Polish philosophy of mathematics.