{"title":"Antique origins of the relations between Modern philosophy and mathematics","authors":"Kostiantyn Uzbek","doi":"10.31649/sent05.01.044","DOIUrl":null,"url":null,"abstract":"The article discusses the ancient origins of the mathematical foundations of Cartesian rationalism. The author concludes that Cartesian project of «mathesis universalis» synthesised the ideas of many ancient thinkers. In particular, the idea of coordinates comes from Apollonius, the use of motion in mathematics from Archimedes, and the concept of modelling mathematical objects (Cartesius uses geometric shapes) from the Pythagoreans. The author, while acknowledging the conventionality of these parallels, concludes that without the ancient union of philosophy and mathematics, this unity could not have developed in the modern era.","PeriodicalId":37673,"journal":{"name":"Sententiae","volume":"84 24","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sententiae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31649/sent05.01.044","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Arts and Humanities","Score":null,"Total":0}
引用次数: 0
Abstract
The article discusses the ancient origins of the mathematical foundations of Cartesian rationalism. The author concludes that Cartesian project of «mathesis universalis» synthesised the ideas of many ancient thinkers. In particular, the idea of coordinates comes from Apollonius, the use of motion in mathematics from Archimedes, and the concept of modelling mathematical objects (Cartesius uses geometric shapes) from the Pythagoreans. The author, while acknowledging the conventionality of these parallels, concludes that without the ancient union of philosophy and mathematics, this unity could not have developed in the modern era.
期刊介绍：
Sententiae is historico-philosophical open access journal. Journal created by Modern philosophy''s research group (Pascalian society). Founded in 2000. Published twice a year, in June and December. Our purpose is to foster the development of a wide gamut of contemporary approaches, active implementation of them into research practice, and establishment of high standards of teaching philosophy basing on the achievements of contemporary history of philosophy. Our key priority is to ensure the empirical substantiation of historico-philosophical conceptions, basing on the criteria of literality, exhaustivity, contextuality and taking into account the existing speculative interpretations. Jean-Luc Marion was the first to formulate this set of criteria in 1998 as the main features of contemporary researches of Descartes''s philosophy. We regard these principles as the methodological background of any substantiated research method in the history of philosophy. Publishing materials on all historico-philosophical topics, we pay special attention to researches in terminology, issues of philosophical translation and untranslatability, manuscript researches (including handwritten heritage of Kyiv-Mohyla Academy professors of ХVІІ–ХVІІІ century), and cover the development of large-scale projects in this area. We also publish new bilingual and commented Ukrainian translations of classical foreign philosophical texts. Among our priorities there is also a coverage of the history of philosophical thought in Ukraine and other Eastern European countries and its relations to the wider cultural context (theology, literature, natural sciences, political ideology etc). The content of each issue is distributed according to Genre Sections and Thematic Headings. Currently there are 10 Genre Sections.
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