弗朗西斯科Sánchez和数学确定性问题:一个怀疑的方法

IF 0.5 4区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Endeavour Pub Date : 2022-12-01 DOI:10.1016/j.endeavour.2022.100848

Helbert E. Velilla-Jiménez

{"title":"弗朗西斯科Sánchez和数学确定性问题:一个怀疑的方法","authors":"Helbert E. Velilla-Jiménez","doi":"10.1016/j.endeavour.2022.100848","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper I analyse Francisco Sánchez’s role in the <em>Quaestio de certitudine mathematicarum</em> debate. Despite some studies on the philosophical and medical scepticism of Sánchez and, his extant letter with Christopher Clavius, a participant in the debate, we have few analyses about Sánchez’s position regarding the certainty of mathematics. Sánchez discussed some problems that Clavius analysed in his <em>Prolegomena</em> to propose an empirical basis for mathematics through a questioning of its certainty. I will trace the conceptual connections between Sánchez’s 1589 letter to Clavius and the <em>Quaestio</em> debate, to introduce Sánchez’s sceptical approach to analysing the certainty of mathematics.</p></div>","PeriodicalId":51032,"journal":{"name":"Endeavour","volume":"46 4","pages":"Article 100848"},"PeriodicalIF":0.5000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0160932722000485/pdfft?md5=bf82718c1cfd82e83865bee797438414&pid=1-s2.0-S0160932722000485-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Francisco Sánchez and the Quaestio de certitudine mathematicarum: A sceptical approach\",\"authors\":\"Helbert E. Velilla-Jiménez\",\"doi\":\"10.1016/j.endeavour.2022.100848\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper I analyse Francisco Sánchez’s role in the <em>Quaestio de certitudine mathematicarum</em> debate. Despite some studies on the philosophical and medical scepticism of Sánchez and, his extant letter with Christopher Clavius, a participant in the debate, we have few analyses about Sánchez’s position regarding the certainty of mathematics. Sánchez discussed some problems that Clavius analysed in his <em>Prolegomena</em> to propose an empirical basis for mathematics through a questioning of its certainty. I will trace the conceptual connections between Sánchez’s 1589 letter to Clavius and the <em>Quaestio</em> debate, to introduce Sánchez’s sceptical approach to analysing the certainty of mathematics.</p></div>\",\"PeriodicalId\":51032,\"journal\":{\"name\":\"Endeavour\",\"volume\":\"46 4\",\"pages\":\"Article 100848\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0160932722000485/pdfft?md5=bf82718c1cfd82e83865bee797438414&pid=1-s2.0-S0160932722000485-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Endeavour\",\"FirstCategoryId\":\"98\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0160932722000485\",\"RegionNum\":4,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Endeavour","FirstCategoryId":"98","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0160932722000485","RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我分析了弗朗西斯科Sánchez在确定性问题数学辩论中的作用。尽管对Sánchez的哲学和医学怀疑主义进行了一些研究，以及他与Christopher Clavius(辩论的参与者)现存的信件，但我们很少分析Sánchez在数学确定性方面的立场。Sánchez讨论了克拉维乌斯在《数学导论》中分析的一些问题，通过质疑数学的确定性，提出了数学的经验基础。我将追溯Sánchez在1589年写给克拉维乌斯的信与“问题论”辩论之间的概念联系，以介绍Sánchez分析数学确定性的怀疑方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Francisco Sánchez and the Quaestio de certitudine mathematicarum: A sceptical approach

In this paper I analyse Francisco Sánchez’s role in the Quaestio de certitudine mathematicarum debate. Despite some studies on the philosophical and medical scepticism of Sánchez and, his extant letter with Christopher Clavius, a participant in the debate, we have few analyses about Sánchez’s position regarding the certainty of mathematics. Sánchez discussed some problems that Clavius analysed in his Prolegomena to propose an empirical basis for mathematics through a questioning of its certainty. I will trace the conceptual connections between Sánchez’s 1589 letter to Clavius and the Quaestio debate, to introduce Sánchez’s sceptical approach to analysing the certainty of mathematics.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Endeavour 综合性期刊-科学史与科学哲学

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

49 days

期刊介绍： Endeavour, established in 1942, has, over its long and proud history, developed into one of the leading journals in the history and philosophy of science. Endeavour publishes high-quality articles on a wide array of scientific topics from ancient to modern, across all disciplines. It serves as a critical forum for the interdisciplinary exploration and evaluation of natural knowledge and its development throughout history. Each issue contains lavish color and black-and-white illustrations. This makes Endeavour an ideal destination for history and philosophy of science articles with a strong visual component. Endeavour presents the history and philosophy of science in a clear and accessible manner, ensuring the journal is a valuable tool for historians, philosophers, practicing scientists, and general readers. To enable it to have the broadest coverage possible, Endeavour features four types of articles: -Research articles are concise, fully referenced, and beautifully illustrated with high quality reproductions of the most important source material. -In Vivo articles will illustrate the rich and numerous connections between historical and philosophical scholarship and matters of current public interest, and provide rich, readable explanations of important current events from historical and philosophical perspectives. -Book Reviews and Commentaries provide a picture of the rapidly growing history of science discipline. Written by both established and emerging scholars, our reviews provide a vibrant overview of the latest publications and media in the history and philosophy of science. -Lost and Found Pieces are playful and creative short essays which focus on objects, theories, tools, and methods that have been significant to science but underappreciated by collective memory.