Pub Date : 2019-01-23DOI: 10.1163/24055069-00401007
Matthieu Husson
This paper aims at complementing the cross-disciplinary intellectual portrait of Jean des Murs presented in this special issue from the particular perspective of his arithmetical and geometrical works. If looked at from this angle, the general question immediately implies new ones: what are the connections between Jean’s arithmetical or geometrical works and those in the other fields of the quadrivium? What is their importance in the global intellectual picture of Jean des Murs as a quadrivial author of the fourteenth century? In order to explore these different issues, I have chosen to focus on a specific question: to what extent do Jean des Murs’s mathematical works reflect a persistent effort throughout his career to address the various issues related to small amounts? Focusing on this particularly significant problem will give me the opportunity to cover a representative sample of Jean des Murs’s quadrivial works from a specific perspective. Music and astronomy address small amounts in different contexts and with different mathematical tools. However, some deeper similarities appear. They concern mainly the question of measure and incommensurability as well as the relation between mathematical and physical reasoning. Overall, they reflect the intellectual coherence between quadrivial sciences as attested by Jean des Murs’s works.
本文旨在从Jean des Murs算术和几何作品的特殊角度补充本期特刊中介绍的Jean des Mours跨学科知识肖像。如果从这个角度来看,这个普遍的问题立即意味着新的问题:让的算术或几何作品与四边形其他领域的作品之间有什么联系?在让·德斯·穆尔斯作为十四世纪四方作家的全球知识图景中,它们的重要性是什么?为了探索这些不同的问题,我选择专注于一个特定的问题:让·德斯·穆尔斯的数学作品在多大程度上反映了他在整个职业生涯中为解决与小额相关的各种问题所做的不懈努力?关注这个特别重要的问题将使我有机会从一个特定的角度来报道让·德斯·穆尔斯的四方作品的代表性样本。音乐和天文学在不同的背景下使用不同的数学工具来处理少量的问题。然而,出现了一些更深层次的相似之处。它们主要涉及测度和不可通约性问题,以及数学推理和物理推理之间的关系。总的来说,它们反映了让-德穆尔斯的作品所证明的四方科学之间的智力一致性。
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Pub Date : 2019-01-15DOI: 10.4324/9781315134536-18
C. Beard, C. Barrow
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Pub Date : 2019-01-15DOI: 10.4324/9781315134536-13
C. Beard, C. Barrow
{"title":"Power and the Control of Power","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-13","DOIUrl":"https://doi.org/10.4324/9781315134536-13","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82191020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A More Perfect Union and Justice","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-6","DOIUrl":"https://doi.org/10.4324/9781315134536-6","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"56 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81424251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Washington and Jefferson Exemplify Constitutionalism","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-4","DOIUrl":"https://doi.org/10.4324/9781315134536-4","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85257540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Democracy and Rights under the Constitution","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-3","DOIUrl":"https://doi.org/10.4324/9781315134536-3","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78657315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-15DOI: 10.4324/9781315134536-11
C. Beard, C. Barrow
{"title":"Freedom of Speech and Press","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-11","DOIUrl":"https://doi.org/10.4324/9781315134536-11","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"11 3 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83410661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Blessings of Liberty","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-9","DOIUrl":"https://doi.org/10.4324/9781315134536-9","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"27 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77354940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-15DOI: 10.4324/9781315134536-10
C. Beard, C. Barrow
{"title":"Rights of American Citizens","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-10","DOIUrl":"https://doi.org/10.4324/9781315134536-10","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"223 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76674046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Domestic Tranquility and Common Defense","authors":"C. Beard, C. Barrow","doi":"10.4324/9781315134536-7","DOIUrl":"https://doi.org/10.4324/9781315134536-7","url":null,"abstract":"","PeriodicalId":37173,"journal":{"name":"Erudition and the Republic of Letters","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79925174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}