{"title":"Review of W świątyni nauki, mekce matematyków.by. D. Ciesielska, L. Maligranda and J. Zwierzyńska","authors":"Martina Bečvářová","doi":"10.14708/am.v15i1.7121","DOIUrl":"https://doi.org/10.14708/am.v15i1.7121","url":null,"abstract":"","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114807996","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":"200 Years of the Czech Textbook of Geometry by Josef Vojtech Sedlacek","authors":"J. Bečvář, Martina Bečvářová","doi":"10.14708/am.v15i1.7104","DOIUrl":"https://doi.org/10.14708/am.v15i1.7104","url":null,"abstract":"","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117085469","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":"An episodic history of the staircased iteration diagram","authors":"Alessandro Rosa","doi":"10.14708/am.v15i1.7056","DOIUrl":"https://doi.org/10.14708/am.v15i1.7056","url":null,"abstract":"","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134102333","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":"Professor Zdzisław Grodzki in the eyes of students and colleagues","authors":"Janusz Szuster","doi":"10.14708/am.v15i1.7091","DOIUrl":"https://doi.org/10.14708/am.v15i1.7091","url":null,"abstract":"","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"151 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124890205","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 Training of the Czech Mathematician Jaroslav Kurzweil with Władysław Orlicz in Poland","authors":"T. Pavlíček, Barbora Kulawiaková","doi":"10.14708/am.v15i1.7078","DOIUrl":"https://doi.org/10.14708/am.v15i1.7078","url":null,"abstract":"","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129810385","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}
M. Katz, Karl Kuhlemann, David Sherry, Monica Ugaglia
{"title":"Three case studies in current Leibniz scholarship","authors":"M. Katz, Karl Kuhlemann, David Sherry, Monica Ugaglia","doi":"10.14708/am.v15i1.7087","DOIUrl":"https://doi.org/10.14708/am.v15i1.7087","url":null,"abstract":"We examine some recent scholarship on Leibniz’s philosophy of the infinitesimal calculus. We indicate difficulties that arise in articles by Bassler, Knobloch, and Arthur, due to a denial to Leibniz’s infinitesimals of the status of mathematical entities violating Euclid V Definition 4.","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116450480","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}
J. Bair, Piotr Błaszczyk, P. Heinig, V. Kanovei, M. Katz
{"title":"19th-century real analysis, forward and backward","authors":"J. Bair, Piotr Błaszczyk, P. Heinig, V. Kanovei, M. Katz","doi":"10.14708/am.v13i1.6440","DOIUrl":"https://doi.org/10.14708/am.v13i1.6440","url":null,"abstract":"19th century real analysis received a major impetus from Cauchy's work. Cauchy mentions variable quantities, limits, and infinitesimals, but the meaning he attached to these terms is not identical to their modern meaning. \u0000Some Cauchy historians work in a conceptual scheme dominated by an assumption of a teleological nature of the evolution of real analysis toward a preordained outcome. Thus, Gilain and Siegmund-Schultze assume that references to limite in Cauchy's work necessarily imply that Cauchy was working with an Archi-medean continuum, whereas infinitesimals were merely a convenient figure of speech, for which Cauchy had in mind a complete justification in terms of Archimedean limits. However, there is another formalisation of Cauchy's procedures exploiting his limite, more consistent with Cauchy's ubiquitous use of infinitesimals, in terms of the standard part principle of modern infinitesimal analysis. \u0000We challenge a misconception according to which Cauchy was allegedly forced to teach infinitesimals at the Ecole Polytechnique. We show that the debate there concerned mainly the issue of rigor, a separate one from infinitesimals. A critique of Cauchy's approach by his contemporary de Prony sheds light on the meaning of rigor to Cauchy and his contemporaries. An attentive reading of Cauchy's work challenges received views on Cauchy's role in the history of analysis, and indicates that he was a pioneer of infinitesimal techniques as much as a harbinger of the Epsilontik.","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131013743","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":"Gerhard Hermann Waldemar Kowalewski and his two Prague periods","authors":"Martina Bečvářová","doi":"10.14708/AM.V12I1.6386","DOIUrl":"https://doi.org/10.14708/AM.V12I1.6386","url":null,"abstract":"","PeriodicalId":165989,"journal":{"name":"Antiquitates Mathematicae","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114660114","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}