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People, Places, Practices: Joint BSHM-CSHPM/SCHPM Conference: Symposium Real Numbers in Transition: Aspects of the 18th and 19th Centuries
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SYSNO ASEP 0548821 Document Type U - Organizing Conference, Workshop, Exhibition R&D Document Type M - Uspořádání konference R&D Document Type Není vybrán druh dokumentu Title People, Places, Practices: Joint BSHM-CSHPM/SCHPM Conference: Symposium Real Numbers in Transition: Aspects of the 18th and 19th Centuries Author(s) López, E. D. (ES)
Fuentes Guillén, Elías (FLU-F) ORCID, RID, SAIEvent type K - Konference Event date 15.07.2021 - 15.07.2021 VEvent location Online Country GB - United Kingdom Event type WRD Total number of participants 20 Number of foreign participants 18 Language eng - English Keywords History of mathematics in the 18th century ; History of mathematics in the 19th century ; Real Numbres ; Heinrich Lambert ; Bernard Bolzano ; Martin Ohm Subject RIV AA - Philosophy ; Religion OECD category Philosophy, History and Philosophy of science and technology Institutional support FLU-F - RVO:67985955 Annotation It is usually accepted that the notion of real numbers was more or less there, prior to the publication of detailed theories (often called constructions) in the 1870s. However, a closer look indicates that the extent of the domain of real numbers was far from well determined, or well understood, in the 18th and early 19th centuries. Up until 1800 it was still common to understand by irrational numbers only the radicals such as √3 or√1 −√5, but gradually there was a transition from the conception of decimal fractions (or continued fractions, etc.) as a tool for approaching irrationals, to their conception as mathematical objects. Meanwhile, the preeminence of analytic methods introduced in the 17th century made possible some proofs of the irrationality of transcendental numbers during the 18th century. At the turn of the 19th century the need for a clear conceptual characterization of the continuity of the real-number domain was not yet been envisioned and indeed crucial ingredients of a mature theory of real numbers were still lacking, as evidenced by the sporadic introduction of irrationals. But this is not to deny some groundbreaking features contained in the works of mathematicians of the first half of that century. The aim of this symposium will therefore be to throw light on that transitional period, before the 1870s, by examining the relevant contributions due to key authors of the German-speaking area, namely Lambert, Bolzano, M. Ohm and Grassmann. In doing so, and partly by paying attention to their biographies, we intend to address the ways in which those mathematicians and some of their contemporaries worked during that period. Workplace Institute of Philosophy Contact Chlumská Simona, chlumska@flu.cas.cz ; Tichá Zuzana, asep@flu.cas.cz Tel: 221 183 360 Year of Publishing 2022
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