Stevin numbers and reality

2011/05/12 by Karin Usadi Katz, Mikhail G. Katz · 3 citations
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #Probability and Statistical Research #math.CA #math.HO #math.LO #msc:01A85 #msc:26E35

paper · pdf · doi:10.1007/s10699-011-9228-9

published as Foundations of Science 17 (2012), no. 2, 109-123 · 22 pages, 4 figures. arXiv admin note: text overlap with arXiv:1104.0375, arXiv:1108.2885, arXiv:1108.4201

openalex publication_date 2011/05/12 · crossref created 2011/05/12 · crossref issued 2011/05/13 · crossref published 2011/05/13 · crossref published-online 2011/05/13 · arxiv created 2012/05/30 · arxiv updated 2012/05/31 · crossref published-print 2012/06/01 · openalex created_date 2016/06/24 · crossref deposited 2023/06/06 · crossref indexed 2023/06/06 · openalex updated_date 2026/07/28

Abstract

We explore the potential of Simon Stevin's numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.

Citations

• A Primer of Infinitesimal Analysis
• A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography
• Cauchy's continuum

Cited by

• Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond
• Survey Article: The real numbers–A survey of constructions
• Simon Stevin [wikipedia]

Related

• Ten Misconceptions from the History of Analysis and Their Debunking
• Real numbers as infinite decimals -- theory and computation
• The Shock of the Mean
• On the history of negative and complex numbers interpretation
• How real are real numbers?