Highlights in the Practice of Proof: 1600 BC–2009

Israel Kleiner ()
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Israel Kleiner: York University, Department of Mathematics and Statistics

Chapter Chapter 7 in Excursions in the History of Mathematics, 2012, pp 153-180 from Springer

Abstract: Abstract The above observation, by G.F. Simmons, is sound pedagogical advice. It also reflects mathematical practice and its historical evolution. Standards of rigor have changed in mathematics, and not always from less rigor to more. Mathematicians’ views of what constitutes an acceptable proof have evolved. In this chapter, we will give examples pointing to that evolution. For further examples, see Chaps. 8 and 9.

Keywords: Nineteenth Century; Axiomatic System; Differential Calculus; Mathematical Community; Divergent Series (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8268-2_7

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