The paradoxes and the infinite dazzled ancient mathematics and continue to do so today

Fairouz Dib Kamareddine, Jonathan P. Seldin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

19 Downloads (Pure)

Abstract

This paper looks at how ancient mathematicians (and especially the Pythagorean school) were faced by problems/paradoxes associated with the infinite which led them to juggle two systems of numbers: the discrete whole/rationals which were handled arithmetically and the continuous magnitude quantities which were handled geometrically. We look at how approximations and mixed numbers (whole numbers with fractions) helped develop the arithmetization of geoemtry and the development of mathematical analysis and real numbers.
Original languageEnglish
Title of host publication25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing 2023
PublisherIEEE
ISBN (Electronic)9798350394122
DOIs
Publication statusPublished - 10 May 2024

Fingerprint

Dive into the research topics of 'The paradoxes and the infinite dazzled ancient mathematics and continue to do so today'. Together they form a unique fingerprint.

Cite this