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 language | English |
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Title of host publication | 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing 2023 |
Publisher | IEEE |
Pages | 11-19 |
Number of pages | 9 |
ISBN (Electronic) | 9798350394122 |
DOIs | |
Publication status | Published - 10 May 2024 |
Keywords
- Euclid
- Infinitesimals
- Mathematical Analysis
ASJC Scopus subject areas
- Software
- Computational Mathematics
- Health Informatics
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics