From Plato to Weil and beyond
Genericity through the history of mathematics
Bibliographic Data
| ID | 22142804 |
|---|---|
| Authors | Renato Reis Leme (0000-0001-8199-1261, Universidade Estadual de Campinas (UNICAMP)), Giorgio Venturi (0000-0001-9089-4340, Universidade Estadual de Campinas (UNICAMP)) |
| Year | 2020 |
| Issue | 10 |
| Pages | 140-158 |
| Publication date | 2020-12-30 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Khronos (JOURNAL) |
| Journal identifiers | ISSN: 2447-2158 • E-ISSN: 2447-2158 |
| Publisher | Universidade de Sao Paulo, Agencia USP de Gestao da Informacao Academica (AGUIA) (PUBLISHER) |
| DOI | 10.11606/issn.2447-2158.i10p140-158 |
| OpenAlex | W3116138028 |
| Language | EN |
At the end of the 19th century, genericity took an important step toward mathematical analysis, due to the developments promoted by the Italian school of algebraic geometry. However, its origins can be traced back to ancient mathematics in the work of prominent philosophers and mathematicians, such as Plato and Euclid. In this article, we will try to show how a key notion in the structuralist turn of algebraic geometry evolved from a vague linguistic phenomenon and became a precise and fruitful mathematical concept
Algebra over a field · Algebraic geometry · Algebraic number · Epistemology · History of mathematics · Mathematical analysis · Mathematics education · Phenomenon · Pure mathematics · Computer Science · History and Theory of Mathematics · Mathematics · Mathematics and Applications · Philosophy
| Highly cited | No |
|---|