On the centenary of Zygmunt Janiszewski (1888-1920)
Ideals of mathematical practice and the constitution of continuum theory
Bibliographic Data
| ID | 21812504 |
|---|---|
| Authors | Luis Carlos Arboleda (0000-0003-0444-1383, Universidad del Valle), Andrés Chaves, ANDRÉS MAURICIO BRICEÑO CHAVES (0000-0001-7669-7121, University of Nariño) |
| Year | 2020 |
| Volume | 8 |
| Issue | 18 |
| Pages | 431-453 |
| Publication date | 2020-10-07 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Revista Pesquisa Qualitativa (JOURNAL) |
| Journal identifiers | ISSN: 1809-0257 • E-ISSN: 2525-8222 |
| Publisher | Revista Pesquisa Qualitativa - RPQ (PUBLISHER) |
| DOI | 10.33361/rpq.2020.v.8.n.18.339 |
| OpenAlex | W3092583412 |
| Language | EN |
| Citations received | 1 |
| References cited | 1 |
This paper shows the importance of applying a certain approach to the history and philosophy of mathematical practice to the study of Zygmunt Janiszewski's contribution to the topological foundations of Continuum theory. In the first part, a biography of Janiszewski is presented. It emphasizes his role as one of the founders of the Polish School of Mathematics, and the social, political and military facets in which his intellectual character was revealed, as well as the values that guided his academic and scientific life. Kitcher's view of mathematical practice is then adopted to examine the philosophical conceptions and epistemological style of Janiszewski in relation to the construction of the formal axiomatic system of knowledge about the continua. Finally, it is shown the convenience of differentiating in Kitcher's approach, the methods, procedures, techniques and strategies of practice, and the aesthetic values of mathematics. Keywords: Zygmunt Janiszewski; Continuum theory; Philosophy of mathematical practice; Polish school of mathematics
Axiom · Constitution · Epistemology · Mathematical practice · Philosophy of Mathematics · Political science · Social practice · Sociology · Computer Science · Language and Culture · Law · Mathematical and Theoretical Analysis · Mathematics · Philosophy · Probability and Statistical Research
| Citations per year | 0.17 |
|---|---|
| Citation span | 2020 - 2020 (1) |
| Highly cited | No |