Linearity and Reflexivity in the Growth of Mathematical Knowledge
Bibliographic Data
| ID | 4516259 |
|---|---|
| Authors | Leo Corry (0000-0002-9688-8168, Tel Aviv University, corresponding author) |
| Year | 1989 |
| Volume | 3 |
| Issue | 2 |
| Pages | 409-440 |
| Publication date | 1989-01-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Science in Context (JOURNAL) |
| Journal identifiers | ISSN: 0269-8897 • E-ISSN: 1474-0664 |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1017/s0269889700000880 |
| OpenAlex | W2047259517 |
| Language | EN |
| Citations received | 17 |
| References cited | 33 |
The ArgumentRecent studies in the philosophy of mathematics have increasingly stressed the social and historical dimensions of mathematical practice. Although this new emphasis has fathered interesting new perspectives, it has also blurred the distinction between mathematics and other scientific fields. This distinction can be clarified by examining the special interaction of thebodyandimagesof mathematics.Mathematics has an objective, ever-expanding hard core, the growth of which is conditioned by socially and historically determined images of mathematics. Mathematics also has reflexive capacities unlike those of any other exact science. In no other exact science can the standard methodological framework usedwithinthe discipline also be used to study the nature of the discipline itself.Although it has always been present in mathematical research, reflexive thinking has become increasingly central to mathematics over the past century. Many of the images of the discipline have been dictated by the increase in reflexive thinking which has also determined a great portion of the contemporary philosophy and historiography of mathematics
Epistemology · Historiography · Mathematical practice · Mathematics education · Philosophy of Mathematics · Philosophy of science · Political science · Reflexivity · Social science · Sociology · Chemistry · Historical Philosophy and Science · History and Theory of Mathematics · Law · Mathematics · Philosophy · Philosophy and History of Science
In der Mathematik ist ein Streit mit Sicherheit zu entscheiden“ Perspektiven einer Soziologie der Mathematik
Introduction
The Dorfman-Steiner condition and the mathematization of the theory of the firm
The Origins of Eternal Truth in Modern Mathematics
On metaphors of mathematics
Nicolas Bourbaki and the concept of mathematical structure
Kuhnian issues, scientific revolutions and the history of mathematics
Connecting the Revolutionary with the Conventional
From Rigor to Axiomatics
The Pure and the Applied
Quelle philosophie pour quelle mathématique
A Social History of the "Galois Affair" at the Paris Academy of Sciences (1831)
A History of the Histories of Econometrics
Survey of Recent Work in the History of Econometrics
Measurement, and Changing Images of Mathematical Knowledge
Qu'est-ce qu'un théorème (en pratique)
The Withering Immortality of Nicolas Bourbaki
Axiomatic set theory.
Sciences and Cultures
Criticism and the Growth of Knowledge
Proofs and Refutations
Falsification and the Methodology of Scientific Research Programmes
Who betrayed Euclid? (Extract from a letter to the editor)
Ten “Laws” concerning patterns of change in the history of mathematics
Die Seltenheit der Gleichungen mit Affekt
On the Need to Rewrite the History of Greek Mathematics
Treatise on Basic Philosophy
Working foundations
Towards a Theory of Mathematical Research Programmes (II)
Towards a Theory of Mathematical Research Programmes (I)
Imre Lakatos's Philosophy of Science
| Unique citing works | 17 |
|---|---|
| Citations per year | 0,5 |
| Citation span | 1992 - 2026 (35) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 16 |