Fragility and Deterministic Modelling in the Exact Sciences
Bibliographic Data
| ID | 8398018 |
|---|---|
| Authors | Rahmat Tavakol (0000-0002-9853-9025, Queen Mary University of London, corresponding author), R K TAVAKOL |
| Year | 1991 |
| Volume | 42 |
| Issue | 2 |
| Pages | 147-156 |
| Publication date | 1991-06-01 |
| Open Access | No |
| Type | ARTICLE |
| Venue | The British Journal for the Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0007-0882 • E-ISSN: 1464-3537 |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/bjps/42.2.147 |
| OpenAlex | W2024335834 |
| Language | EN |
| Citations received | 4 |
| References cited | 8 |
The theoretical framework adopted in the exact sciences, for constructing and testing deterministic theories on the one hand, and modelling and analysis of observed phenomena on the other, is often implicitly assumed to be that of structural stability. In view of recent developments in nonlinear dynamics, it is argued here that in general it may not be possible to assume strict determinism and structural stability simultaneously; either strict determinism holds, in which case the fragility framework may turn out to be the appropriate framework for the study of certain phenomena in the exact sciences, or ‘structural stability’ is restored at the expense of introducing stochasticity. In this sense a certain degree of indeterminacy may be unavoidable even at the classical level.
Calculus (dental) · Degree (music) · Determinism · Epistemology · Fragility · Indeterminacy (philosophy) · Mathematical economics · Nonlinear system · Physics · Stability (learning theory) · Statistical physics · Chaos control and synchronization · Complex Systems and Time Series Analysis · Computer Science · Mathematics · Nonlinear Dynamics and Pattern Formation · Philosophy
| Citations per year | 0.12 |
|---|---|
| Citation span | 1993 - 2015 (23) |
| Highly cited | No |