A mechanistic model has the following advantages: 1. It contributes to our scientific understanding of the phenomenon under study. 2. It usually provides a better basis for extrapolation (at least to conditions worthy of further experimental investigation if not through the entire range of all input variables). 3. It tends to be parsimonious (i. e, frugal) in the use of parameters and to provide better estimates of the response.
George E. P. BoxRelated topics
basis entire experimental following frugal investigation least model phenomenon range response study under understanding use worthy input conditions extrapolationRelated quotes
There was no way, without full understanding, that one could have confidence that conditions the next time might not produce erosion three times more severe than the time before. Nevertheless, officials fooled themselves into thinking they had such understanding and confidence, in spite of the peculiar variations from case to case. A mathematical model was made to calculate erosion. This was a model based not on physical understanding but on empirical curve fitting.
Richard Feynman
The years since the mid-1970s have been the most frustrating in the history of particle physics. We are paying the price of our own success: theory has advanced so far that further progress will require the study of processes at energies far beyond the reach of existing facilities. In order to break our of this impasse, physicists began in 1982 to develop plans for a scientific project of unprecedented size and cost, known as the Superconducting Super Collider.
Steven Weinberg
The last decades of scientific development have led us to the recognition of a new universal law of all natural phenomena, which, from its extraordinarily extended range, and from the connection which it constitutes between natural phenomena of all kinds, even of the remotest times and the most distant places, is especially fitted to give us an idea of what I have described as the character of the natural sciences, which I have chosen as the subject of this lecture.
Hermann von Helmholtz
Accommodationists further accuse scientists of having "faith in reason.” Yet reason is not an a priori assumption, but a tool that's been shown to work. We don't have faith in reason; we use reason, and we use it because it produces results and progressive understanding...
Reason is simply the way we justify our beliefs, and if you're not using it, whether you're justifying religious or scientific beliefs, you deserve no one's attention.
Jerry Coyne
The attack on economics sprang rather from a dislike of the application of scientific methods to the investigation of social problems. The existence of a body of reasoning which prevented people from following their first impulsive reactions, and which compelled them to balance indirect effects, which could be seen only by exercising the intellect, against intense feeling caused by the direct observation of concrete suffering, then as now, occasioned intense resentment.
Friedrich Hayek
