Chp 1 Sec 2 : Mathematical Modeling

Mathematical Modeling


“The purpose of models is not to describe reality but to clarify the conditions under which a statement is true.” 
- Robert Skidelsky, Emeritus Professor of Political Economy at the University of Warwick


"Models for population growth, too, are brushed aside by some ecologists as being far too simple to be real. But the models are intended as thought experiments, and not as pictures of real life. A model must be properly reduced, to the point of caricature, for the decisive elements to stand out. Such a model promises no prediction, but it offers understanding. Abstraction is always caricature: an exaggeration of essential traits, or at least an omission of irrelevant details." [emphasis mine]
Karl Sigmund (from Games of Life: Explorations in Ecology, Evolution and Behavior)

Between the idea
And the reality
Falls the Shadow
TS Elliot