Problems with economic modelling: good textbooks/articles/papers? I am interested in the problems that may arise when one models economical phenomena using mathematics and indeed also the nature of these models. Are there some good and easily accessible textbooks, articles, papers or other literature out there treat this topic? Perhaps a few classics that are well-regarded in the field?

My background is mostly mathematical, but I understand intermediate economics, both macro and micro.
I recommend reading Dani Rodrik's new book, Economics Rules: The Rights and Wrongs of the Dismal Science. Rodrik supports the use of mathematics as bringing clarity of meaning, and argues that the subject is far more applied and empirical than its detractors realize.

The final couple of pages have Rodrik's Ten Commandments for Economists. Numbers one and two are: Economics is a collection of models; It's a model, not the model. And also Ten Commandments for Non-Economists, which include: maths is useful; economists are not all alike; economists typically do understand how markets work.



All the Commandements with Dani Rodrik's comments can be found here. This review can also be useful for clarifying some of the commandments.