[CamperBob]

Well, there's some low-hanging fruit in that article. What branches of economics do rest on scientific rigor?

[nl]

Plenty.

The most obvious and best known recent example is game theory, which John Nash famously won the Economics Nobel for: http://en.wikipedia.org/wiki/John_Forbes_Nash

The 1947 book "Foundations of Economic Analysis" is worth looking at. The table of contents - replicated in Wikipedia (http://en.wikipedia.org/wiki/Foundations_of_Economic_Analysi...) - will give you a good starting point.

[borism]

true, there are a lot of axioms in many branches of economics that noone is allowed to touch, some have more, some have less. But AFAIK nowhere as much as in Austrian School today.