I believe the goal of economics is to make accurate statements about economic phenomena. I think this is the purpose of any branch of knowledge. Scientists and academics attempt to make accurate statements about their object of study.
Economic statements can be about specific real world situations or they can be about universal phenomena. It's also important for statements to be somewhat explicit, otherwise it can be hard to pinpoint what is actually being declared. Economic statements can be written with mathematics or with common language.
I also want to differentiate between economic statements and economic concepts. Economic statements declare something, while economic concepts explain an idea without attaching it to reality. There is a fundamental difference between a statement and a concept. For example, the color blue is a concept but the existence of this concept doesn't mean everything is blue.
I like to think of testing economic statements as a two step process:
1. Make an economic statement
2. Accumulate evidence to determine the validity of the economic statement
In my opinion, the second step is the most important part of economics. Building a DSGE model is cool, but it's only a statement. I believe it's more important to find evidence that supports or disputes an economic statement in order to determine its accuracy. That's why I support econometrics and the empirical revolution in economics. I'm inspired by innovative methods that determine the validity of economic statements.
I believe one of the most common mistakes in modern economics is too much time spent building complex formal economic statements and not enough emphasis testing the validity of those statements. Sometimes it's better to just use common language.