Do you want to talk about abstraction in a topic that isn't maths?

Finding out things about the world isn't as important as finding out about structure.

Finding the structure of what?

Structure is independent of reality. Reality is dependent on structure.

Empiricism is always to be refined. Every part of empiricism is temporary. Every part of maths is absolute truth. And if it's not empirical, as in theories which you don't test, then you haven't supplied evidence for it.

I don't see how this is addresses the part of the discussion that you quoted. Also I am not sure what "it" refers to in the last sentence.

Name one truth which isn't mathematical but is absolute.

moreover anything in maths is applicable to the real world and tells you absolute truths about the real world, and there is no other source of absolute truth.

Well, that is a very strange thing to say. If this is a personal belief, fine. But if (in the spirit of the OP) this is intended to express a generally accepted idea, then definitely no.

Empiricism is always to be refined. Every part of empiricism is temporary. Every part of maths is absolute truth. And if it's not empirical, as in theories which you don't test, then you haven't supplied evidence for it.

With "math is about finding out things about the world" I was referring to the fact that everything in the world is modellable, simulatable and many things are formalisable.

That is the responsibility of science though. Mathematics in this case is only a tool and a language of science.

Finding out things about the world isn't as important as finding out about structure. Without structure you won't understand what you're trying to find out about the world, let alone make reasonable postulations about it.

With "math is about finding out things about the world" I was referring to the fact that everything in the world is modellable, simulatable and many things are formalisable. Any given phenomenon can be modelled or simulated, moreover anything in maths is applicable to the real world and tells you absolute truths about the real world, and there is no other source of absolute truth.

I mean the scientific approach applies to all of philosophy and verifies or repudiates it, while not all philosophy applies to science, mathematics applies to all of science and everything in science shows a mathematical framework, but not all science applies to maths. First principles of maths applies to all of maths, while not all of maths applies to first principles. So what comes after first principles? What subbranch of first principles will apply to all of first principles, while not all first principles applies to that subbranch?

But the subbranches are correct and they acquired general interest in that order.